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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 evaluate the product of each expression and compare the results to 45. Here's a step-by-step explanation:

1. Evaluate each product: We have four expressions to consider:
- [tex]\(44.7 \times 2.1 = 93.87\)[/tex]
- [tex]\(7.5 \times 8.4 = 63.0\)[/tex]
- [tex]\(8.7 \times 5.28 = 45.936\)[/tex]
- [tex]\(38.1 \times 7.3 = 278.13\)[/tex]

2. Compare the products to 45: We want to find the expression whose product is closest to 45. Looking at the results:
- [tex]\(93.87\)[/tex] is much higher than 45.
- [tex]\(63.0\)[/tex] is greater than 45.
- [tex]\(45.936\)[/tex] is very close to 45.
- [tex]\(278.13\)[/tex] is significantly greater than 45.

3. Identify the closest product:
- Among all the products, [tex]\(45.936\)[/tex] is the closest to 45.

Therefore, the expression [tex]\(8.7 \times 5.28\)[/tex] is the one with an estimated product closest to 45.

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