High School

Which expression has an estimated product of 45?

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, we can round each number in the expressions to the nearest whole number and then multiply them to estimate the product.

Let's evaluate each expression:

1. [tex]$44.7 \times 2.1$[/tex]

- Round 44.7 to 45
- Round 2.1 to 2
- Estimated product: [tex]\(45 \times 2 = 90\)[/tex]

2. [tex]$7.5 \times 8.4$[/tex]

- Round 7.5 to 8
- Round 8.4 to 8
- Estimated product: [tex]\(8 \times 8 = 64\)[/tex]

3. [tex]$8.7 \times 5.28$[/tex]

- Round 8.7 to 9
- Round 5.28 to 5
- Estimated product: [tex]\(9 \times 5 = 45\)[/tex]

4. [tex]$38.1 \times 7.3$[/tex]

- Round 38.1 to 38
- Round 7.3 to 7
- Estimated product: [tex]\(38 \times 7 = 266\)[/tex]

After estimating each product, we see that the expression [tex]$8.7 \times 5.28$[/tex] has an estimated product of 45.