Go math grade 3 chapter 4 test pdf

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Go math grade 3 chapter 4 test pdf

For Math Grade 3 Answer Key Chapter 4 Multiplier Facts and Strategies helps thousands of students to achieve excellent grades. Students can effectively solve problems and grab knowledge and skills with a Go Math Grade 3 answer key. Help your students keep up and keep up with maths with the reference of the HMH Go Grade 3 mathematical solution key. It is important to know the process of solving a problem more than finding the right answer to improve the skills of your students. For math answer key grade 3 episode 4 multiplication facts and strategies will give all the flexibility to build their confidence and do math in an easy way. For Math Grade 3 Chapter 4 multiplies key facts and answer strategies to move successfully, see Class 3 multiplication facts. Help your kids move on to the next level by encouraging them with a lot of practice. Use for Math Grade 3 Answer Key Chapter 4 multiplier facts and strategies and achieve your goals easily. Lesson 1: Doubling by 2 and 4 2: Doubling by 5 and 10 Lesson 3: Doubling by 3 and 6 Lesson 4: Algebra ? Divided Property Rate 5: Doubling with 7 Pages 21 21 9 Multiplication with 7 Lesson Check Page 220 Checkpoint In the Middle of Episode 221 Checkpoint In the Middle of Chapter 222 Lesson 6: Algebra ? Associative Characteristic of Multiplication Rate 7: Algebra ? Patterns on Multiplication Lesson in Doubling Table 8: Multiply with 8 Pages #239 Multiply with 8 Lessons Check Page 240 Lesson 9: Multiplication with 9 pages Number 245 Multiplication with 9 pages For checking lessons No. Lesson 246 10: Problem Solving ? Multiplication page No 251 multiplication rate check page 252 Chapter 4 Review/Multiplication Test with 2 and 4 pages No. 195 Write multiplication statement for the model. Question 1. Think: there are 2 groups of 5 counters. Answer: 2 ? 5 = 10 Explanation: Draw 2 counters. 5 spot targets at 2 meters. Count the total number of both goals. Add 5 + 5 to get the answer. Finally, you get 10. Question 2. ______ ? ________ = ______ Find the product. Answer: 4?3 = 12 Explanation: Take a look at the figure above. You can see 4 counters and 3 targets on each counter. So, you need to multiply 4?3. When you multiply with 4, you can first multiply with 2 and then multiply the product. Multiply 3 with 2. You'll get 2?3 is 6. Now, multiply the number six. The final answer is 12. Question 3. 2 ? 6 ------ ________ Answer: 2?6 = 12 Explanation: When there is a multiplication requires with 2, you can multiply the given number 6 to get the final answer. The answer is 6+6 = 12. Question 4. 4 ? 8 ------ _______ Answer: 4?8 = 32 Explanation: You can multiply 2?8 to get 4?8. Multiply 8 with 2. You'll get 16. Then, multiply the product to get the answer 4?8. You will get 16+16 = 32. So, you get the final answer as 32. Question 5. 2 ? 3 ---- _________ Answer: 2?3 = 6 Explanation: Draw two counters. Set three targets at two counters. Now, add Targets by two meters. The final answer is 3+3 = 6. So, 2?3=6 is the answer. Question 6. 4 ? 6 ------ _________ Answer: 4?6 = 24 Explanation: You can multiply 2?6 to get 4?6. Multiply 6 with 2. You'll get 12. Then, multiply the product to get the answer 4?6. You will get 12+12 = 24. So, you get the final answer as 24. Question 7. 4 ? 4 ------ _______ Answer: 4?4 = 16 Explanation: Multiply 4 with 2. 2?4 = 8. Now, multiply the number 8. 8+8 = 16. The answer to 4?4 is 16 question 8. 2 ? 7 ---- _________ Answer: 2?7 = 14 Explanation: The given multiplication is 2?7. The answer to any double number with 2 is twice that number. So, 2?7 can be found by doing 7+7. The answer is 7+7 = 14. Therefore, the final answer is 2?7 = 14. Question 9. 4 ? 5 ------ _________ Answer: 4?5 = 20 Explanation: First, multiply 2?5 to get the answer for 4?5. Then, multiply the answer of 2?5 to get the final answer. So, do 2?5 = 10. Multiply the number 10 to get the answer 4?5. The multiple of 10 is 10+10 = 20. The answer to 4?5 is 20. Question 10. 2 ? 4---- _________ Answer: 2?4 = 8 Explanation: Multiplication starts with 2. So, you can multiply 4 to get the answer of 2?4. The multiple of 4 is 4+4 = 8. The answer to 2?4 is 8. Troubleshoot question 11. On Monday, Stephen read nine pages of his new book. To finish the first chapter on Tuesday, he needs to read twice the number of pages he read on Monday. How many pages does he have to read on Tuesday? __________ Pages Answer: 18 Explanation: Stephen read 9 pages of his new book on Monday. He wants to finish his first episode on Tuesday. To finish the chapter, he needs to double the number of pages he read on Monday. Double pages to read on Monday = 9 x 2 =18. Stephen has to read 18 pages on Tuesday. Question 12. Courtney's school has a family game night. Each table has 4 players. There are 7 tables in total. How many players are there on game night? ___________ Actors Answer: 28 Explanation: From the given information Courtney's school is that there is a family game night. Each table has 4 players. There are 7 tables in total. So, every table has four players. To know the total number of players on game night, we need to multiply 7 with 4. The total number of players on the eve of the game = 7 x 4 = 28. Multiply with 2 and 4 lessons Check page 196 Question Rate Check 1. Which multiplication statement matches the model? Options: a. 3 ? 2 = 6 b. 4 ? 2 = 8 c. 4 ? 4 = 16 d. 4 ? 8 = 32 Answer: b Explanation: The above consists of 4 counters. Also, each counter has two purposes in it. Therefore, we need to multiply the number of meters with a number of targets. The answer is 4?2 = 8. Question 2. Find the product. 2 ? 8 ----______ Options: a. 10 b. 14 c. 16 d. 18 Answer: C Explanation: To resolve 2?8, multiply the number 8. The answer to 2?8 is 8+8. Therefore, the final answer is 2?8 = 16. Question 3. Sean did a photo graph to show off his friends' favorite colors. That's the key to the graph. All = 2 members. Some friends do For? Options: a. 4 b. 8 c. 20 d. 40 Answer: b Explanation: Sean made 4 picture graphs to show his friends' favorite colors. Each represents 2 members. So, to find the final answer, we need to add all the colors. As there are 4 image graphs you should do 2+2+2+2 = 8. There are 8 members available. Question 4. The table shows the lengths of some walking paths. How many meters more is the mountain trail than harmony trail? Options: a. 216 ft b. 264 ft in the same 100 meters d 528 feet Answer: C. Explanation: In the table above, we can see three different hiking trails and lengths of three people. The length of the mountain hiking trail is 844feets. The length of the lake's hiking trail is 250 yards away. The Harmony hiking trail is also 150 yards away. To get a few meters longer is the mountain trail than the Harmony Trail, we have to missing the length of a harmonious hiking trail from the length of the mountain path. So, now we have to make an 844-528 that's equal to 316 yards. So, the mountain trail went 316 meters from a harmonious trail. Question 5. Find the amount. 5 2 7 + 1 5 4 ------- Options: a. 373 b. 581 c. 671 D. 681 Answer: C Explanation: Break the additions from the given values. Start with hundreds. Then, add any space value. Let's write 527 as 500+20+7 and 154 as 100+50+4. Summarize the two values above. Then you get 600+70+11. Add these and then add the 10 and 100's. The final answer is 681. Question 6. A graph of columns shows that sports goods received 9 votes. If the scale is 0 to 20 by 20 by 2, where should the bar finish the sports books? Options: A between 8 and 10B on 10C on 8d between 6 and 8 Answer: C Explanation: According to the data, sports books received 9 votes. If we take a bar graph on a scale of 0 to 20 by 2, the graph is 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. So, the number 9 will be between the numbers 8 and 10. Therefore, the answer is between 8 and 10. Multiply by 5 and 10 pages no. 201 find the product. Question 1. 5 ? 7 = 35 Answer: 35 Explanation: Skip count by 5 until you say 7 numbers. 5, 10, 15, 20, 25, 30, 35. Now, the count of the number is 7. So, the answer for 5 x 7 is 35. Question 2. 5 ? 1 = _________ Answer: 5 Explanation: Each duplicate number 1 is the same number. So the answer is 5. Question 3. 2 ? 10 = _______ Answer: 20 Explanation: A multiple of 10 is any product that has 10 as one of its causes. So, the multiplication of each number with 10 is 10 of a certain number. The answer is 20. Question 4. ________ = 8 ? 5 Answer: 40 Explanation: From the Doubling, you can write 8 x 5 = 5 x 8. So, to find the multiplication of 5 x 8, skip count by 5 of until you say 8 numbers. 5, 10, 15, 20, 25, 30, 35, 40. Now, the count of the number is 8. So, the answer for 5 x 8 is 40. Therefore, the answer for 8 x 5 is 40. Question 5. 1 ? 10 = ________ Answer: 10 Explanation: Multiplication of each number with 1 is the same number. So, 1 x 10 = 10. Question 6. _______ = 4 ? 5 Answer: 20 Explanation: Using the Commutative Law of You can write 4 x 5 = 5 x 4. Now, skip counting by 5's until you say 4 numbers. 5, 10, 15, 20. Therefore, the answer for 5 x 4 is 20. Question 7. 5 ? 10 = _______ Answer: 50 Explanation: Skip-Count by 5 of 10 times. You can write like 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. The answer for 5 x 10 is 50. Question 8. 7 ? 5 = ________ Answer: 35 Explanation: Write 7 x 5 as 5 x 7 in accordance with the multiplication rule. Now multiply for 5 x 7. Skip-count by 5 of seven times. Now, you can write like 5, 10, 15, 20, 25, 30, 35. The answer for 5 x 7 is 35. So, the answer for 7 x 5 is also 35. Question 9. _______ = 5 ? 5 Answer: 25 Explanation: Skip count by 5 times. You can have 5, 10, 15, 20, 25. The answer for 5 x 5 is 25. Question 10. 