Section B Section B Checkpoint

Problem 1

Find the value of 18×718 \times 7. Explain or show your reasoning.

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Solution

18×7=12618 \times 7 = 126. Sample response:

area diagram

70+56=12670 + 56 = 126

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Sample Response

18×7=12618 \times 7 = 126. Sample response:

area diagram

70+56=12670 + 56 = 126

Problem 2

Find the value of 27×3627 \times 36. Explain or show your reasoning.

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Solution

972. Sample response:

area diagram

600+120+210+42=972600 + 120 + 210 + 42 = 972

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Sample Response

972. Sample response:

area diagram

600+120+210+42=972600 + 120 + 210 + 42 = 972

Problem 3

Here is Noah’s work finding the value of 92×7892 \times 78.

Do you agree with Noah’s work? Explain or show your reasoning.

multiply. ninety 2 times seventy 8. 7 rows.
multiply. ninety 2 times seventy 8. 7 rows. First row: ninety 2. Second row: multiplication symbol, seventy 8. Horizontal line. Third row: 16. Fourth row: 7 hundred 20. Fifth row: 14. Sixth row: plus 6 hundred 30. Horizontal line. Seventh row: 1 thousand 3 hundred eighty.

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Solution

I disagree with Noah. Sample response: He multiplied 2 and 90 by 7 instead of by 70. Those partial products should be 10 times as much, 140 and 6,300 instead of 14 and 630.

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Sample Response

I disagree with Noah. Sample response: He multiplied 2 and 90 by 7 instead of by 70. Those partial products should be 10 times as much, 140 and 6,300 instead of 14 and 630.