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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 :

- Round each number in the given expressions to the nearest whole number.
- Calculate the estimated product for each expression.
- Compare the estimated products with 45.
- The expression $8.7 \times 5.28$ has an estimated product of $\boxed{45}$.

### Explanation
1. Understanding the Problem
We are given four multiplication expressions and asked to identify the one with an estimated product of 45. This means we need to round the numbers in each expression and then multiply them to see which result is closest to 45.

2. Estimating the Products
Let's analyze each expression:

1. $44.7 Imes 2.1$: Rounding gives $45 Imes 2 = 90$.
2. $7.5 Imes 8.4$: Rounding gives $8 Imes 8 = 64$ or $7.5 Imes 8 = 60$.
3. $8.7 Imes 5.28$: Rounding gives $9 Imes 5 = 45$.
4. $38.1 Imes 7.3$: Rounding gives $38 Imes 7 = 266$.

3. Identifying the Correct Expression
Comparing the estimated products, we see that $9 Imes 5 = 45$ is exactly 45. Therefore, the expression $8.7 Imes 5.28$ has an estimated product of 45.

4. Final Answer
Therefore, the expression with an estimated product of 45 is $8.7 Imes 5.28$.

### Examples
Estimating products is useful in everyday situations such as grocery shopping. If you want to buy 8 items that cost approximately $6 each, you can quickly estimate the total cost to be around $48. This helps you to stay within your budget without needing to calculate the exact amount.

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