Answer :
To solve the problem, we can estimate the product for each expression and then determine which one is closest to 45.
1. For the first expression,
[tex]$$44.7 \times 2.1 \approx 93.87.$$[/tex]
This value is much larger than 45.
2. For the second expression,
[tex]$$7.5 \times 8.4 \approx 63.0.$$[/tex]
This value is also above 45.
3. For the third expression,
[tex]$$8.7 \times 5.28 \approx 45.936.$$[/tex]
This value is very close to 45.
4. For the fourth expression,
[tex]$$38.1 \times 7.3 \approx 278.13.$$[/tex]
This value is far greater than 45.
Since the product from the third expression is approximately 45.936 (which is nearly 45), the expression with an estimated product of [tex]$45$[/tex] is
[tex]$$\boxed{8.7 \times 5.28}.$$[/tex]
1. For the first expression,
[tex]$$44.7 \times 2.1 \approx 93.87.$$[/tex]
This value is much larger than 45.
2. For the second expression,
[tex]$$7.5 \times 8.4 \approx 63.0.$$[/tex]
This value is also above 45.
3. For the third expression,
[tex]$$8.7 \times 5.28 \approx 45.936.$$[/tex]
This value is very close to 45.
4. For the fourth expression,
[tex]$$38.1 \times 7.3 \approx 278.13.$$[/tex]
This value is far greater than 45.
Since the product from the third expression is approximately 45.936 (which is nearly 45), the expression with an estimated product of [tex]$45$[/tex] is
[tex]$$\boxed{8.7 \times 5.28}.$$[/tex]