5 ? 8 = _________ Answer: 40 Explanation: You can skip-count by 5 of 8 times. Write like 5, 10, 15, 20, 25, 30, 35, 40. So, the answer for 5 x 8 is 40. Question 11. ______ = 5 ? 9 Answer: 45 Explanation: A multiple of 5 ? 9 is calculated so that Skip-count 5 times. You can write about 5, 10, 15, 20, 25, 30, 35, 40, 45. The final answer to 5 ? 9 is 45. Question 12. 10 ? 0 = ________ Answer: 0 Explanation: Multiplication of each number with 0 is 0. So, the answer for 10 x 0 is 0. Question 13. 5 ? 6 ---- _________ Answer: 30 Explanation: Skip count by 5 until you say 6 numbers. 5, 10, 15, 20, 25, 30. So, the answer for 5 x 6 is 35. Question 14. 10 ? 7 ------ ________ Answer: 70 Explanation: Add 10 until you say 7 numbers. Now, you can write as 10 + 10 + 10 + 10 + 10 + 10 + 10. Now, add the 10 to get the final answer. There are seven 10's available. So the answer is 70. Question 15. 5 ? 3 ---- ________ Answer: 15 Explanation: Skip count by 5 until you say 3 numbers. Write something like 5, 10, 15. The answer for 5 x 3 is 15. Question 16. 10 ? 4---- -- _ _________ Answer: 40 Explanation: Add 10 until you say 4 numbers. Then, write as 10 + 10 + 10 + 10 to get the answer. The answer for 10 x 4 is 40. Question 17. 5 ? 0 ----- ______ Answer: 0 Explanation: Multiplication of each number with 0 is 0. So, the answer for 5 x 0 is 0. Question 18. 10 ? 8 ----- __________ Answer: 80 Explanation: You need to add 10 until you say 8 numbers. Write as 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10. Now, add the 10 to get the final answer. There are eight 10's available. So, the answer for 10 x 8 is 80. Question 19. 5 ? 2 ----- ________ Answer: 10 Explanation: Skip count by 5 until you say 2 numbers. Write something like 5, 10. The answer for 5 x 2 is 10. Question 20. 10 ? 6 ------ _ _________ Answer: 60 Explanation: Add 10 until you say 6 numbers. Write as 10 + 10 + 10 + 10 + 10 + 10 + 10. Now, add the 10 to get the final answer. So, the answer for 10 x 6 is 60. Troubleshoot question 21. Ginger takes 10 cents to buy some pencils at the school store. How much of a ginger st. should you spend? _________ Answer: 50 Explanation: From the data data, Ginger takes 10 cents to buy some pencils at the school store. One nickel can be treated like 5 cents. The value of 10 nickel is 10 nickels x 5 cents = 50 cents. Ginger has to spend 50 cents to buy pencils at the school store. Question 22. The onergreen school gym has three basketball courts. There are 5 players on each of the courts. How many players are there in total? _________ Players Answer: 15 Explanation: According to the data, the Awergreen School gym has three basketball courts. There are 5 players on each of the courts. The number of players there in total = 3 basketball courts x 5 players = 15 players. A total of 15 players are available. Multiply with 5 and 10 pages for checking lessons 202 Question 1. Mrs. Heinley grows roses. There are six roses on each of her 10 rose bushes. How many roses are there in Mrs. Hirley's rose bushes? Options: a. 16 b. 54 C. 60 D. 66 Answer: 60 Explanation: There are 10 rose bushes available. In every rose bush, Mrs. Heinley grows six roses. So, to find the number of roses, you need to multiply 10 x 6. Multiplication of 10 x 6 is 60. The total number of roses on Mrs. Heinley's rose bushes is 60. Question 2. Find the product. 5 ? 8 -----: a. 8 b. 16 c. 35 d. 40 Answer: 40 Explanation: Skip-count by 5 of 8 times. Write like 5, 10, 15, 20, 25, 30, 35, 40. So, the answer for 5 x 8 is 40. Spiral Review Question 3. Mr. Miller's class pointed out where to go for a walk. Use the image graph to find out which choice received the most votes. Options: A. Science Center B. Aquarium C. Zoo D. Museum Answer: C. Zoo explanation: From the given figure, Mr. Miller's class voted for a field trip. From the table, each start represents 2 votes. It is mentioned that for the Science Center, Mr. Miller gave two starts. With one star representing two votes, he gave four votes to the Science Center. Similarly, the aquarium = 3 and a half stars. The half star represents one voice. So, the number of votes given to the aquarium is 7. For the zoo, he gave 4 stars. So, every start means two votes. The total number of votes is 8. Finally, the number of starts for the museum is 2. So, the total number of votes is 4. Mr. Miller's class gets a high number of votes for the zoo. So, Mr. Miller's class wants to go to the zoo. Question 4. Zack made this table for his survey. How many students were surveyed in total? Options: A. 38 B. 43 C. 47 D. 49 Answer: C. 47 Explanation: Zach prepared a table of flavors and votes. So, each voice represents one person. By adding the total number of votes, we can get the total number of students surveyed ina. Add 16 + 10 + 9 + 12 = 47. A total of 47 students were surveyed to vote for their favourite juice. Question 5. Which of the following numbers is worth? 25, 28, 31, 37 Options: A. 25B 28 C. 31 D. 37 Answer: B. 28 Explanation: Even numbers are divided by 2. Also, even numbers end with a digit of 0, 2, 4, 6, or 8. So, the given number of the given numbers is 28. It ends with 8 and also it can be divided by 2. Question 6. Evaluate the amount. 4 7 9 + 8 9 ------: a. 568 b. 400 approx. 500 D. 600 Answer: A. Explanation: Add these. Rearrange these as dozens and dozens. So, 9 + 9 = 18. Stay 8 the same and add the 1 to the dozens. Add the dozens. Rearrange the dozens like hundreds and dozens. Now, add 7 + 8 + 1 = 16. Place the 6 instead of the dozens and transfer the 1 to hundreds. Add hundreds now. 4 + 1 = 5. So, now place the numbers in order. The final answer is 568. Note: The option changes for the question above. There is no correct answer available in the given options. Therefore, option a changes to the correct answer. The answer is explained with the place value to add two method appendices. Multiply with 3 and 6 pages 207 find the product. Question 1. 6 ? 4 = 24 Important: You can use pairs. 3 ? 4 = 12 12 + 12 = 24 Answer: 24 Explanation: Through pairs, we can find a value of 6 x 4. First, multiply the cause with half of 6. So, now we can make 3 x 4 = 12. Now, we can double the value of 3 x 4. That's 12+ 12 = 24. Therefore, the answer for 6 x 4 = 24. Question 2. 3 ? 7 = _______ Answer: 21 Explanation: Skip count by 3 until you say 7 numbers. 3, 6, 9, 12, 15, 18, 21. So, the answer for 3 x 7 is 21. Question 3. ________ = 2 ? 6 Answer: 12 Explanation: With the Multiplication Rule, you can write 2 x 6 as 6 x 2. Multiply the cause 2 with 5, and then add the cause to it to get the final answer. First, multiply the cause with 5. That's 5 x 2 = 10. Now, add the cause with the answer of 5 x 2. 10 +2 = 12. The answer for 6 x 2 is 12. So, the answer for 2 x 6 is 12. Question 4. ________ = 3 ? 5 Answer: 15 Explanation: You can skip count by 3 until you say 5 numbers. 3, 6, 9, 12, 15. So, the final answer for 3 x 5 is 15. Question 5. 1 ? 3 = __________ Answer: 3 Explanation: Multiplication of each number with 1 is the same number. So, 1 x 3 = 3. Question 6. ________ = 6 ? 8 Answer: 48 Explanation: Use multipliers to find the answer of 6 x 8. First, multiply 3 x 8 = 24. Then, multiply the value to 3 x 8. 24 + 24 = 48. The answer for 6 x 8 is 48. Question 7. 3 ? 9 = __________ Answer: 27 Explanation: Skip count by 3 until you say 9 numbers. Write like 3, 6, 9, 12, 15, 18, 21, 24, 27. The answer for 3 x 9 is 27. Question 8. _______ = 6 ? 6 Answer: 36 Explanation: Use multipliers to find the answer of 6 x 6. First, multiply 3 x 6 = 18. Then, multiply the value to 3 x 6. 18 + 18 = 36. The answer for 6 x 6 is 36. Question 9. 4 ? 3 ---- _________ Answer: 12 Explanation: Write 4 x 3 as 3 x 4 depending on the multiplication rule. Now multiply for 3 x 4. Skip-count by 3 of four times. Now, you can write as 3, 6, 9, 12. The answer for 3 x 4 is 12. So, the answer for 4 x 3 is also 12. Question 10. 6 ? 5 ---- _______ Answer: 30 Explanation: Multiply the given factor 5 by 5. Then, add 5 to the reply to get the answer for 6 x 5. First, multiply 5 x 5 = 25. Add 5 to 25. 5 + 25 = 30. So, the answer for 6 x 5 is 30. Question 11. 2 ? 3 ---- _________ Answer: 6 Explanation: Using the Doubling Act, you can write 2 x 3 = 3 x 2. Now, skip count by Until you say two numbers. 3, 6. Therefore, the answer to 3x2 is 6. The answer for 2 x 3 is 6. Question 12. 6 ? 3 ---- ________ Answer: 18 Explanation: Double value of 3 x 3 to get the answer for 6 x 3. Answer for 3 x 3 = 9. Now, multiply the value of 9. The answer for 6 x 3 is 9 + 9 = 18. Question 13. 10 ? 6 ----- _______ Answer: 60 Explanation: Using the Doubling Act, you can write as 10 x 6 = 6 x 10. Now, multiply the 10 with five. The answer is 5 x 10 = 50. Now, add the 10 to 50 to get the answer. The answer for 6 x 10 is 10 + 50 = 60. So, the answer for 10 x 6 is 60. Question 14. 3 ? 6 ----- _______ Answer: 18 Explanation: Skip count by 3 of 6 times. You can write as 3, 6, 9, 12, 15, 18. The answer for 3 x 6 is 18. Question 15. 7 ? 6 ----- _______ Answer: 42 Explanation: With the Doubling Act, you can change 7 x 6 to 6 x 7. Multiply the value of 3 x 7 to get 6 x 7. Now, make 3 x 7 = 21. Multiply the 21st. 21 + 21 = 42. Answer for 6 x 7 = 42. So, the answer for 7 x 6 is 42. Question 16. 3 ? 0 ----- _________ Answer: 0 Explanation: Multiplication of each number with 0 is 0. So, the answer for 3 x 0 is 0. Question 17. 9 ? 6 ----- _______ Answer: 54 Explanation: Write 9 x 6 as 6 x 9 using the Doubling Act. Multiply the 9th by 5. 5 x 9 = 45. Now add the 45 to nine. Therefore, the answer for 6 x 9 is 45 + 9 = 54. Therefore, the answer for 9 x 6 is 54. Question 18. 3 ? 3 ----- _______ Answer: 9 Explanation: Skip count by 3 until you say 3 numbers. 3, 6, 9. So, the answer for 3 x 3 is 9. Question 19. 10 ? 