High School

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

A. [tex]$44.7 \times 2.1$[/tex]
B. [tex][tex]$75 \times 8.4$[/tex][/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, we need to evaluate the products of each expression given:

1. 44.7 × 2.1: This expression yields a product of approximately 93.87. This result is quite a bit higher than 45.

2. 75 × 8.4: The product here is 630.0, which is significantly larger than 45.

3. 8.7 × 5.28: Here, the product is approximately 45.936. This is very close to 45, making it a strong candidate.

4. 38.1 × 7.3: This product comes out to approximately 278.13, which is much larger than 45.

Among these, the expression 8.7 × 5.28 gives the closest product to 45, making it the best fit for the given condition.