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Answer :
Let's go through each expression one by one to determine which one has an estimated product of around $45. To do that, we can round the numbers in each expression to make it easier to multiply and estimate the product.
1. Expression: [tex]\(44.7 \times 2.1\)[/tex]
- Round [tex]\(44.7\)[/tex] to [tex]\(45\)[/tex].
- Round [tex]\(2.1\)[/tex] to [tex]\(2\)[/tex].
- Estimated product: [tex]\(45 \times 2 = 90\)[/tex].
2. Expression: [tex]\(7.5 \times 8.4\)[/tex]
- Round [tex]\(7.5\)[/tex] to [tex]\(8\)[/tex].
- Round [tex]\(8.4\)[/tex] to [tex]\(8\)[/tex].
- Estimated product: [tex]\(8 \times 8 = 64\)[/tex].
3. Expression: [tex]\(8.7 \times 5.28\)[/tex]
- Round [tex]\(8.7\)[/tex] to [tex]\(9\)[/tex].
- Round [tex]\(5.28\)[/tex] to [tex]\(5\)[/tex].
- Estimated product: [tex]\(9 \times 5 = 45\)[/tex].
4. Expression: [tex]\(38.1 \times 7.3\)[/tex]
- Round [tex]\(38.1\)[/tex] to [tex]\(38\)[/tex].
- Round [tex]\(7.3\)[/tex] to [tex]\(7\)[/tex].
- Estimated product: [tex]\(38 \times 7 = 266\)[/tex].
From these calculations, the expression [tex]\(8.7 \times 5.28\)[/tex] has an estimated product of [tex]\(45\)[/tex]. Therefore, this is the expression that matches the target estimated product.
1. Expression: [tex]\(44.7 \times 2.1\)[/tex]
- Round [tex]\(44.7\)[/tex] to [tex]\(45\)[/tex].
- Round [tex]\(2.1\)[/tex] to [tex]\(2\)[/tex].
- Estimated product: [tex]\(45 \times 2 = 90\)[/tex].
2. Expression: [tex]\(7.5 \times 8.4\)[/tex]
- Round [tex]\(7.5\)[/tex] to [tex]\(8\)[/tex].
- Round [tex]\(8.4\)[/tex] to [tex]\(8\)[/tex].
- Estimated product: [tex]\(8 \times 8 = 64\)[/tex].
3. Expression: [tex]\(8.7 \times 5.28\)[/tex]
- Round [tex]\(8.7\)[/tex] to [tex]\(9\)[/tex].
- Round [tex]\(5.28\)[/tex] to [tex]\(5\)[/tex].
- Estimated product: [tex]\(9 \times 5 = 45\)[/tex].
4. Expression: [tex]\(38.1 \times 7.3\)[/tex]
- Round [tex]\(38.1\)[/tex] to [tex]\(38\)[/tex].
- Round [tex]\(7.3\)[/tex] to [tex]\(7\)[/tex].
- Estimated product: [tex]\(38 \times 7 = 266\)[/tex].
From these calculations, the expression [tex]\(8.7 \times 5.28\)[/tex] has an estimated product of [tex]\(45\)[/tex]. Therefore, this is the expression that matches the target estimated product.
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