3 ---- ? ________ Answer: 30 Explanation: Use a commutative doubling law to write 10 x 3 to 3 x 10. Now, skip counting by 3's until you say 10 numbers. 3, 6, 9, 12, 15, 18, 21, 24, 27, 30. So, the answer for 3 x 10 is 30. Therefore, the answer for 10 x 3 is 30. Question 20. 1 ? 6 ---- _________ Answer: 6 Explanation: Multiplication of each number with 1 is the same number. So, 1 x 6 = 6. Troubleshoot question 21. James got three hits in each of his baseball games. He played four games of baseball. How many hits did he have in total? _________ Hits Answer: 12 hits Explanation: According to the data, James got 3 hits in each of his baseball games. He played four games of baseball. To find the number of hits he had in total, we need to multiply, 3 hits x 4 baseball games. Therefore, the answer is 3 x 4 = 12 hits. Question 22. Mrs. Burns buys muffins. There's six muffins in every box. If she buys five boxes, how many muffins will she buy? ___________ Muffins Answer: 30 Muffins Explanation: From the information provided, Mrs. Burns buys muffins. She'll buy five boxes, each with six muffins. So, to find the total number of muffins, we need to double, a few boxes and a number of muffins in it. The total number of muffins = 6 x 5 = 30. She'll buy 30 muffins. Multiply with 3 and 6 pages for checking lessons 208 Question 1. Paco buys a carton of eggs. Cardboard has 2 rows of eggs. They're six eggs in each row. How many eggs are in the cardboard? Options: A. 8 B. 12 C. 14 D. 24 Answer: B. 12 Explanation: From the data, Paco buys egg carton. Cardboard has 2 rows. Each row has six eggs. To find the number of eggs, we need to double the number of lines and the number of eggs for each row. Therefore, the number of eggs in cardboard is 2 x 6 = 12. 12 eggs available in cardboard. Question 2. Find the product. 9 ? 3 ---- Options: A. 18 B. 24 B. 27 D. 36 Answer: C. 27 Explanation: Use the doubling law to write 9 x 3 to 3 x 9. Now, skip counting by 3's until you say 9 numbers. 3, 6, 9, 12, 15, 18, 21, 24, 27. So, the answer for 3 x 9 is 27. Therefore, the answer for 9 x 3 is 27. Spiral Review Question 3. Find the difference. 5 6 8 ? 2 8 3 ------ Options: a. 285 b. 325 approx. 385 d. 851 Answer: A. 285 Explanation: To missing these. 8 ? 3 = 5. Then, reduce the dozens. 6 < 8. So, regroup 5 centuries 6 scores equals 4 centuries 8 dozens. 16 ? 8 = 8. Reduce the hundreds and add them to check the answer. 4 ? 2 = 2. The final answer is 285. Question 4. Dwight scored twice more baskets in the second half than he did in the first half. He scored five baskets in the first half. How many baskets did he make in the second half? Options: A. 7B 9 About 10 D 20 Answer: About 10 explanations: Given that Dwight made twice as many baskets in the second half of the basketball game than in the first half. He scored five baskets in the first half. So to find the baskets in the second half, we need to double the baskets in the first half. Baskets in the second half = 5 x 2 = 10. Question 5. In Jane's photo graph, the smile icon represents two students. One line of the image graph contains 8 symbols. How many students does that represent? Options: A. 40 B. 32 C. 24 D. 16 Answer: D. 16 Explanation: Jane's picture graph, the smile symbol represents 2 students. The one line in the image graph has 8 symbols. To find the total number of students, we need to double the number of smiles and the number of students for each smile. The number of students per line is 8 x 2 = 16. Question 6. Which multiplication statement does this array display? Options: a. 5 ? 6 = 30 b. 6 ? 6 = 36 c. 5 ? 5 = 25 d. 1 ? 6 = 6 Answer: a. 5 ? 6 = 30 Explanation: The given array shows that it has 6 boxes for row and 5 boxes for a column. Therefore, by multiplying the number of rows x the number of columns, the correct answer is 6 x 5 = 30. Using a doubling law, we can write 6 x 5 = 5 x 6. Therefore, the answer from the given options is 5 ? 6 = 30. Divided Property Page 213 is written one way to disassemst the array. Then find the product. Question 1. (3 ? 7) + (3 ? 7) 42 Answer: 42 Explanation: The given array is 6 x 7. Use the distribution property to get the final answer. Break the array rows to create two smaller arrays with facts 3 and 3. Now, you can write the given array as (3 + 3) x 7. Then, multiply each appendix by 7. The Indes (3 x 7) +(3 x 7). Now simplify and add them to get the final answer. 21 + 21 = 42. Question 2. __________ Answer: 32 Explanation: The given array has 8 columns and 4 rows. Simplify the answer with a dividing feature. Now, break the array rows to create two smaller arrays with facts 2 and 2. To get the answer, we need to write 4 x 8. By performing smaller arrays, you can write it as (2 + 2) x 8. Multiply each appendix by 8. The equation becomes (2 x 8) +(2 x 8). Now simplify and add them to get the final answer. 16 + 16 = 32. Question 3. __________ Answer: 54 Explanation: The given figure includes 9 columns and 6 rows. Use the Divide property to get the answer of a given array. Let's break the array rows with two smaller arrays with facts 3 and 3. Now, write the equation as 6 x 9 = (3 + 3) x 9. Multiply every 3 with 9. 27+27. The final answer is 54. Question 4. ________ Answer: 56 Explanation: The given array has 8 columns and 7 rows. With dividing assets, you can resolve the given array. Break the array columns by using two smaller arrays with facts 4 and 4. Write the equation as (7 x 4) + (7 x 4) = 28 + 28 = 56. Troubleshoot question 5. There are 2 rows of 8 chairs set in the library for a puppet show. How many chairs are there in total? Use the distribution property to resolve. _________ Answer chairs: 16 Explanation: From the given information, there are 2 rows of 8 chairs set up in the library for a puppet show. So, in the array, there are 2 rows and 8 columns. To find the answer, we need to multiply 2 x 8. Using a divided asset, we can solve 2 x 8. Summarize the number 2 in Facts 1 and 1. So, we can write as (1 + 1) x 8. Simplify the answer by multiplying each appendix to 8. (1 x 8) + (1 x 8) = 8 + 8 = 16. There are 16 chairs available in two rows. Question 6. A marching band has 4 rows of trumpetroopers with 10 trumpetroopers per line. How many trumpetroopers are there in the marching band? Use the distribution property to resolve. _________ Trumpectors Answer: 40 Explanation: Out of the given information, a marching band has 4 rows of trumpectors with 10 trumpectors per line. To know the number of trumpeers, we must calculate 4 x 10. With a dividing asset, you can separate the number one with its totals. Now write off 4 with its amounts 2 and 2. (2 + 2) x 10. Now, you can multiply each appendix with 10. (2 x 10) + (2 x 10) = 20 + 20 = 40. Forty trumpetroopers are in the marching band. Divided Property Rate Review Page 214 Question 1. Which number statement is an example of the division property? Options: a. 7 ? 6 = 6 ? 7 b. 7 ? (2 ? 3) = (7 ? 2) ? 3 c. 7 ? 6 = (7 ? 3) + (7 ? 3) d. 7 + 6 = 7 + 3 + 3 Answer: C. 7 ? 6 = (7 ? 3) + (7 ? 3) Explanation: Divisive characteristic: The divisive property states that multiplying an amount by the same number multiplied by the number and then adding the products. So, from the given options, c. 7 ? 6 = (7 ? 3) + (7 ? 3) is the correct answer. Question What is one way to dismantle the array? Options: A. (2 ? 6) + (2 ? 6) b. (4 ? 2) + (4 ? 2) C. (4 ? 4) + (4 ? 4) D ( 6 ? 3) + (6 ? 3) Answer: A. (2 ? 6) + (2 ? 6) Explanation: The given figure has 6 columns and 4 rows. With a divided asset, you can easily find the answer. Let's break the array rows with two smaller arrays with facts 2 and 2. Now, write the equation as 4 x 6 = (2 + 2) x 6. Multiply every 2 with 6. You can write the equation as (2 x 6) + (2 x 6). Spiral Review Question 3. The school auditorium has 448 chairs for a third-grade performance. What is 448 rounded to the nearest ten? Options: A. 500 B. 440 Approx. 450 D. 400 Answer: Approx. 450 Explanation: Given that the school auditorium has 448 chairs designed for third grade performance. The number 448 ranges from 440 to 450. 448 is closer to 450 than to 440. So, 448 rounds to 450. Question 4. Find the difference. 4 0 0 ? 2 9 6 ------- options: a. 104 b. 114 approx. 204 D. 296 Answer: A. 104 Explanation: To missing these. 0<6. So regroup 0 scores 0 these = 1 scores 4 of these. Now, do 10 ? 6 = 4. Then, reduce the dozens. 9 = 9. So, then regroup. 400 9 scores = 300 4 dozens. 9 ? 9 = 0. Reduce the hundreds and add them to check the answer. 3 ? 2 = 1. The final answer is 104. Question 5. There are 622 fruit snacks in one box and 186 in another. How many fruit snacks are there in total? 6 2 2 + 1 8 6 ------- Options: a. 436 b. 708 C. 768 D. 808 Answer: D. 808 Explanation: Break the additions from the given values. Start with hundreds. Then, add any space value. Let's write 622 as 600 + 20 + 2 and 186 as 100 + 80 + 6. Summarize the two values above. Then you get 700+ 100+ 8. Add these and then add the 10 and 100's. The final answer is 808. Question 6. What sport do six students play in? A. Football B. Baseball C. Basketball D. Football Answer: A. Football Explanation: From the given picture it is mentioned that sports students play and the number of students for this game. As mentioned above, football needs six students. Baseball needs 12 students. Basketball needs 10 students. Also, football needs 16 students. So, the answer is football sports required 6 students to play. Multiply with 7 pages number 219 find the product. Question 1. 6 ? 7 = 42 Answer: 42 Explanation: Using pairs, we can find a value of 6 x 7. First, multiply the cause with half of 6. So, now we can make 3 x 7 = 21. Now, we can double the value of 3 x 7. That's 21 + 21 = 42. Therefore, the answer for 6 x 7 = 42. Question 2. ________ = 7 ? 