Answer :
To determine which expression has an estimated product of 45, we can look at each option and see which one rounds to 45.
Here are the expressions and their estimated products:
1. [tex]\(44.7 \times 2.1\)[/tex]:
- The exact product is roughly 94.
- This number rounds far from 45.
2. [tex]\(7.5 \times 8.4\)[/tex]:
- The exact product is roughly 63.
- This number rounds to a value much higher than 45.
3. [tex]\(8.7 \times 5.28\)[/tex]:
- The exact product is roughly 46.
- This number is very close to 45, rounding to approximately 46, which is about as close to 45 as we get.
4. [tex]\(38.1 \times 7.3\)[/tex]:
- The exact product is roughly 278.
- This number is much higher than 45.
From this analysis, the expression [tex]\(8.7 \times 5.28\)[/tex] has a product that is closest to 45, making it the best estimate.
Here are the expressions and their estimated products:
1. [tex]\(44.7 \times 2.1\)[/tex]:
- The exact product is roughly 94.
- This number rounds far from 45.
2. [tex]\(7.5 \times 8.4\)[/tex]:
- The exact product is roughly 63.
- This number rounds to a value much higher than 45.
3. [tex]\(8.7 \times 5.28\)[/tex]:
- The exact product is roughly 46.
- This number is very close to 45, rounding to approximately 46, which is about as close to 45 as we get.
4. [tex]\(38.1 \times 7.3\)[/tex]:
- The exact product is roughly 278.
- This number is much higher than 45.
From this analysis, the expression [tex]\(8.7 \times 5.28\)[/tex] has a product that is closest to 45, making it the best estimate.
