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Name: _____________________________Date: _______________MATHEMATICS SUMMER PACKET 2017-2018WELCOME TO 6TH GRADEDirections: Show ALL the work on loose leaf paper and Print & Write the answers next to each question or Type the answers next to each question & Print. (DO NOT USE A CALCULATOR).Due Date: First Week of School (NO EXCUSES!!!!!!!)1.) Find the prime factorization (factor tree) using exponents. a. 50b. 2482.) Find the GCF ofa. 40 and 56b. 27, 54, and 813.) Find the LCM of a. 15 and 18b. 2, 5, and 124.) Solve: Use the order of operations.a. 25 ×5-2÷5-12=b. 24 ÷ 23+ 6× 33=5.) Order the decimals from least to greatest.a. 20.302, 20.03, 20.0032, 20.3002, 20.0023: ______________________________________________________________________________6.) Compare the following decimals using <,>, or =.a. 0.01231 ____ 0.01232b. 32.00501 ___ 32.067.) Round the following decimals to the indicated place value.a. 85.2367:b. 3.218:8.) Adda. 1.3 + 5.97=b. 32.47 + 67=9.) Subtracta. 7.80 – 5.697=b. 26 – 4.90=10.) Multiply decimals by decimalsa. 78.3 ×3.7=b. 42.69×2.3=11.) Divide multi-digit numbers (Write the remainders)a. 2, 479 ÷25=b. 23, 678 ÷32=12.) Divide decimals by decimals (round it to the nearest hundredths) a. 32.19 ÷2.5=b. 8.6÷0.05=13.) Simplify. If the fraction is in the simplest form, write simplest form. a. 315b. 497014.) Write each mixed number as in improper fractiona. 378b. 75915.) Write each improper fraction as a mixed number or a whole number.a. 7774b. 22516) Order the fractions from least to greatest.a. 13, 27, 314, 16b. 1112, 56, 34, 91617.) Write each decimal as a fraction in simplest form.a. 5.012b. 2.4518.) Write each fraction or mixed number as a decimal.a. 935b. 103419.) Compare by using <, >, =.a. 1320____0.650b. 0.59 ____ 3520.) Find the percent of each numbera. 42% of 800b. 85% of 151270082550Identity Property of AdditionIdentity Property of Multiplication Zero Property of MultiplicationCommutative Property of AdditionCommutative Property of MultiplicationAssociative Property of AdditionAssociative Property of MultiplicationThe Distributive Property Commutative Property of Division0Identity Property of AdditionIdentity Property of Multiplication Zero Property of MultiplicationCommutative Property of AdditionCommutative Property of MultiplicationAssociative Property of AdditionAssociative Property of MultiplicationThe Distributive Property Commutative Property of DivisionFill in the blank using the properties above.21.) ______________________ is multiplying a number by a sum gives the same result as multiplying that number by each term in the sum and then adding the corresponding products.22.) _______________________ means changing the grouping of addends does not change the sum.23.) _______________________ means changing the order of factors does not change the product.24.) _______________________ means changing the grouping of factors does not change the product.25.) _______________________ means changing the order of addends does not change the sum.26.) _______________________ multiplying by 1 does not change the value of a number.27.) _______________________ multiplying by 0 results in a product of 028.) _______________________ adding 0 does not change the value of a number.right2997201a + 1b18-1235 ×014 + 15 + 6s?4?250+352a +(3b + 4c)k ×( j × t)18+12001a + 1b18-1235 ×014 + 15 + 6s?4?250+352a +(3b + 4c)k ×( j × t)18+12Match each expression to an equivalent expression in the box.29.) 14 + 6 +1530.) 4 ? s ? 2531.) a + b32.) 033.) 3534.) (2a + 3b) + 4c35.) k × j × t36.) 3(6+4)Word Problems37.) Dr. Paige received $220 during the summer. She spent $88.25 on clothes and $32.75 on food. How much money does she have left? 38.) Monica bought 4 apples for $0.99/each, one pear for $0.75, 8 oranges for $0.15/each, and 4 pineapples for $ 1.50/each. She gives the cashier a $50 bill. How much change will she get back?39.) Leslie, Valerie, Tyler and Aniyah go to the movies. They bought 4 tickets for $11.50/each, 2 small popcorn for $2.50/each, 2 large popcorn for $3.50/each and 4 small drinks for $2.25/each. How much is the bill? If they decide to split the bill evenly, how much would each pay? 40.) Julian spends 49 of his money on rent and 37 of his money on food. Does he spend more money on food or rent? Explain41.) Pablo got 15 out of 26 questions correctly on his math test. What is the percent of correct answers? 42.) Ms. Parson’s has 12 boys and 11 girls. What is the percent of girls in her classroom?43.) There 656 students in JCCCS, 125 students take the bus, 235 walk to school and the rest take another transportation. What is the percent of students taking another transportation?44.) In Mr. Stinson’s classroom, 52% of the student are girls and he has a total of 25 students. How many girls are in his classroom? 45.) If you were 10 years old on Earth, you would be 41.244 years old on Mercury. Write the age on Mercury as a mixed number in simplest form. Algebra:46. Evaluate the following expressions if a=2.3, b=1.5, and c=3.4a.) 4.3a+4.1b=b.) 75-12.1b=47. Evaluate each expression if f=67, g=134, h=234a.) 12fhb.) fghVocabulary:Define the following words and provide an example. 48.) Quadrilateral49.) Square50.) Rectangle51.) Parallelogram52.) Triangle53.) Area54.) Perimeter 55.) Surface Area56.) Polygon57.) GeometryI am aware that my child/children completed the Summer Packet that is due the first week of school.Parent/Guardian signature: _____________________________________________________ ................
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