9 Answer: 63 Explanation: Use the Distribution property to find the value of 7 x 9. If we take 7 rows and 9 columns of an array, we can divide the array into two smaller arrays with the facts of 9. Now, write down 7 x 9 as 7 x (6 + 3). Multiply the facts with the 7th. Then, you get (7 x 6) + (7 x 3). Therefore, you get the answer as 42 + 21 = 63. Question 3. _______ = 1 ? 7 Answer: 7 Explanation: Multiplication of each number with 1 is the same number. So, 1 x 7 = 7. 4. 3 ? 7 = ________ Answer: 21 Explanation: Skip count by 3 until you say 7 numbers. 3, 6, 9, 12, 15, 18, 21. So, the answer for 3 x 7 is 21. Question 5. 7 ? 7 = ________ Answer: 49 Explanation: Let's take the array there are 7 columns and 7 rows. Simplify the answer with a dividing feature. Now, break the array rows to create two smaller arrays with facts 4 and 3. To get the answer, we need to write 7 x 7. By performing smaller arrays, you can write it as (4 + 3) x 7. Multiply each appendix by 7. The equation becomes (4 x 7) +(3 x 7). Now simplify and add them to get the final answer. 28 + 21 = 49. Question 6. _______ = 2 ? 7 Answer: 14 Explanation: Draw two counters. Set seven targets at two counters. Now, add the targets by two meters. The final answer is 7 + 7 = 14. So, 2?7 = 14 is the answer. Question 7. 7 ? 8 = ________ Answer: 56 Explanation: Dividing Property: The Distribution property indicates that you multiply a total by the same number as each appendix in a number, and then add the products. So, from the given options, c. 7 ? 8 = (7 ? 4) + (7 ? 4) = 28 + 28 = 56. Question 8. ______ = 4 ? 7 Answer: 28 Explanation: First, multiply 2?7 to get the answer for 4?7. Then, multiply the answer of 2?7 to get the final answer. So, do 2?7 = 14. Multiply the number 14 to get the answer 4?7. The multiple of 14 is 14 +14 = 28. The answer to 4?7 is 28. Question 9. 7 ? 5 ----- _________ Answer: 35 Explanation: From the Doubling Act, you can write 7 x 5 = 5 x 7. So, to find the multiplication of 5 x 7, skip count by 5's until you say 7 numbers. 5, 10, 15, 20, 25, 30, 35. Now, the count of the number is 7. So, the answer for 5 x 7 is 35. Therefore, the answer for 7 x 5 is 35. Question 10. 7 ? 1 ----______ Answer: 7 Explanation: Using the Doubling Act, you can write 7 x 1 = 1 x 7. Doubling each number by 1 is the same number. So, 1 x 7 = 7. Question 11. 6 ? 7 ----- _______ Answer: 42 Explanation: Use multipliers to find the answer of 6 x 7. First, multiply 3 x 7 = 21. Then, multiply the value to 3 x 7. 21 + 21 = 42. The answer for 6 x 7 is 42. Question 12. 7 ? 4 ----_______ Answer: 28 Explanation: Write 7 x 4 as 4 x 7 in accordance with the multiplication rule. Now, double for 4 x 7. You can multiply 2?7 to get 4?7. Multiply 7 with 2. You'll get 14. Then, multiply the product to get the answer 4?7. You will get 14 +14 = 28. So, you get the final answer as 28. Question 13. 2 ? 7 ----- _______ Answer: 14 Explanation: The given multiplication is 2?7. The answer to any double number with 2 is twice that number. So, 2?7 can be found by doing 7+7. The answer is 7+7 = 14. Therefore, the final answer is 2?7 = 14. Question 14. 10 ? 7 ---- _________ Answer: 70 Explanation: A multiple of 10 is any product that has 10 as one of its causes. So, the multiplication of each number with 10 is 10 of a certain number. The answer is 70. Question 15. 3 ? 7 ----- _________ Explanation 21: Skip count by 3's until you say 7 numbers. Write like 3, 6, 9, 12, 15, 18, 21. The answer for 3 x 7 is 21. Question 16. 7 ? 9 ---- _______ Answer: 63 Explanation: Use the Distribution property to find the value of 7 x 9. If we take 7 rows and 9 columns of an array, we can divide the array into two smaller arrays with the facts of 9. Now, write down 7 x 9 as 7 x (6 + 3). Multiply the facts with the 7th. Then, you get (7 x 6) + (7 x 3). Therefore, you get the answer as 42 + 21 = 63. Question 17. 8 ? 7 ----- ______ Answer: 56 Explanation: Divided Property: The Distribution property indicates that multiplying a sum by the same number as multiplying each appendix by a number and then adding the products. Therefore, of the given options, c. 8 x 7 = (4 + 4) x 7 = (4 x 7) + (4 x 7) = 28 + 28 = 56 is the correct answer. Question 18. 7 ? 0---- _________ Answer: 0 Explanation: Multiplication of each number with 0 is 0. So, the answer for 7 x 0 is 0. Problem solving question 19. Julie buys a pair of earrings for $7. Now she wants to buy the same earrings for two of her friends. How much will she spend on all three pairs of earrings? $________ Answer: $21 Explanation: From the given information, Julie buys a pair of earrings for $7. She also wants to buy two more pairs of earrings for her 2 friends. So, all in all, she only needs three pairs of earrings. To know the total amount she's going to spend on earrings, we need to double the total number of pair earrings with a cost for each earring. So, we can make 3 x $7 = $21. Julie has to spend $21 to buy three pairs of earrings. Question 20. Owen and his family will be camping in eight weeks. There's seven days in one week. How many days are there in eight weeks? __________ Answer days: 56 days Explanation: Given that Evan and his family will go camping in 8 weeks. There's seven days in one week. Therefore, to calculate the total number of days in 8 weeks, multiply 8 x 7 = 56. There's 56 days in eight weeks. Multiply with 7 pages for lesson checking number 220 question 1. Find the product. 7 ? 8 ---- Options: a. 54 b. 56 c. 64 d. 66 Answer: b. 56 Explanation: Dividing Property: The Division property states that multiplying an amount by the same number multiplied by each appendix by number and then adding the products. So, from the given options, c. 7 ? 8 = (7 ? 4) + (7 ? 4) = 28 + 28 = 56. Question 2. What product does the array display? Options: a. 14 b. 17 c. 21 d. 24 Answer: C. 21 Explanation: The given array has 7 columns and 3 rows. Simplify the answer with a dividing feature. Now, break the array rows to create two smaller arrays with facts 1 and 2. To get the answer, we need to write 3 x 7. By performing smaller arrays, you can write it as (1 + 2) x 7. Multiply each appendix by 8. The equation becomes (1 x 7) +(2 x 7). Now simplify and add them to get the final answer. 7 + 14 = 21. Spiral Review Question 3. What is the correct statement about the numbers below? 6, 12, 18, 24, 30 Options: A. All odd numbers. B. Some of them The numbers are odd. C. All numbers are equal. D. Some numbers are equal. Answer: C. 21 Explanation: All given numbers are divided by 2. So the answer is that all the numbers are even question 4. How many more people chose a retriever than a poodle? Options: a. 31 b. 39 c. 41 d. 49 Answer: B. 39 Explanation: To know more people have chosen a retriever than a poodle, we need to subtract a mertriver to a poodle. So, 65-26 = 39. 39 more people chose a retriever than a poodle. Question 5. What's a rounded 94 for the nearest 10? Options: A. 90 B. 94B 95 D. 100 Answer: A. 90 Explanation: 94 is between 90 and 100. 94 is closer to 90 than 100. 94 rounded to the nearest ten is 90. Question 6. Jack has five craft sticks. He needs four times that number for the project. How many craft sticks does Jack need altogether? Options: a. 9 b. 16 c. 20 d. 24 Answer: C . He needs four times that number for the project. To find the total number of craft sticks jack makes totally need are 5 x 4 = 20. 20 craft sticks should be for Jack. Checkpoint page of chapter 221 Vocabulary Select the best term from the box to complete the sentence. Question 1. ___________ of 4 is each product with 4 as one of its causes. __________ Answer: Commutative property of multiplication question 2. This is an example of ___________ . 3 ? 8 = (3 ? 6) + (3 ? 2) This property states that multiplying an amount by the same number multiplies each appendix by number and then adding the products. _________ Answer: A divisional property of multiplication concepts and skills write one way to unpassems the array. Then find the product. Question 3. _________ Answer: 7 x 5 = 35 Explanation: The array provided includes 7 columns and 5 rows. Let's simplify the answer with a divisive feature. Now, break the array rows to create two smaller arrays with facts 2 and 3. Now, make 7 x 5. By performing smaller arrays, you can write it as 7 x (2 + 3). Multiply 7 with 2 and 7 with 3. Write (7 x 2) + (7 x 3). Now add them to get the final answer. 14 + 21 = 35. Question 4. _________ Answer: 9 x 4 = 36 Explanation: The given array has 9 columns and 4 rows. Now, do a 9 x 4. Using the Dividing property breaks the lines of the array to create two smaller arrays with 4 facts 2 and 2. Now, add 9 x (2 + 2). Multiply 9 with 2 and 9 with 2. Write (9 x 2) + (9 x 2). Now add them to get the final answer. 18 + 18 = 36. Find the product. Question 5. 3 ? 1 = ________ Answer: 3 Explanation: Using the Doubling Act, write 3 x 1 = 1 x 3. Doubling each number by 1 is the same number. So, 1 x 3 = 3. Question 6. 5 ? 6 = _________ Answer: 30 Explanation: Skip count by 5 of 6 times. You can write as 5, 10, 15, 20, 25, 30. The answer for 5 x 6 is 30. Question 7. ________ = 7 ? 7 Answer: 49 Explanation: Use the Divide property to get the answer. Given 7 x 7. Write down the facts for 7. 7 = 4 + 3. Now, write 7 x 7 = 7 x (4 + 3). Multiply 7 with 4 and 7 with 3. (7 x 4) (7 x 3) = 28 + 21 = 49. Question 8. 2 ? 10 = ____________ Answer: 20 Explanation: Multiply 10 to get the answer for 2 x 10. So, now write 10 + 10 = 20. The answer for 2 x 10 = 20. Question 9. 2 ? 1 ---- _________ Answer: 2 Explanation: Add 1 + 1 to get 2 x 1. 1 + 1 = 2. Answer for 2 x 1 = 2. Question 10. 6 ? 6 ---- _______ Answer: 36 Explanation: Use multipliers to get 6 x 6. First, multiply 3 x 6 = 18. Then, multiply the value to 3 x 6. 18 + 18 = 36. The answer for 6 x 6 is 36. Question 11. 