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Name _____________________________________________ Date _______ Periods _______Unit One Review (Place value topics and whole number addition/subtraction) Place Value and Forms of Numbers:Standard form – uses normal everyday numbers – this is the most common way of writing numbers (705,381)Expanded form – shows the value of each digit in the form of an addition problem (700,000 + 5,000 + 300 + 80 + 1)Word form – uses words to express the number – the words that are written are exactly the same as the words you say when reading a number orally (seven hundred five thousand, three hundred eighty one)Place Value – is named by the position of the digit within the number – this is a word, not a number (45,629 – the place value of the 6 is the hundreds place)Value – is determined by the position of the digit within the number – this is a number, how much the digit is worth (45,629 – the value of the 6 is 600)PLACE VALUESPERIODSPractice questions: Write the number 83,401 in expanded and word form. ________________________________________________________________________________________________________________________________________________________________________________________________________________________Write 8,000,000 + 40,000 + 3,000 + 200 + 5 in standard and word form. ________________________________________________________________________________________________________________________________________________________________________________________________________________________What is the value of the 6 in 645,103? _____________________________What is the place value of the 5 in 645,103? _____________________________Write a number that has a 3 in the ten thousands place. (Don’t use the number 3 in any other place value.) ___________________________Comparing and Ordering Whole Numbers:Count the number of digits in each number. The number with more digits is larger. (3,456,834 > 456,834 because it has more digits)If the numbers have the same number of digits, start comparing with the largest place value. If the place value is the same, move one digit to the right until you have different digits. Look at the two different digits – the larger digit is a part of the larger number (456,814 < 456,914)Be careful to read directions – you may need to order from least to greatest or greatest to least.Equation – a math sentence that shows two math expressions are equal (2+5 = 3+4)Inequality – a math sentence where one expression is larger or smaller than the other (4+5 > 1+4)Practice questions: (<> or =) 357,135 ______ 3,571,350 42,010 ______ 41,210 8 million ______ 8,000,001 8,310 ______ 8,310Order greatest to least:81,010; 81,100; 81,001 ______________________________________________________________________Order least to greatest:145,310; 154,310; 145, 130 _______________________________________________________________________Rounding Whole Numbers:Steps for rounding: Step 1: Underline the place value you are rounding to. Example: 1,689 to the nearest hundredStep 2: If there are digits to the left of the underlined number, they will stay in your answer. Example: the 1 will remain in the thousands placeStep 3: Look at the digit to the right of the underlined digit. If that digit is 0, 1, 2, 3, or 4, keep the underlined digit the same. If the digit is 5, 6, 7, 8 or 9, round up by increasing the underlined digit by one. Example: 1,689 The 6 has an 8 beside it so I should round the 6 up to 7. Step 4: Change all of the digits to the right of the underlined place to zero. Example: 1,689 rounds to 1,700Another way to think about it:1,689 comes between 1,600 and 1,700. It is closer to 1,700 so it rounds to 1,700. (1,650 is halfway between 1,600 and 1,700 so all numbers from 1,650 to 1,700 would round to 1,700.)If the number that is rounding up is a 9…….Example: 2,951 to the nearest hundred – There is a 5 to the right of the hundreds place which is 9. When I increase the 9, I cannot write a ten in a single place value. You must increase the place value to the left of the underlined number….so the 2 becomes a 3. The answer is 3,000. Practice problems:Round to the nearest thousands place: 345,820 __________________Round to the nearest hundred thousands place: 345,820 __________________Round to the nearest tens place: 2,396 _________________Estimating Whole Numbers:Estimation is used to create a problem that we can solve mentally. You should round to the place value that is suggested. If you aren’t told what to round to, you should round to the place value that allows you to solve the problem easily. You should never actually solve the problem unless the directions tell you to do that. Remember: Estimation is something that you should be able to use without a calculator or paper/pencil.Practice problems:I am planning to purchase a book for $12.95, a calculator for $29.95, and a pack of pens for $5.75. About how much will my bill be when I check out? (Do not allow for tax.) ___________________________Round each number to the nearest hundred: 465 + 319 = ___________Round each number to the nearest thousand: 3,932 – 2,103 = _____________Adding and Subtracting Whole Numbers:If a problem is written horizontally, you should rewrite it vertically – lining up the numbers beginning with the ones place.Be sure to regroup properly. In subtraction – be sure to visit your neighbors carefully!Sum – the answer to addition problemsAddends – the numbers that you are adding in an addition problemDifference – the answer to subtraction problemsPractice problems:4,524,983 19.) 400,307 + 3,210,930- 182,176Problem Solving – Draw a Diagram was the focused strategySteps for problem solving:Step 1: Understand the problem – read the problem carefully to be sure you know what information was given and what you need to figure out. You may highlight or underline important information and the question.Step 2: Plan – Think about a strategy that you can use to solve the problem. You may draw a diagram, extend a pattern, make a table, or think about tools we’ve used. Step 3: Solve – Follow through with your plan to come up with a solution. Be careful to copy numbers accurately and do calculations carefully.Step 4: Look Back – Think about you answer to see that it makes sense. Be sure you have labeled your answer.Practice problem: Diane lives 12 blocks west of Gloria. Gloria lives 1 block north of Jessica. Jessica lives 11 blocks east of Kim. How far is it from Kim’s house to Diane’s house? ................
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