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Which expression has an estimated product of 45?

A. [tex]44.7 \times 2.1[/tex]
B. [tex]7.5 \times 8.4[/tex]
C. [tex]8.7 \times 5.28[/tex]
D. [tex]38.1 \times 7.3[/tex]

Answer :

To determine which expression has an estimated product of 45, we need to estimate the product of each pair of numbers.

1. Estimate the product of [tex]\(44.7 \times 2.1\)[/tex]:
- Round 44.7 to 45 and 2.1 to 2.
- Calculate the product: [tex]\(45 \times 2 = 90\)[/tex].

2. Estimate the product of [tex]\(7.5 \times 8.4\)[/tex]:
- Round 7.5 to 8 and 8.4 to 8.
- Calculate the product: [tex]\(8 \times 8 = 64\)[/tex].

3. Estimate the product of [tex]\(8.7 \times 5.28\)[/tex]:
- Round 8.7 to 9 and 5.28 to 5.
- Calculate the product: [tex]\(9 \times 5 = 45\)[/tex].

4. Estimate the product of [tex]\(38.1 \times 7.3\)[/tex]:
- Round 38.1 to 40 and 7.3 to 7.
- Calculate the product: [tex]\(40 \times 7 = 280\)[/tex].

After estimating, we see that the product from [tex]\(8.7 \times 5.28\)[/tex] is approximately 45. Therefore, the expression that has an estimated product of 45 is [tex]\(8.7 \times 5.28\)[/tex].

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