8 ? 7 ----- _____ Answer: 56 Explanation: Use the Dividing property to find 8 x 7 = (4 + 4) x 7 = (4 x 7) + (4 x 7) = 28 + 28 = 56 is the correct answer. Question 12. 6 ? 0---- ________ Answer: 0 Explanation: Multiplication of each number with 0 is 0. So, the answer for 10 x 0 is 0. Question 13. 3 ? 8 ----- _______ Answer: 24 Explanation: Skip-Count by 3 of 8 times. You can write as 3, 6, 9, 12, 15, 18, 21, 24. The answer for 3 x 8 is 24. Checkpoint in the middle of chapter 222 question 14. Laurie saw six lightning ins creaks. They each had six legs. How many legs did the lightning squeaks have in total? __________ Feet Answer: 36 Explanation: Given that Laurie saw 6 lightning ins. Each lightning bug had six legs. To find the total number of feet, follow 6 x 6 = 36. Insects have 36 in total. Question 15. Zach walked his dog twice a day for seven days. Moira accompanied her dog three times a day for five days. Whose dog has walked more times? How many more? Type below: __________ Answer: Moira's dog walked more than Zach's dog. He went once more than Zach's dog. Explanation: Zach traveled with his dog twice a day for 7 days. So, Dog Zach went 7 x 2 = 14 times in total. Moira accompanied her dog three times a day for five days. Dog Moira went 3 x 5 = 15 days. So, Moira's dog walked more times than Dog Zach. He went once more than Zach's dog. Question 16. Annette buys four boxes of pencils. There's eight pencils in each box. Jordan buys three pencil boxes with 10 pencils in each box. Who buys more pencils? How many more? Type below: ___________ Answer: Ant has more pencils than Jordan. He's got two pencils more than Jordan. Explanation: Annette buys 4 pencil boxes. Each box has eight pencils. So, Annette has 4 x 8 = 32 pencils. Jordan buys three pencil boxes with 10 pencils in each box. So, it has 3 x 10 = 30 pencils. Ant has two pencils more than Jordan. Question 17. Mine can draw four pictures a day. How many pictures can she draw in seven days? __________ Pictures Reply: 28 Explanation: Mine can draw 4 pictures a day. In 7 days, it can draw 7 x 4 = 28 images. Associative property of multiplication page 227 Write another way to group the factors. Then find the product. Question 1. (3 ? 2) ? 5 3 ? (2 ? 5) 30 Answer: 30 Explanation: Using an associative characteristic of multiplication, we can write (3 ? 2) ? 5 = 3 ? (2 ? 5). Find (3 ? 2) ? 5. Multiply 3 x 2 = 6. Then, multiply 6 x 5 = 30. Find 3 x (2 x 5). Multiply 2 x 5 = 10. Then, multiply 3 x 10 = 30. So, (3 ? 2) ? 5 = 3 ? (2) 5). The product value is 30. Question 2. (4 ? 3) ? 2 = ________ Answer: (4 ? 3) ? 2 = 4 x (3 x 2) 24 Explanation: Use the Associative Multiplication property to write down the factors in another group. (4 ? 3) ? 2 = 4 x (3 x 2). Now, multiply 4 x 3 = 12. Then, multiply 12 x 2 = 24. So, (4 ? 3) ? 2 = 24. Question 3. 2 ? (2 ? 8) = _________ Answer: 2 ? (2 ? 8) = (2 x 2) x 8 32 Explanation: with an associative multiplication property, 2 ? (2 ? 8) = (2 x 2) x 8. Now, multiply 2 x 8 = 16. Then, multiply 16 x 2 = 32. So, 2 ? (2 ? 8) = 32. Question 4. 9 ? (2 ? 1) = __________ Answer: 9 ? (2 ? 1) = (9 ? 2) ? 1 18 Explanation: Use associative multiplication property, We can write 9 ? (2 ? 1) = (9 ? 2) ? 1. Now, multiply 2 x 1 = 2. Then, multiply 2 x 9 = 18. So, 9 ? (2 ? 1) = 18. Question 5. 2 ? (3 ? 6) = _________ Answer: 2 ? (3 ? 6) = (2 x 3) x 6 36 Explanation: Using an associative multiplication feature, we can write 2 ? (3 ? 6) = (2 x 3) x 6. Now, multiply 2 x 3 = 6. Then, multiply 6 x 6 = 36. So, 2 ? (3 ? 6) = 36. Question 6. (4 ? 2) ? 5 = ________ Answer: (4 ? 2) ? 5 = 4 x (2 x 5) 40 Explanation: Use the Associative Multiplication property, to write (4 ? 2) ? 5 = 4 x (2 x 5). Now, multiply 2 x 5 = 10. Then, multiply 4 x 10 = 40. So, (4 ? 2) ? 5 = 40. Use parentheses and multiplication properties. Then, find the product. Question 7. 9 ? 1 ? 5 (9 ? 1) ? 5 = ________ Answer: (9 ? 1) ? 5 = 9 x (1 x 5) Explanation: Use multiplication associative property. ( 9 ? 1 ) ? 5 = 9 x (1 x 5). Now, multiply 9 x 1 = 9. Then, multiply 9 x 5 = 45. So, (9 ? 1) ? 5 = 45. Question 8. 3 ? 3 ? 2 (3 ? 3) ? 2 = _____ Answer: (3 ? 3) ? 2 = 18 Explanation: Use the Associative Property of Multiplication. ( 3 ? 3 ) ? 2 = 3 x (3 x 2). Now, multiply 3 x 3 = 9. Then, multiply 9 x 2 = 18. So, (3 ? 3) ? 2 = 18. Question 9. 2 ? 4 ? 3 (2 ? 4) ? 3 = _______ Answer: (2 ? 4) ? 3 = 2 x (4 x 3) Explanation: Use now the Associative Multiplication property. ( 2 ? 4 ) ? 3 = 2 x (4 x 3). Now, multiply 2 x 4 = 8. Then, multiply 8 x 3 = 24. So, (2 ? 4) ? 3 = 24. Question 10. 5 ? 2 ? 3 (5 ? 2) ? 3 = ______ Answer: (5 ? 2) ? 3 = 5 x (2 x 3) 30 Explanation: Use the Associative Multiplication property. ( 5 ? 2 ) ? 3 = 5 x (2 x 3). Now, multiply 5 x 2 = 10. Then, multiply 10 x 3 = 30. So, (5 ? 2) ? 3 = 30. Question 11. 7 ? 1 ? 5 (7 ? 1) ? 5 = ________ Answer: (7 ?1) ? 5 = 7 x (1 x 5) 35 Explanation: Use the Associative Multiplication property. ( 7 ? 1 ) ? 5 = 7 x (1 x 5). Now, multiply 7 x 1 = 7. Then, multiply 7 x 5 = 35. So, (7 ? 1) ? 5 = 35. Question 12. 8 ? 2 ? 3 (8 ? 2) ? 3 = _______ Answer: (8 ? 2) ? 3 = 8 x (2 x 3) Explanation: Use the Associative Multiplication property. ( 8 ? 2 ) ? 3 = 8 x (2 x 3). Now, multiply 8 x 2 = 16. Then, multiply 16 x 3 = 48. So, (8 ? 2) ? 3 = 48. Question 13. 7 ? 2 ? 3 (7 ? 2) ? 3 = ________ Answer: (7 ? 2) ? 3 = 7 x (2 x 3) Explanation: Use the Associative Multiplication property. ( 7 ? 2 ) ? 3 = 7 x (2 x) Now, multiply 2 x 3 = 6. Then, multiply 7 x 6 = 42. So, (7 ? 2) ? 3 = 42. Question 14. 4 ? 1 ? 3 (4 ? 1) ? 3 = ________ Answer: 12 Explanation: Use the Associative Property of Multiplication. ( 4 ? 1 ) ? 3 = 4 x (1 x 3). Now, multiply 4 x 1 = 4. Then, multiply 4 x 3 = 12. So, (4 ? 1) ? 3 = 12. Question 15. 10 ? 2 ? 4 (10 ? 2) ? 4 = _______ Answer: 80 Explanation: Use the Associative Multiplication property. ( 10 ? 2 ) ? 4 = 10 x (2 x 4). Now, multiply 2 x 4 = 8. Then, multiply 10 x 8 = 80. So, (10 ? 2) ? 4 = 80. Troubleshoot question 16. Beth and Maria are going to the county fair. Admission costs $4 per person for each day. They plan to go for 3 days. How much are the girls going to pay in total? $ _________ Answer: $24 Explanation: Out of the given information, a county fair entry costs $4 per person for each day. To walk for 3 days, it costs, 3 x $4 = $12. Beth and Maria are going to the county fair. So, two friends are going to the county fair. The total amount is 2 x $12 = $24. Question 17. Randy's garden has 3 rows of

carrots with 3 plants in each row. Next year, he plans to plant four times the number of rows of three plants. How many plants will he have next year? __________ Plants Answer: 36 Explanation: Of the given information, Randy's garden has 3 rows of carrots with 3 plants per row. So, 3 x 3 = 9. Plant four times the number of rows of 3 plants, 9 x 4 = 36. 36 plants will have to plant near Randy's garden next year. Associative characteristic of checking page multiplication rate 228 question 1. There are 2 benches in each train carriage. Two people riding on every bench. If the train has five carriages, how many people in total can there be on the train? Options: A. 4B 9 c. 10 d. 20 Answer: D. 20 Explanation: Considering that there are 2 benches in each train carriage. If the train has 5 carriages in total, the number of benches = 5 x 2 = 10. From the given information, two people ride on every bench. Therefore, 10 x 2 = 20 people will take the train if the train has 5 carriages. Question 2. Crystal has two CDs in each box. She's got three boxes on each of her six shelves. How many CDs does crystal have in total? Options: A. 6 B. 12 C. 18 D. 36 Answer: D. 36 Explanation: Crystal has 3 boxes on each of its 6 shelves. So, she has 3 x 6 = 18 boxes with her. Each box has 2 CDs. So, 2 x 18 = 36 CDs are available in the crystal. Spiral Review Question 3. Find the amount. 4 7 2 + 1 8 6 ?- Options: a. 658 b. 648 approx. 558 D. 286 Answer: 30 Explanation: Add these. Add 2 + 6 =8. Then, add the dozens. Regroup hundreds and dozens. Add 7 + 8 = 15. Remember to carry over. Add hundreds. Add 4 + 1 + 1 = 6. Place one, ten and hundreds to get the amount. The amount is 658. Question 4. Trevor made a graph of photos to show how many minutes each student rode a bike last week. That's his key. Every = 10 minutes. What does represent? Options: A. 2 minutes b. 10 minutes about 20 minutes D. 25 minutes Answer: D. 25 minutes Explanation: Given = 10 minutes. So, half sign = 5 minutes. Therefore, = 10 + 10 + 5 = 25 Question 5. Madison has 142 stickers in her collection. What's 142 circled for the nearest 10? Options: A. 40 B. 140 approx. 150 D. 200 Answer: B. 140 Explanation: 142 lies between 140 and 150. But the 142 is closer to 140 than 150. So, 142 rounded to 140. Question 6. There's five pages of pictures. Each page has 6 pictures. How many pictures are there in total? Options: A. 12B 20B 24 Wed 30 Answer: D. 30 Explanation: Considering there are 5 pages of photos. Also, each page has 6 pictures. Total images = 5 x 6 = 30. Templates on multiplication table page 233 Is the product equal or odd? Write even or weird. Question 1. 2 ? 7 = even think: products with 2 as an equal factor. Answer: Even explanation: products with 2 as an equal factor. Question 2. 4 ? 6 = ________ Answer: Even explanation: the numbers end with 0, 2, 4, 6, 8 are even numbers. So, 24 is even a number. The 4th ? in doubles. Question 3. 8 ? 3 = ________ Answer: Even an explanation: 8 is an even number. 3 is an odd number. The product of an odd number and an even number is even. The answer is equal. Question 4. 2 ? 3 = ___________ Answer: Even explanation: products with 2 as equal factor. Question 5. 9 ? 9 = ________ Answer: Odd callout: 9 is an odd number. The product of two odd numbers is an odd number. The answer is strange. Question 6. 