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Which expression has an estimated product of 45?

A. [tex]447 \times 2.1[/tex]
B. [tex]75 \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 evaluate each expression separately to find an approximate result:

1. Expression: [tex]\( 447 \times 2.1 \)[/tex]
- The product here is relatively large. After calculating, the product is approximately 939. This is much larger than 45.

2. Expression: [tex]\( 75 \times 8.4 \)[/tex]
- Calculating this gives a product of approximately 630, which is again much larger than 45.

3. Expression: [tex]\( 8.7 \times 5.28 \)[/tex]
- Multiplying these numbers, we find a product around 46. This is very close to 45.

4. Expression: [tex]\( 38.1 \times 7.3 \)[/tex]
- The product of these numbers is about 278, much larger than 45.

Thus, the expression [tex]\( 8.7 \times 5.28 \)[/tex] produces a product that is closest to 45, making it the correct choice.

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