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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 :

Sure! Let's figure out which expression has an estimated product of 45 by rounding the numbers in each multiplication to make estimation easier.

1. 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. Expression 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. Expression 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. Expression 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]

From these estimations, the product closest to 45 is from Expression 3: [tex]\(8.7 \times 5.28\)[/tex].

So, the expression with an estimated product of 45 is [tex]\(8.7 \times 5.28\)[/tex].

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