5 ? 7 = _________ Answer: Odd explanation: The numbers end with 1,3, 5, 7, 9 are odd numbers. So, 35 is an odd number. 5 ? 7 odd number. Question 7. 6 ? 3 = ________ Answer: Even an explanation: 6 is an even number. 3 is an odd number. The product of an odd number and an even number is even. The answer is equal. Use the multiplication table. Describe a pattern that you see. Question 8. In the column for 5 ____________ Answer: The digits repeat 0 and 5. Each number is 5 more than the number above it. Explanation: Any additional number with 5. The digit repeats itself with 0 and 5. Question 9. In line for 10 __________ Reply: Add 10. All products are equal. The digit of the one is always 0. Explanation: All products are equal. Also, the digit of one is always 0. Add 10 for each product to get the next number to it. Question 10. In rows for 3 and 6 Type below: ____________ Answer: The products of 6 are deliverables of 3 multiplied. Explanation: Add 3 to row 3. The products of 6 are the products of 3 doubled. Question 11. Carl shades a row in the multiplication table. The products in the row are equal. The digits in the products are repeated 0, 4, 8, 2, 6. What line is Carl shadowing? Karl shades a row for ___________ Answer: The row for 4. Explanation: From the data data, the answer is row 4. Question 12. Jenna says that no row or column contains products with odd numbers only. Do you agree? Explain. _________ Answer: Yes, either the products are equal, or there is an odd and even format. Explanation: Jenna said right. Either the products are equal, or there's an odd and even pattern. Multiplication templates Lesson Check Page 234 Question 1. Which one has a double product? Options: A. 1 ? 9B 3 ? 5 ? 7 D 4 ? 9 Answer: D. 4 ? 9 Explanation: The product of an odd number and an even number is even. The answer is 4 ? 9. Question 2. What describes this pattern? 10, 15, 20, 25, 30 Options: A. Even then weird B. Add 10. C. Subtraction 5. D. Multiply by 5. Answer: A. Even then a strange explanation: the given pattern is the combination of parity and added. Lexi has two cans of tennis balls. There are 3 tennis balls in each can. She's buying two more cans. How many tennis balls does she have now in total? Options: a. 12 b. 9 c. 7 d. 6 Answer: a. 12 Explanation: Lexi has 2 cans of tennis balls. There are 3 tennis balls in each can. So, she's got 2 x 3 = 6 pills. She's buying two more cans. So, again 2 cans with 3 tennis balls = 2 x 3 =6. Total = 6 + 6 = 12. She'll have 12 tennis balls with her. Question 4. Use the image graph. How many students have green eyes? Options: A. 4 B. 8 C. 12 D. 16 Answer: D. 16 Explanation: From the given picture, green eyes have 4 circles. Each circle =4. 4 x 4 = 16. Sixteen students have green eyes. Question 5. Sasha bought three pencil boxes. If each box has six pencils, how many pencils did Sasha buy in total? Options: A. 9 B. 12 C. 18 D. 24 Answer: B. 12 Explanation: Sasha bought 3 pencil boxes. If each box has 6 pencils, 3 x 6 = 12 pencils Sasha can buy in total. Question 6. Find the amount. 2 1 9 + 7 6 3 ------ ? Options: A. 992 B. 982 C. 976 D. 972 Answer: B. 982 Explanation: Break the additions from the given values. Start with hundreds. Then, add any space value. Let's write 219 as 200+10+9 and 763 as 700+60+3. Summarize the two values above. Then you get 900+70+12. Add these and then add the 10 and 100's. The final answer is 982. Multiply with 8 pages number 239 find the product. Question 1. 8 ? 10 = 80 Answer: 80 Explanation: 8 ? 10 = (2 x 4) x 10 Use the associative property. 8 ? 10 = 2 x (4 x 10) multiplication. 4 ? 10 8 ? 10 = 2 x 40 multiply the product. 8 ? 10 = 40 + 40 8 ? 10 = 80 question 2. 8 ? 8 = _________ Answer: 64 Explanation: Factor 8 is an even number. 4+ 4 8 x 4 = 32. 32 double is 64. 8 x 8 = 64. Question 3. 8 ? 5 = _______ Answer: 40 Explanation: 8 ? 5 = (2 x 4) x 5 Use the associative property. 8 ? 5 = 2 x (4 x 5) multiplication. 4 ? 5 8 ? 5 = 2 x 20 multiply the product. 8 ? 5 = 20 + 20 8 ? 5 = 40 question 4. 3 ? 8 = ________ Answer: 24 Explanation: Factor 8 is an even number. 4+ 4 3 x 4 = 12. 12 double is 24. 3 x 8 = 24. Question 5. _______ = 4 ? 8 Answer: 32 Explanation: Factor 8 is an even number. 4+ 4 4 x 4 = 16. Sixteen times is 32. 4 x 8 = 32. Question 6. 8 ? 7 = _______ Answer: 56 Explanation: 8 ? 7 = (2 x 4) x 7 Use the associative property. 8 ? 7 = 2 x (4 x 7) multiplication. 4 ? 7 8 ? 7 = 2 x 28 multiply the product. 8 ? 7 = 28 + 28 8 ? 7 = 56. Question 7. 6 ? 8 = __________ Answer: 48 Explanation: Factor 8 is an even number. 4+ 4 6 x 4 = 24. 24 double is 48. 6 x 8 = 48. Question 8. _______ = 9 ? 8 answer: Explanation: Factor 8 is an even number. 4+ 4 9 x 4 = 36. 36 double is 72. 9 x 8 = 72. Question 9. 8 ? 2 ---- ________ Answer: 16 Explanation: Use the Multiplication Law, 2 x 8 = 8 x 2. Factor 8 is an even number. 4+ 4 2 x 4 = 8. Eight doubles is 16. 2 x 8 = 16. So, 8 x 2 =16. Question 10. 6 ? 8 ----- ________ Answer: 48 Explanation: Factor 8 is an even number. 4+ 4 6 x 4 = 24. 24 double is 48. 6 x 8 = 48. Question 11. 8 ? 7---- _________ Answer: 56 Explanation: Use of Doubling Law, 8 x 7 = 7 x 8. Factor 8 is an even number. 4+ 4 7 x 4 = 28. 28 double is 56. 7 x 8 = 56. Question 12. 0 ? 8 ----- __________ Answer: 0 Explanation: Multiplication of each number with 0 is 0. So, the answer for 0 x 8 is 0. Question 13. 8 ? 5 ---- ______ Answer: 40 Explanation: 8 ? 5 = (2 x 4) x 5 Use the associative property. 8 ? 5 = 2 x (4 x 5) multiplication. 4 ? 5 8 ? 5 = 2 x 20 multiply the product. 8 ? 5 = 20 + 20 8 ? 5 = 40. Question 14. 8 ? 8 ----? _____ Answer: 64 Explanation: Factor 8 is an even number. 4+ 4 8 x 4 = 32. 32 double is 64. 8 x 8 = 64. Question 15. 9 ? 8 ----- _______ Answer: 72 Explanation: Factor 8 is an even number. 4+ 4 9 x 4 = 36. 36 double is 72. 9 x 8 = 72. Question 16. 8 ? 3 ---- ________ Answer: 24 Explanation: 8 ? 3 = (2 x 4) x 3 Use the associative property. 8 ? 3 = 2 x (4 x 3) multiplication. 4 ? 3 8 ? 3 = 2 x 12 multiply the product. 8 ? 3 = 12 + 12 8 ? 3 = 24. Question 17. 8 ? 1 ---- _________ Answer: 8 Explanation: Multiplication of each number with 1 is the same number. So, 1 x 8 = 8. Question 18. 4 ? 8 ---- _______ Answer: 32 Explanation: Factor 8 is an even number. 4+ 4 4 x 4 = 16. Sixteen times is 32. 4 x 8 = 32. Problem solving question 19. There are six teams in the BASKETBALL league. Each team has eight players. How many players are there in total? __________ Players Answer: 48 Explanation: Multiply 6 x 8 to get the total number of players. 6 x 8 = 48 players are in the Basketball League. Question 20. Lynn has four stacks of coins. There's eight quarters in each pile. How many coins does Lynn have in total? _______ Quarters Answer: 32 Explanation: Multiply 4 x 8 to find quarters in stacks. Lynn has 4 x 8 = 32 quarters in total. Question 21. Thomas packs seven baskets for the fair. He puts eight apples in each basket. How many apples are there in total? ________ Apples Answer: 56 Explanation: Multiply 7 x 8 to get the total number of apples. Thomas has 7 x 8 = 56 apples. Question 22. There's 10 pencils in every box. If Jenna buys eight boxes, how many pencils will she buy? _______ Pencils Answer: 80 Explanation: To get total pencils, if Jenna buys 8 boxes, multiply to 10 x 8. So, Jenna buys 10 x 8 = 80 pencils. Multiply with 8 pages for lesson checking number 240 question 1. Find the product. 5 ? 8 = Options: a. 30 b. 32 c. 42 d. 40 Answer: D. 40 Explanation: Using a commutative property of multiplication, write 5 x 8 = 8 x 5 8 ? 5 = (2 x 4) x 5 Use an associative property. 8 ? 5 = 2 x (4 x 5) multiplication. 4 ? 5 ? 5 = 2 x 20 multiply the product. 8 ? 5 = 20 + 20 8 ? 5 = 40 question 2. There are 7 tarantulas at the zoo's spider exhibit. Every tarantula has eight legs. How many legs do the seven tarantants have in total? Options: a. 15 b. 49 c. 56 d. 63 Answer: C. 56 Explanation: Multiply 7 x 8 to find the 7 tarantula feet. 7 tarantulas have 7 x 8 = 56 feet. Spiral Review Question 3. Find the difference. 6 5 2 - 9 9 ------: A. 99B 552 C. 553 D. 653 Answer: C. 553 Explanation: Reduce these. 2<9. So regroup these 5 dozen 2 = 4 dozen 3 ones. Now, do 12-9 = 3. Then, reduce the dozens. 4 < 9. So, regroup 600 5 scores = 500 5 dozen. 14 ? 9 = 5. Reduce the hundreds and add them to check the answer. 5 ? 0 = 5. The final answer is 553. Question 4. The school library received an invitation of 232 new books. What is 232 rounded to the nearest ten? Options: A. 200 B. 230 approx. 240 D. 300 Answer: B. 230 Explanation: 232 lies between 230 and 240. But the 232 is closer to 230 than 240. So, 232 rounded to 230. Question 5. Sam's photo graph shows that 8 students chose pizza as their favorite lunch. That's the key to the graph. Each a smile = 2 students. How many smiles have to be next to a pizza in Sam's graph? Options: A. 2 B. 4 C. 6 d. 8 Answer: B. 4 Explanation: Given 1 smile = 2 students. 2 smiles = 4 students 3 smiles = 6 students 4 smiles = 8 students 4 smiles are required for sam for her next pizza on the graph. Question 6. Tasia buys five packs of oranges. Each package has four oranges. How many oranges in total is Tasia buying? Options: a. 1 b. 9 c. 20 d. 25 Answer: D. 25 Explanation: Know the total number of oranges, multiply 5 x 5. Tasia buys 5 x 5 = 25 oranges. Multiply with 9 pages number 245 find the product. Question 1. 10 ? 9 = 90 Answer: 90 Explanation: Tens of digits are 1 less than the multiplied factor by 9. So, the number of digits of ten is 10 ? 1 = 9. The sum of the digits in the product is always 9. So, to multiply 10 ? 9, think dozens of digits is 9 and the digit of one is 0. The product is 90. Question 2. 2 ? 9 = _______ Answer: 18 Explanation: 9 = 3 + 6 2 ? 9 = 2 x (3 + 6) Multiply each appendix by 2. 