College

**Quiz**

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 :

Sure! Let's solve this step by step to find out which expression has an estimated product of 45.

### Step-by-Step Solution:

1. Evaluate each expression:

- Expression 1: [tex]\(44.7 \times 2.1\)[/tex]
[tex]\[
44.7 \times 2.1 = 93.87
\][/tex]
If we round this value, we get 94.

- Expression 2: [tex]\(7.5 \times 8.4\)[/tex]
[tex]\[
7.5 \times 8.4 = 63.0
\][/tex]
If we round this value, we get 63.

- Expression 3: [tex]\(8.7 \times 5.28\)[/tex]
[tex]\[
8.7 \times 5.28 = 45.936
\][/tex]
If we round this value, we get 46.

- Expression 4: [tex]\(38.1 \times 7.3\)[/tex]
[tex]\[
38.1 \times 7.3 = 278.13
\][/tex]
If we round this value, we get 278.

2. Compare the rounded results:

- [tex]\(44.7 \times 2.1\)[/tex] rounds to 94
- [tex]\(7.5 \times 8.4\)[/tex] rounds to 63
- [tex]\(8.7 \times 5.28\)[/tex] rounds to 46
- [tex]\(38.1 \times 7.3\)[/tex] rounds to 278

3. Identify the result closest to 45:
We have the values 94, 63, 46, and 278. Among these, 46 is the closest to 45.

4. Conclusion:
The expression that has an estimated product of 45 is:
[tex]\[
\boxed{8.7 \times 5.28}
\][/tex]

This detailed step-by-step process helps us understand that [tex]\(8.7 \times 5.28\)[/tex] yields the closest product to 45 when estimated.

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