Answer :
To determine which expression has an estimated product of 45, we can use some estimation by rounding each number to the nearest whole number and then multiplying them. Here’s how we can do this:
1. Evaluate each expression by estimation:
- [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].
- [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].
- [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].
- [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].
2. Conclusion:
The expression [tex]$8.7 \times 5.28$[/tex] has an estimated product of 45. This is achieved by rounding both numbers appropriately and multiplying them to get an estimated result close to the desired value of 45.
1. Evaluate each expression by estimation:
- [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].
- [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].
- [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].
- [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].
2. Conclusion:
The expression [tex]$8.7 \times 5.28$[/tex] has an estimated product of 45. This is achieved by rounding both numbers appropriately and multiplying them to get an estimated result close to the desired value of 45.