2 ? 9 = (2 ? 3) + (2 ? 6) Add the products. 2 ? 9 = 6 + 12 2 ? 9 = 18. Question 3. 9 ? 4 = ________ Answer: 36 Explanation: 9 = 3 + 6 9 ? 4 = (3 + 6) x 4 Multiply each appendix by 4. 9 ? 4 = (3 x 4) + (6 x 4) Add the products. 9 ? 4 = 12 + 24 9 ? 4 = 36. Question 4. 0 ? 9 = _______ Answer: 0 Explanation: Multiplication of each number with 0 is 0. So, the answer for 0 x 9 is 0. Question 5. 1 ? 9 = __________ Answer: 9 Explanation: Multiplication of each number with 1 is the same number. So, 1 x 9 = 9. Question 6. 8 ? 9 = __________ Answer: 72 Explanation: 9 = 3 + 6 8 ? 9 = 8 x (3 + 6) Multiply each appendix by 8. 8 ? 9 = (8 ? 3) + (8 ? 6) Add the products. 8 ? 9 = 24 + 48 8 ? 9 = 72. Question 7. 9 ? 5 = _______ Answer: 45 Explanation: 9 = 3 + 6 9 ? 5 = (3 + 6) x 5 Multiply each appendix by 5. 9 ? 5 = (3 x 5) + (6 x 5) Add the products. 9 ? 5 = + 30 9 ? 5 = 45. Question 8. 6 ? 9 = _______ Answer: 54 Explanation: 9 = 3 + 6 6 ? 9 = 6 x (3 + 6) Multiply each appendix by 6. 6 ? 9 = (6 ? 3) + (6 ? 6) Add the products. 6 ? 9 = 18 + 36 6 ? 9 = 54. Question 9. 9 ? 4 ---- ________ Answer: 36 Explanation: 9 = 3 + 6 9 ? 4 = (3 + 6) x 4 Multiply each appendix by 4. 9 ? 4 = (3 x 4) + (6 x 4) Add the products. 9 ? 4 = 12 + 24 9 ? 4 = 36. Question 10. 5 ? 9 ---- ________ Answer: 45 Explanation: 9 = 3 + 6 5 ? 9 = 5 x (3 + 6) Multiply each appendix by 5. 5 ? 9 = (5 ? 3) + (5 ? 6) Add the products. 5 ? 9 = 15 + 30 5 ? 9 = 45. Question 11. 9 ? 7 ---- ________ Answer: 63 Explanation: 9 = 3 + 6 9 ? 7 = (3 + 6) x 7 Multiply each appendix by 7. 9 ? 7 = (3 x 7) + (6 x 7) Add the products. 9 ? 7 = 21 + 42 9 ? 7 = 63. Question 12. 2 ? 9 ---- ________ Answer: 18 Explanation: 9 = 3 + 6 2 ? 9 = 2 x (3 + 6) Multiply each appendix by 2. 2 ? 9 = (2 ? 3) + (2 ? 6) Add the products. 2 ? 9 = 6 + 12 2 ? 9 = 18. Question 13. 9 ? 9 ---- ________ Answer: 81 Explanation: The tenth digit is 1 less than the factor multiplied by 9. So, the number of digits of ten is 9 ? 1 = 8. The sum of the digits in the product is always 9. Therefore, add 1 to 8 to get one digit 1 + 8 = 9. The product is 81. Question 14. 10 ? 9 ---- __________ Answer: 90 Explanation: The tenth digit is 1 less than the factor multiplied by 9. So, the number of digits of ten is 10 ? 1 = 9. The sum of the digits in the product is always 9. So, to multiply 10 ? 9, think dozens of digits is 9 and the digit of one is 0. The product is 90. Question 15. 3 ? 9 ---- ________ Answer: 27 Explanation: 9 = 3 + 6 3 ? 9 = 3 x (3 + 6) Multiply each appendix by 3. 3 ? 9 = (3 ? 3) + (3 ? 6) Add the products. 3 ? 9 = 9 + 18 3 ? 9 = 27. Question 16. 9 ? 8 ---- ________ Answer: 72 Explanation: 9 = 3 + 6 8 ? 9 = 8 x (3 + 6) Multiply each appendix by 8. 8 ? 9 = (8 ? 3) + (8 ? 6) Add the products. 8 ? 9 = 24 + 48 8 ? 9 = 72. Question 17. 6 ? 9 ---- ________ Answer: 54 Explanation: 9 = 3 + 6 6 ? 9 = 6 x (3 + 6) Multiply each appendix by 6. 6 ? 9 = (6 ? 3) + (6 ? 6) Add the products. 6 ? 9 = 18 + 36 6 ? 9 = 54. Question 18. 9 ? 1 ------ ________ Answer: 9 Explanation: Multiplication of each number with 1 is the same number. So, 1 x 9 = 9. Problem solving question 19. There are nine positions on the softball team. Three people are trying to find every job. How many people are just trying? ________ People answer: 27 Explanation: To find the total number of people trying to get a job in the softball group, multiply 9 x 3. 9 x 3 = 27 people try for softball team position. Question 20. Carlos bought a book for $9. Now he wants to buy four more books for the same price. How much will he have to pay in all four other books? $_________ Answer: $36 Explanation: Carlos bought a book for $9. Now he wants to buy four more books for the same price. So, to get all 4 books, he has to pay 4 x $9 = $36. Multiply with 9 pages for lesson checking number 246 question 1. Find the product. 7 ? 9 = Options: a. 63 b. C. 45 D. 36 Answer: A. 63 Explanation: 9 = 3 + 6 9 ? 7 = (3 + 6) x 7 Multiply each appendix by 7. 9 ? 7 = (3 x 7) + (6 x 7) Add the products. 9 ? 7 = 21 + 42 9 ? 7 = 63. Question 2. Claire buys five tickets to a high school musical. Each ticket costs $9. How much are the tickets in total? Options: a. $36 b. $40 c. $45 d. $52 Answer: C $ 45 Explanation: Double 5 with $9 to get the total number of tickets. Claire buys 5 tickets for 5 x $9 = $45. Spiral Review Question 3. The table shows the hair color of the girls in Kim's class. How many girls have brown hair? Options: a. 1 b. 3 c. 4 d. 6 Answer: D. 6 Explanation: From the given figure, there are 6 bars available in the number of girls for Brown. So the answer is six. Question 4. Miles collected nine shirts from the dry cleaners. It costs $4 to clean each shirt. How much did Miles spend cleaning all the shirts? Options: a. $13 b. $22 c. $36 d. $45 Answer: C $ 36 Explanation: Miles spend 9 x $4 = $36 to get all nike shirts. Question 5. In a photo graph, each picture of a baseball is equal to five games won by a team. The Falcons have seven baseballs. How many games have the Falcons won? Options: a. 40 b. 35 c. 12 d. 7 Answer: a. 63 Explanation: From given data, 1 baseball = 5 games. The Falcons have seven baseballs. So, the Falcons won 7 x 5 = 35 games. Question 6. An array includes 8 rows with 4 circles per line. How many circuits are in the array? Options: a. 12 b. 24 c. 32 d. 36 Answer: a. 63 Explanation: 8 x 4 = 32 circles are in the array. Multiplication page number 251 is resolved. Question 1. Henry has a new album for his baseball cards. It uses pages that contain 6 cards and pages that contain 3 cards. If Henry has 36 cards, how many different ways can he put them on his album? Henry can put the cards on his album five ways. Answer: 5 ways to explain: Henry can put the cards in 5 ways. They're one. (1 x 6 pages of cards) x (10 x 3 pages of cards) = 6 cards + 30 cards = 36 cards. 2. (2 x 6 pages of cards) x (8 x 3 pages of cards) = 12 cards + 24 cards = 36 cards. 3. (3 x 6 pages of cards) x (6 x 3 pages of cards) = 18 cards + 18 cards = 36 cards. 4. (4 x 6 pages of cards) x (4 x 3 pages of cards) = 24 cards + 12 cards = 36 cards. 5. (5 x 6 pages of cards) x (2 x 3 pages of cards) = 30 cards + 6 cards = 36 cards. Question 2. Mrs. Hernandez has 17 tomato plants she wants to plant in rows. She'll put two plants in a few rows and one factory in the other. How many different ways can she plant the tomato plants? Get a table to solve. Rows with 2 plants ___8__ ___7___ __6___ ___5___ ___4____ ____3_2 _ _____1_ rows with 1 plants _____1___3___ ___5_1__ ___13___ _____15__ Total herbal ____17___ ____ ___ ___17__ ___17____ ___17___17___ Ms. Hernandez can plant the tomato plants ______17_17___ Ms. Hernandez can plant the tomato plants ___17_17__ Ms. Hernandez can plant the tomato plants ______17_17__ Ms. Hernandez can plant the tomato plants ______17_17_ Ms. Hernandez can plant the tomato plants ___17_17__ Ms. Hernandez can plant the tomato plants ______17_17_ Ms. Hernandez can plant the tomato plants ______17_17_ Ms Answer: 8 ways to explain: Ms. Hernandez wants to grow 2 tomoto plants in one row and 1 in another row. The total number of plants should be 17. So, 1. (8 lines x 2 plants) x (1 line x 1plant) = 16 + 1 plant = 17 plants. 2. (7 lines x 2 plants) x (3 lines x 1plant) = 14 plants + 3 plant = 17 plants. 3. (6 lines x 2 plants) x (5 lines x 1plant) = 12 plants + 5 plant = 17 plants. 4. (5 lines x 2 plants) x (7 lines x 1plant) = 10 plants + 7 plant = 17 plants. 5. (4 lines x 2 plants) x (9 lines x 1plant) = 8 plants + 9 plant = 17 plants. 6. (3 lines x 2 plants) x (11 lines x 1plant) = 6 plants + 11 plant = 17 plants. 7. (2 lines x 2 plants) x (13 lines x 1plant) = 4 plants + 13 plant = 17 plants. 8. (1 lines x 2 plants) x (15 lines x 1plant) = 2 plants + 15 plant = 17 plants. Question 3. Bianca has a total of 25 cents. She's got some coins and pennies. How many different combinations of coins and pennies can Bianca have? Get a table to solve. Number of nickels ___1___ ___2___ ____3___ ____4___ Face number ___20___ ___15___ ___10___ ______ _5__ Total value ___25?___ ___25?___ ___25?___ ___25?___ Bianca can be a combination of 25?_ Answer: 4 ways to explain: 1 nickel = 5 pennies. Bianca can have combinations of nickels and pennies to get 25? are 1. 1 nickel + 20 pence = 5 pence + 20 pence = 25 pence = 25? 2. 2 nickels + 15 pence = 10 pence + 15 pence = 25 pence = 25? 3. 3 nickels + 10 pence = 15 pence + 10 pence = 25 pence = 25? 4. 4 nickels + 5 pennies = 20 pennies + 5 pennies = 25 pennies = 25? check page multiplication rate no. 252 question 1. The table shows different ways cameron can display his 12 cars on the shelves. How many shelves will show 2 cars if 8 of the shelves display one car? Options: A. 1 B. 2 C. 3 d. 4 Question 1. Answer: B. 2 Explanation: 1. (shelves with one car x 2) + (shelves with 2 x 5 cars) = 2 cars + 10 cars = 12 cars 2. (shelves with 1 x 4 car) + (shelves with 2 x 4 cars) = 4 cars + 8 cars = 12 cars 3. (shelves with 1 x 6 car) + (shelves with 2 x 3 cars) = 6 cars + 6 cars = 12 cars 4. (shelves with 1 x 8 car) + (shelves with 2 x 2 cars) = 8 cars + 4 cars = 12 cars 5. (shelves with 1 x 10 car) + (shelves with 2 cars x 1) = 10 cars + 2 cars = 12 cars therefore, 2 shelves will show 2 cars if 8 shelves each display 1 car. Spiral Question Review 2. Find the amount. 3 1 7 + 1 5 1 ?- Options: a. 166 b. 268 C. 468 D. 568 Answer: C. 468 Explanation: Add these. Add 7 + 1 =8. Then, add the dozens. Add 1 + 5 = 6. Add hundreds. Add 3 + 1 = 4. Place one, ten and hundreds to get the amount. The amount is 468. Question 3. The school cafeteria has an order for 238 hot lunches. What's a rounded 238 for the nearest 10? Options: A. 300 B. 240 approx. 