Answer :
To find which expression has an estimated product of 45, let's look at each expression and estimate the product step by step:
1. Expression: [tex]\(44.7 \times 2.1\)[/tex]
- Estimation: Round 44.7 to 45 and 2.1 to 2.
- Product Estimation: [tex]\(45 \times 2 = 90\)[/tex]
- The actual estimated product turns out to be around 94.
2. Expression: [tex]\(75 \times 84\)[/tex]
- Estimation: Keep 75 and round 84 to 80.
- Product Estimation: [tex]\(75 \times 80 = 6000\)[/tex]
- The actual estimated product is 6300.
3. Expression: [tex]\(87 \times 528\)[/tex]
- Estimation: Round 87 to 90 and 528 to 530.
- Product Estimation: [tex]\(90 \times 530 = 47700\)[/tex]
- The actual estimated product is 45936.
4. Expression: [tex]\(38.1 \times 7.3\)[/tex]
- Estimation: Round 38.1 to 38 and 7.3 to 7.
- Product Estimation: [tex]\(38 \times 7 = 266\)[/tex]
- The actual estimated product is 278.
After reviewing these estimations:
- [tex]\(44.7 \times 2.1\)[/tex] has an estimated product of approximately 94.
- [tex]\(75 \times 84\)[/tex] has an estimated product of 6300.
- [tex]\(87 \times 528\)[/tex] has an estimated product of 45936.
- [tex]\(38.1 \times 7.3\)[/tex] has an estimated product of 278.
The expression [tex]\(44.7 \times 2.1\)[/tex] results in the product closest to 45 when estimating. However, based on the provided numerical results, the expression that gives the closest actual product to 45 is [tex]\(44.7 \times 2.1\)[/tex] with an actual estimated product of around 94.
1. Expression: [tex]\(44.7 \times 2.1\)[/tex]
- Estimation: Round 44.7 to 45 and 2.1 to 2.
- Product Estimation: [tex]\(45 \times 2 = 90\)[/tex]
- The actual estimated product turns out to be around 94.
2. Expression: [tex]\(75 \times 84\)[/tex]
- Estimation: Keep 75 and round 84 to 80.
- Product Estimation: [tex]\(75 \times 80 = 6000\)[/tex]
- The actual estimated product is 6300.
3. Expression: [tex]\(87 \times 528\)[/tex]
- Estimation: Round 87 to 90 and 528 to 530.
- Product Estimation: [tex]\(90 \times 530 = 47700\)[/tex]
- The actual estimated product is 45936.
4. Expression: [tex]\(38.1 \times 7.3\)[/tex]
- Estimation: Round 38.1 to 38 and 7.3 to 7.
- Product Estimation: [tex]\(38 \times 7 = 266\)[/tex]
- The actual estimated product is 278.
After reviewing these estimations:
- [tex]\(44.7 \times 2.1\)[/tex] has an estimated product of approximately 94.
- [tex]\(75 \times 84\)[/tex] has an estimated product of 6300.
- [tex]\(87 \times 528\)[/tex] has an estimated product of 45936.
- [tex]\(38.1 \times 7.3\)[/tex] has an estimated product of 278.
The expression [tex]\(44.7 \times 2.1\)[/tex] results in the product closest to 45 when estimating. However, based on the provided numerical results, the expression that gives the closest actual product to 45 is [tex]\(44.7 \times 2.1\)[/tex] with an actual estimated product of around 94.
