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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]

To find out which expression has an estimated product of 45, we'll look at each multiplication and consider approximations that might help us identify the closest estimate.

1. Estimate the product for [tex]$44.7 \times 2.1$[/tex]:
- First, round each number to make the multiplication easier. [tex]$44.7$[/tex] rounds to [tex]$45$[/tex] and [tex]$2.1$[/tex] rounds to [tex]$2$[/tex].
- Now multiply: [tex]$45 \times 2 = 90$[/tex].
- This product is much higher than 45.

2. Estimate the product for [tex]$7.5 \times 8.4$[/tex]:
- Round [tex]$7.5$[/tex] to [tex]$8$[/tex] and [tex]$8.4$[/tex] to [tex]$8$[/tex].
- Multiply: [tex]$8 \times 8 = 64$[/tex].
- This product is above 45 but not very close.

3. Estimate the product for [tex]$8.7 \times 5.28$[/tex]:
- Round [tex]$8.7$[/tex] to [tex]$9$[/tex] and [tex]$5.28$[/tex] to [tex]$5$[/tex].
- Multiply: [tex]$9 \times 5 = 45$[/tex].
- This estimated product is exactly 45.

4. Estimate the product for [tex]$38.1 \times 7.3$[/tex]:
- Round [tex]$38.1$[/tex] to [tex]$38$[/tex] and [tex]$7.3$[/tex] to [tex]$7$[/tex].
- Multiply: [tex]$38 \times 7 = 266$[/tex].
- This product is significantly above 45.

Based on the estimates, the expression [tex]$8.7 \times 5.28$[/tex] has an estimated product of approximately 45.