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

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

Sure, let's solve the problem step-by-step to find out which expression has an estimated product of around [tex]$45.

First, we'll look at the given expressions and consider the actual products:

1. $ 44.7 \times 2.1 = 93.87 $
2. $ 7.5 \times 8.4 = 63.0 $
3. $ 8.7 \times 5.28 = 45.936 $
4. $ 38.1 \times 7.3 = 278.13 $

Let's compare these products to the estimated product of $[/tex]45:

- The product of [tex]$ 44.7 \times 2.1 $[/tex] is [tex]$ 93.87 $[/tex], which is much higher than [tex]$45.
- The product of $ 7.5 \times 8.4 $ is $ 63.0 $, which is higher than $[/tex]45 but not excessively so.
- The product of [tex]$ 8.7 \times 5.28 $[/tex] is [tex]$ 45.936 $[/tex], which is very close to [tex]$45.
- The product of $ 38.1 \times 7.3 $ is $ 278.13 $, which is much higher than $[/tex]45.

Clearly, the expression [tex]$ 8.7 \times 5.28 $[/tex] with a product of [tex]$ 45.936 $[/tex] is the closest to the estimated product of [tex]$45.

Therefore, the expression that has an estimated product of $[/tex]45 is [tex]$ 8.7 \times 5.28 $[/tex].