Ones. Tens. Hundreds. Thousands

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1 Place Value Cards Ones Tens Hundreds Thousands Blackline Master Number and Operations in Base Ten Teacher s Guide for AP Book 4.1 C-81

2 Representing Numbers (Review) Eugene makes a model of the number 342 using base ten materials. He writes the number in expanded form, using numerals and words and using numerals alone. 342 = 3 hundreds 4 tens 2 ones expanded form (using numerals and words) 342 = expanded form (using numerals) 1. Draw a model. Write the number in expanded form using numerals and words and using numerals = 1 hundred 2 tens 5 ones 125 = = 234 = 2,307 2,307 = 2,307 = 2. Write numerals for the following number words. forty-one five hundred twenty-nine seven hundred thirty-one d) eight hundred thirty thousand, one hundred ninety e) seven hundred thousand, sixty-five f) eighty-nine thousand, five hundred two 3. Write number words for the following numbers ,000 4,700 d) 630,040 e) 20,981 f) 235, Represent the number 3,275 three ways: by sketching a model, with number words, and in expanded form. C-82 Blackline Master Number and Operations in Base Ten Teacher s Guide for AP Book 4.1

3 Differences (Advanced) (1) 1. Write the numbers that are 1 more and 1 less than the given number. 1 less than 432,600 is. 1 less than 563,429 is. 1 more than 432,600 is. 1 more than 563,429 is. 1 less than 308,499 is. d) 1 less than 720,000 is. 1 more than 308,499 is. 1 more than 720,000 is. The number of tens in a number is not the same as the tens digit! Example: 235 = 23 tens 5 ones, so 235 has 23 tens, but the tens digit is Write the tens digit and how many tens are in the number. 217 has tens digit. 217 has tens. 183 has tens digit. 183 has tens. 246 has tens digit. d) 945 has tens digit. 246 has tens. 945 has tens. e) 1,673 has tens digit. f) 7,025 has tens digit. 1,673 has tens. 7,025 has tens. g) 8,005 has tens digit. h) 6,200 has tens digit. 8,005 has tens. 6,200 has tens. Blackline Master Number and Operations in Base Ten Teacher s Guide for AP Book 4.1 C-83

4 Differences (Advanced) (2) To find the number of tens in a number, hide the ones digit. Example: 345 becomes 34, so there are 34 tens in How many tens are in each number? 249 has tens. 3,162 has tens. 43,890 has tens. d) 8,473 has tens. e) 912,417 has tens. f) 65,043 has tens. 4. How many hundreds are in 1,000? 5. How many hundreds are in each number? 2,000 has hundreds. 3,000 has hundreds. 2,300 has hundreds. d) 3,600 has hundreds. e) 2,381 has hundreds. f) 3,642 has hundreds. g) 4,512 has hundreds. h) 9,385 has hundreds. To find the number of hundreds in a number, hide the ones and tens digits. Example: 64,219 becomes 64,2, so there are 642 hundreds in 64, How many hundreds are in each number? 342 has hundreds. 5,195 has hundreds. 512,630 has hundreds. d) 730,042 has hundreds. e) 64,387 has hundreds. f) 2,061 has hundreds. 7. How would you find the number of thousands in a number? Explain using an example. C-84 Blackline Master Number and Operations in Base Ten Teacher s Guide for AP Book 4.1

5 Differences (Advanced) (3) 8. Add 10 to the number by adding 1 to the number of tens = = = 4 d) = 2 e) = 906 f) = g) 3, = h) 8, = i) 54, = j) 62, = 9. Add 100 to the number by adding 1 to the number of hundreds = 5 6 3, = 4 3 8, = 1 3 d) = 1 8 e) 7, = f) 6, = g) 43, = h) 54, = 10. Add 10 or 100 to the number. 7, = 7, = 8, = d) 8, = e) 34, = f) 399, = 11. How would you add 1,000 to a number? Explain using an example. 12. Subtract 10, 100, or 1,000 by subtracting 1 from the number of tens, hundreds, or thousands. 843,201 1,000 = 843, = 843, = d) 730,000 1,000 = e) 730, = f) 2, = g) 8, = h) 805,321 10,000 = Blackline Master Number and Operations in Base Ten Teacher s Guide for AP Book 4.1 C-85

6 Food Sale (1) C-86 Blackline Master Number and Operations in Base Ten Teacher s Guide for AP Book 4.1

7 Food Sale (2) ORANGE Blackline Master Number and Operations in Base Ten Teacher s Guide for AP Book 4.1 C-87

8 Adding with Money REMINDER 1 dime = ten cents = 10 = 10 pennies 1. Write how many dimes there are in each case. 10 = dime 20 = dimes 80 = dimes d) 50 = dimes 2. Rewrite each amount in dimes and pennies. 51 = 5 dimes 1 penny 23 = dimes pennies 67 = dimes pennies d) 92 = dimes pennies e) 2 = dimes pennies f) 5 = dimes pennies 3. Show how to regroup 10 pennies as 1 dime. d) Dimes Pennies Dimes Pennies Dimes Pennies Dimes Pennies after regrouping 4. Find the total number of dimes and pennies. Then regroup. Dimes Pennies Dimes Pennies Dimes Pennies d) Dimes Pennies total after regrouping 5. Add by regrouping 10 pennies as 1 dime. d) e) Add by lining up the dimes and pennies. Use grid paper d) e) C-88 Blackline Master Number and Operations in Base Ten Teacher s Guide for AP Book 4.1

9 Regrouping (Advanced) (1) 1. Regroup the ones. You will need to regroup the tens first You will need to regroup the hundreds first too. d) e) 9 9 f) How to regroup the ones when the tens digit is 0: Find the first non-zero Take 1 away. 0s become 9s Add 10 to the digit digit before the ones. that you regrouped for. 2. Regroup the ones d) e) f) Check your regrouping in Question 2. Use grid paper to do parts d) to f) Blackline Master Number and Operations in Base Ten Teacher s Guide for AP Book 4.1 C-89

10 Regrouping (Advanced) (2) You can regroup any place value. Example 1: Regroup the ones Example 2: Regroup the tens Regroup the tens. i) ii) iii) Check your regrouping in part. i) 1 ii) iii) Regroup the underlined place value d) e) Regroup the thousands in each number f) C-90 Blackline Master Number and Operations in Base Ten Teacher s Guide for AP Book 4.1

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