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Estimate and calculate these multiplication problems: a) 31 x 29 b) 18 x 22 c) 18 x 13

Mathematics

ScanSolve AI Answer

Answers

3 parts
a
899
b
396
c
234

Step-by-step solution

9 steps

Let's estimate and calculate these multiplication problems.

Part a· 3 steps

31×2931 \times 29

  1. Estimate the product.

    Round 31 to 30 and 29 to 30.

    30×30=90030 \times 30 = 900

    The estimated product is 900.

  2. Calculate the exact product.

    31×29=89931 \times 29 = 899

    The exact product is 899.

  3. Verify the student's answer.

    The student's answer of 899 is correct. The estimate of 900 is close to the exact answer.
    The answer is 899\boxed{899}.

Part b396

18×2218 \times 22

  1. Estimate the product.

    Round 18 to 20 and 22 to 20.

    20×20=40020 \times 20 = 400

    The estimated product is 400.

  2. Calculate the exact product.

    18×22=39618 \times 22 = 396

    The exact product is 396.

  3. Verify the student's answer.

    The student's answer of 396 is correct. The estimate of 400 is close to the exact answer.
    The answer is 396\boxed{396}.

Part c234

18×1318 \times 13

  1. Estimate the product.

    Round 18 to 20 and 13 to 10.

    20×10=20020 \times 10 = 200

    The estimated product is 200.

  2. Calculate the exact product.

    18×13=23418 \times 13 = 234

    The exact product is 234.

  3. Verify the student's answer.

    The student's answer of 234 is correct. The estimate of 200 is reasonably close to the exact answer.
    The answer is 234\boxed{234}.

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