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Which expression has an estimated product of [tex]$45$[/tex]?

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 :

We need to determine which expression yields a product that is closest to [tex]$45$[/tex]. We start by calculating the product for each expression:

1. For the expression
[tex]$$
44.7 \times 2.1,
$$[/tex]
the product is approximately
[tex]$$
93.87.
$$[/tex]

2. For the expression
[tex]$$
7.5 \times 8.4,
$$[/tex]
the product is approximately
[tex]$$
63.0.
$$[/tex]

3. For the expression
[tex]$$
8.7 \times 5.28,
$$[/tex]
the product is approximately
[tex]$$
45.936.
$$[/tex]

4. For the expression
[tex]$$
38.1 \times 7.3,
$$[/tex]
the product is approximately
[tex]$$
278.13.
$$[/tex]

Next, we compare how close each of these products is to [tex]$45$[/tex] by finding the absolute difference:

- For [tex]$93.87$[/tex], the difference is
[tex]$$
|93.87 - 45| = 48.87.
$$[/tex]
- For [tex]$63.0$[/tex], the difference is
[tex]$$
|63.0 - 45| = 18.0.
$$[/tex]
- For [tex]$45.936$[/tex], the difference is
[tex]$$
|45.936 - 45| = 0.936.
$$[/tex]
- For [tex]$278.13$[/tex], the difference is
[tex]$$
|278.13 - 45| = 233.13.
$$[/tex]

The expression [tex]$8.7 \times 5.28$[/tex] gives a product of approximately [tex]$45.936$[/tex], which is closest to [tex]$45$[/tex].

Thus, the expression with an estimated product of [tex]$45$[/tex] is

[tex]$$
8.7 \times 5.28.
$$[/tex]

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