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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 determine which expression has an estimated product of 45, we'll consider each choice by rounding the numbers to the nearest whole number and then multiplying them.

1. Expression: [tex]\(44.7 \times 2.1\)[/tex]
- Here, we round 44.7 to 45 and 2.1 to 2.
- Multiply: [tex]\(45 \times 2 = 90\)[/tex]

2. Expression: [tex]\(7.5 \times 8.4\)[/tex]
- Here, we round 7.5 to 8 and 8.4 to 8.
- Multiply: [tex]\(8 \times 8 = 64\)[/tex]

3. Expression: [tex]\(8.7 \times 5.28\)[/tex]
- Here, we round 8.7 to 9 and 5.28 to 5.
- Multiply: [tex]\(9 \times 5 = 45\)[/tex]

4. Expression: [tex]\(38.1 \times 7.3\)[/tex]
- Here, we round 38.1 to 38 and 7.3 to 7.
- Multiply: [tex]\(38 \times 7 = 266\)[/tex]

Based on our calculations, the expression [tex]\(8.7 \times 5.28\)[/tex] has an estimated product of 45.

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