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

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 can round the numbers in each expression to the nearest whole numbers and then multiply them to find the estimated product.

1. Expression: [tex]\(44.7 \times 2.1\)[/tex]
- Round 44.7 to 45
- Round 2.1 to 2
- Multiply: [tex]\(45 \times 2 = 90\)[/tex]

2. Expression: [tex]\(7.5 \times 8.4\)[/tex]
- Round 7.5 to 8
- Round 8.4 to 8
- Multiply: [tex]\(8 \times 8 = 64\)[/tex]

3. Expression: [tex]\(8.7 \times 5.28\)[/tex]
- Round 8.7 to 9
- Round 5.28 to 5
- Multiply: [tex]\(9 \times 5 = 45\)[/tex]

4. Expression: [tex]\(38.1 \times 7.3\)[/tex]
- Round 38.1 to 38
- Round 7.3 to 7
- Multiply: [tex]\(38 \times 7 = 266\)[/tex]

After rounding and calculating the estimated products, the expression [tex]\(8.7 \times 5.28\)[/tex] results in an estimated product of 45.

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