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Answer :
Sure! Let's go through each option to estimate which expression has a product closest to [tex]\(45\)[/tex]:
1. Expression: [tex]\(44.7 \times 2.1\)[/tex]
- This calculation would give us a product significantly larger than 45 because 44.7 is quite large.
2. Expression: [tex]\(7.5 \times 8.4\)[/tex]
- This can be estimated as [tex]\(7.5 \approx 7.5\)[/tex] and [tex]\(8.4 \approx 8.4\)[/tex]. Multiplying them would give approximately [tex]\(7.5 \times 8.4 = 63\)[/tex].
- Thus, the product is significantly larger than 45.
3. Expression: [tex]\(8.7 \times 5.28\)[/tex]
- Let's estimate this as [tex]\(8.7 \approx 9\)[/tex] and [tex]\(5.28 \approx 5.3\)[/tex]. Multiplying them would give approximately [tex]\(9 \times 5.3 = 47.7\)[/tex].
- The actual multiplication gives us [tex]\(45.936\)[/tex], which is very close to 45!
4. Expression: [tex]\(38.1 \times 7.3\)[/tex]
- This can be estimated as [tex]\(38.1 \approx 38\)[/tex] and [tex]\(7.3 \approx 7.3\)[/tex]. Multiplying them would give approximately [tex]\(38 \times 7.3 = 277.4\)[/tex].
- Thus, the product is much larger than 45.
Given these estimates, the expression that provides a product closest to 45 is:
[tex]\(8.7 \times 5.28\)[/tex] with a product of approximately 45.936, which is very close to 45.
So, the expression that has an estimated product of 45 is:
[tex]\[ \boxed{8.7 \times 5.28} \][/tex]
1. Expression: [tex]\(44.7 \times 2.1\)[/tex]
- This calculation would give us a product significantly larger than 45 because 44.7 is quite large.
2. Expression: [tex]\(7.5 \times 8.4\)[/tex]
- This can be estimated as [tex]\(7.5 \approx 7.5\)[/tex] and [tex]\(8.4 \approx 8.4\)[/tex]. Multiplying them would give approximately [tex]\(7.5 \times 8.4 = 63\)[/tex].
- Thus, the product is significantly larger than 45.
3. Expression: [tex]\(8.7 \times 5.28\)[/tex]
- Let's estimate this as [tex]\(8.7 \approx 9\)[/tex] and [tex]\(5.28 \approx 5.3\)[/tex]. Multiplying them would give approximately [tex]\(9 \times 5.3 = 47.7\)[/tex].
- The actual multiplication gives us [tex]\(45.936\)[/tex], which is very close to 45!
4. Expression: [tex]\(38.1 \times 7.3\)[/tex]
- This can be estimated as [tex]\(38.1 \approx 38\)[/tex] and [tex]\(7.3 \approx 7.3\)[/tex]. Multiplying them would give approximately [tex]\(38 \times 7.3 = 277.4\)[/tex].
- Thus, the product is much larger than 45.
Given these estimates, the expression that provides a product closest to 45 is:
[tex]\(8.7 \times 5.28\)[/tex] with a product of approximately 45.936, which is very close to 45.
So, the expression that has an estimated product of 45 is:
[tex]\[ \boxed{8.7 \times 5.28} \][/tex]
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