230 D. 200 Answer: B. 240 Explanation: 238 lies between 230 and 240. But the 238 is closer to 240 than to 230. So, 238 rounded to 240. Question 4. Tyler did a photo graph to show the students' favorite colors. That's the key to his graph. All = 3 votes. If 12 students voted green, how many should be in the green line of the graph? Options: A. 3B 4 c. 9 d. 12 Answer: B. 4 Explanation: Each circle = 3 votes. If 12 Vote green, total votes = 12. Write 12 = 3 + 3 + 3 +3. So, four circles represent 12 votes. Question 5. Each bike shelf has 5 bicycles. There are 6 bike shelves. How many bikes are on the bike racks? Options: a. 11 b. 24 c. 25 d. 30 Answer: D. 30 Explanation: To find the total bike in the bike rack at school, multiply 5 bike x 6 bike racks. 5 x 6 = 30 bikes are available on bike shelves. Review/Test Page #253 Question 1. Mrs. Ruiz has been mingling coils of wire into four boxes. Each box contains 5 coils. How many coils of string does Mrs. Ruiz have? Draw circles to shape the problem. So solve it. _________ Background prints Answer: 20 background prints Explanation: 4 spooler boxes x 5 reels = 20 background prints. Mrs. Ruiz has 20 coils of string. Question 2. For numbers 2a?2d, select True or False for each multiplication statement. A. 2 ? 8 = 16 i. Truth II. False answer: that is a real explanation: double 8. 8 + 8 = 16. So, 2 x 8 = 16. Question 2. B. 5 ? 8 = 40 i. Truth II. False answer: i. Real explanation: skip-count by 5 of 8 times. Write like 5, 10, 15, 20, 25, 30, 35, 40. So, the answer for 5 x 8 is 40. Question 2. C. 6 ? 8 = 56 i. Truth II. False answer: ii. False explanation: Use pairs to find the answer of 6 x 8. First, multiply 3 x 8 = 24. Then, multiply the value to 3 x 8. 24 + 24 = 48. The answer for 6 x 8 is 48. So, 6 ? 8 = 56 is a lie. Question 2. D. 8 ? 8 = 64 i. Truth II. False answer: that is a real explanation: Factor 8 is an even number. 4+ 4 8 x 4 = 32. 32 double is 64. 8 x 8 = 64. Question 3. Bella plans to write in the diary. Some pages will have one journal entry, and other pages will have two journal entries. If Bella wants to do 10 entries, how many different ways can she write them in her diary? ________ Different ways of replying: 4 ways to explain: 1. (1 journal entry x 2) + (2 journal entries x 4) = 2 journals + 8 journals = 10 journals. 2. (one journal entry x 4) + (2 journal entries x 3) = 4 journals + 6 journals = 10 journals. 3. (one journal entry x 6) + (2 journal entries x 2) = 6 journals + 4 journals = 10 journals. 4. (one journal entry x 8) + (2 journal entries x 1) = 8 journals + 2 journals = 10 journals. Bella can use four ways to write diaries. Question 4. There's seven days in one week. How many days are there in four weeks? _______ Answer days: 28 days Explanation: 1 week = 1 x 7 = 7 days. 4 weeks = 4 x 7 = 28 days. Review/Trial Page 254 Question 5. Circle groups to display 3 ? (2 ? 3). Type below: ___________ Answer: 18 Explanation: 3 ? (2 ? 3) = 3 x 6 = 18. Question 6. Dale keeps all his pairs of shoes in his closet. Pick out the number of shoes Dale can have in his closet. Mark everything that applies. Options: A. 3 B. 4 C. 6 d. 7 e. 8 Answer: B. 4 C. 6 e. 8 Explanation: A pair of shoes has 2 in number. So, the possible ways are always equal. Dale could be 4, 6, 8 in his closet. Question 7. Lisa completed the table to describe the product of a mysterious one-digit factor and each number. Part 1 Give everything you can This could be Lisa's mysterious single-digit factor. Type below: __________ Answer: 0, 2, 4, 6, 8 Question 7. Part B explains how you know you've chosen all the right options. Type below: ____________ Answer: Considering the product numbers are equal. The product of an even number with another number is even. So, we need to take the mystery factor as an even number. Review/Trial Page 255 Question 8. Kate drew seven of the labels. The yemeni has eight sides. How many sides did Kate draw? _________ Sides Answer: 56 Explanation: Kate drew 7 labels. The yemeni has eight sides. Kate draw 8 x 7 = 56 sides. Question 9. Jose buys six bags of flour. Each bag weighs 5 pounds. How many pounds of flour did Jose buy? __________ Pound Answer: ?30 Explanation: 6 x 5 = 30. Jose spends 30 quid to buy flour. Question 10. Unband the array to show 8 ? 6 = (4 ? 6) + (4 ? 6). Answer: Explanation: Break the array of 4 columns and 6 rows to get the answer. Question 11. Circle the symbol that makes the multiplication statement true. 9 ? 6 3 ? (3 ? 9) _______ Answer: Explanation <: 9 x 6 = 54 3 x 27 = 81 54 < 81. So, 9 x 6 < 3 x (3 x 9) question 12. Roberto wants to make $2 through dollars, half dollars and quarters. How many different ways can he make $2? ________ Different ways Answer: 18 Explanation: 0.25 - 8 |6 |4 | |4 |2 |2 |0 |0 0.50 - 0 |1 |2 |2 0 | |3 |1 |2 |4 |0 1-0 |0 | |0 |1 |0 | |1 |1 |0 |2 Review/Test Page No. 256 Question 13. Carpenter builds stools that have three legs each. How many legs does the carpenter use to build five stools? Use the array to explain how you know your answer is correct. __________ Feet Answer: 15 legs Explanation: Each stool has 3 legs. To build 5 stools, 5 x 3 = 15 feet. 15 feet should build five stools. Question 14. Etta buys a ribbon and cuts it into seven parts the same length. Each piece is 9 inches long. How long was the movie That Eta bought? _________ Answer inches: 63 inches Explanation: Ribbon length is 7 x 9 inches = 63 inches. Question 15. Antoine and 3 friends divide a few pennies equally among themselves. Each member separates his coins into 3 equal stacks with 5 coins in each stack. Write a multiplication statement that shows the total number of pennies. Type below: _________ Answer: 4 x (5 x 3) Explanation: 5 pennies into 3 equal stacks = 5 x 3 = 15. 15 heaps shared between 4 members = 4 x 15 = 4 x (5 x 3). Question 16. Luke's making four first aid kits. He wants to put 3 large bandages and 4 small ones in each kit. How many bandages does he need for evaluations? Look at your work. _________ Dressings Answer: 28 Dressings Explanation: Luke wants to put 3 large and 4 small bandages in each kit. So, total = 3 + 4 = 7 bandages. He's making four first aid kits. So, 4 x 7 bandages = 28 bandages. Review/Test Page 257 Question 17. For numbers 17a?17d, select True or False for each equation. A. 3 ? 7 = 21 i. Truth II. False answer: i. Real explanation: Skip count by 3 of until you say 7 numbers. 3, 6, 9, 12, 15, 18, So, the answer for 3 x 7 is 21. The answer is correct. Question 17. B. 5 ? 7 = 28 i. Truth II. False answer: ii. False explanation: Skip count by 5 until you say 7 numbers. 5, 10, 15, 20, 25, 30, 35. Now, the count of the number is 7. So, the answer for 5 x 7 is 35. The answer is a lie. Question 17. C. 8 ? 7 = 49 i. Truth II. False answer: ii. False explanation: Use the Distribution property to find 8 x 7 = (4 + 4) x 7 = (4 x 7) + (4 x 7) = 28 + 28 = 56 is the correct answer. The answer is a lie. Question 17. D. 9 ? 7 = 63 i. Truth II. False answer: i. Real explanation: 9 = 3 + 6 9 ? 7 = (3 + 6) x 7 multiply each appendix by 7. 9 ? 7 = (3 x 7) + (6 x 7) Add the products. 9 ? 7 = 21 + 42 9 ? 7 = 63. The answer is correct. Question 18. Circle the number that makes the multiplication statement true. 10 ? = 40 Answer: 4 Explanation: The value of 10 x4 = 40. So the answer is four. Question 19. For numbers 19a-19d, select Yes or No to specify whether the number penalty has the same value as 8 ? 6. A. 8+ (4 ? 2) = I mean yes 2. No answer: ii. No explanation: 8 x 6 = 48. 8 + (4 x 2) = 8 + 8 =16. The answer is no. Question 19. B. (8 ? 4) + (8 ? 2) = i. yes ii. No answer: i. Yes explanation: 8 x 6 = 48. (8 x 4) + (8 x 2) = 32 + 16 = 48. The answer is yes. Question 19. C. (6 ? 4) + (6 ? 2) = i. yes ii. No answer: ii. No explanation: 8 x 6 = 48. (6 ? 4) + (6 ? 2) = 24 + 12 = 36. The answer is no. Question 19. D. 6 ? (4 + 4) = i. yes ii. No answer: i. Yes explanation: 8 x 6 = 48. 6 ? (4 + 4) = 6 x 8 = 48. The answer is yes. Question 20. Chloe bought four tickets to the movie. Each ticket costs $6. What was the total cost of the movie tickets? $ _________ Answer: $24 Explanation: Total cost of movie tickets = 4 x $6 = $24. Question 21. Write a multiplication statement using the following numbers and symbols. Type below: ___________ Answer: 6 x (5 x 2) = 60 Explanation: We can write as 6 x (5 x 2) = 60. Review/Trial Page 258 Question 22. Lewis started a table showing a multiplication pattern. Part A complete the table. Describe a template that you see in products. Type below: __________ Answer: 12, 15, 18, 21, 24, 27, 30. Add 3 to the product to get the following product. Explanation: Add 3 to the product to get the following product. 9+3 = 12. 12 + 3 = 15. 15 + 3 = 18. 18 + 3 = 21. 21 + 3 = 24. 24 + 3 = 27. 27 + 3 = 30. Question 22. Part 2 If you multiply 3 ? 37, will the product be an even number or an odd number? Use the table to explain your logic. ___________ Answer: When an even number is multiplied by 3 (odd number), the product is equal. When an odd number is multiplied by 3, the product is odd, so the product of 3 ? 37 is odd. Question 23. Use the number bar to display the product of 4 ? 8. 4 ? 8 = _______ Answer: 32 Explanation: Skip 2 numbers to get the product of 4 spreads. If you skip 2 numbers until you count 8, you can get 32. The answer is 32. Conclusion found to go math grade 3 key answer chapter 4 multiplies facts and strategies along with For every question. Get double facts in third grade for better practice. All the questions and answers explained in the photos, graphs for easy understanding. Do all tasks and check your answers. Your students can strengthen their knowledge by practicing all the multiplications available on this page. Learn multiplication concepts easily using our mathematical answer key for level 3 multiplication facts and strategies chapter 4. 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