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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 :

To find which expression has an estimated product of 45, let's look at each expression one by one. We will round the numbers in the expressions to make mental math easier and estimate their products.

1. 44.7 × 2.1
- Round 44.7 to 45 (nearest whole number)
- Round 2.1 to 2 (nearest whole number)
- Estimated product: 45 × 2 = 90

2. 7.5 × 8.4
- Round 7.5 to 8 (nearest whole number)
- Round 8.4 to 8 (nearest whole number)
- Estimated product: 8 × 8 = 64

3. 8.7 × 5.28
- Round 8.7 to 9 (nearest whole number)
- Round 5.28 to 5 (nearest whole number)
- Estimated product: 9 × 5 = 45

4. 38.1 × 7.3
- Round 38.1 to 38 (nearest whole number)
- Round 7.3 to 7 (nearest whole number)
- Estimated product: 38 × 7 = 266

Looking at our estimations, the expression 8.7 × 5.28 gives us an estimated product of 45 after rounding. Therefore, the expression with the estimated product of 45 is 8.7 × 5.28.

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