High School

Which expression has an estimated product of 45?

A. [tex]$44.7 \times 2.1$[/tex]
B. [tex]$7.5 \times 84$[/tex]
C. [tex]$87 \times 5.28$[/tex]
D. [tex]$38.1 \times 7.3$[/tex]

Answer :

To determine which expression has an estimated product of 45, we need to evaluate the approximate products for each of the given expressions. Here’s how to estimate each product step-by-step:

1. Expression 1: [tex]\(44.7 \times 2.1\)[/tex]
- The actual product is approximately 93.87.
- When rounded to the nearest whole number, this product is 94.

2. Expression 2: [tex]\(7.5 \times 84\)[/tex]
- The actual product is 630.0.
- When rounded to the nearest whole number, this product remains 630.

3. Expression 3: [tex]\(87 \times 5.28\)[/tex]
- The actual product is approximately 459.36.
- When rounded to the nearest whole number, this product is 459.

4. Expression 4: [tex]\(38.1 \times 7.3\)[/tex]
- The actual product is approximately 278.13.
- When rounded to the nearest whole number, this product is 278.

After reviewing all the estimated products, we see that none of the expressions round to 45.

The correct answer is that none of the given expressions have an estimated product of 45.