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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 find which expression has an estimated product of [tex]$45, we can estimate each multiplication by rounding the numbers and then multiplying them:

1. Expression 1: \(44.7 \times 2.1\)
- Round \(44.7\) to \(45\) (close to the nearest whole number).
- Round \(2.1\) to \(2\).
- Multiply: \(45 \times 2 = 90\).

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

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

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

From this estimation, the expression with the estimated product closest to $[/tex]45 is:

- Expression 3: [tex]\(8.7 \times 5.28\)[/tex] with an estimated product of [tex]\(45\)[/tex].

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