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Answer :
Sure, let's solve the problem step-by-step to find out which expression has an estimated product of around [tex]$45.
First, we'll look at the given expressions and consider the actual products:
1. \( 44.7 \times 2.1 = 93.87 \)
2. \( 7.5 \times 8.4 = 63.0 \)
3. \( 8.7 \times 5.28 = 45.936 \)
4. \( 38.1 \times 7.3 = 278.13 \)
Let's compare these products to the estimated product of $[/tex]45:
- The product of [tex]\( 44.7 \times 2.1 \)[/tex] is [tex]\( 93.87 \)[/tex], which is much higher than [tex]$45.
- The product of \( 7.5 \times 8.4 \) is \( 63.0 \), which is higher than $[/tex]45 but not excessively so.
- The product of [tex]\( 8.7 \times 5.28 \)[/tex] is [tex]\( 45.936 \)[/tex], which is very close to [tex]$45.
- The product of \( 38.1 \times 7.3 \) is \( 278.13 \), which is much higher than $[/tex]45.
Clearly, the expression [tex]\( 8.7 \times 5.28 \)[/tex] with a product of [tex]\( 45.936 \)[/tex] is the closest to the estimated product of [tex]$45.
Therefore, the expression that has an estimated product of $[/tex]45 is [tex]\( 8.7 \times 5.28 \)[/tex].
First, we'll look at the given expressions and consider the actual products:
1. \( 44.7 \times 2.1 = 93.87 \)
2. \( 7.5 \times 8.4 = 63.0 \)
3. \( 8.7 \times 5.28 = 45.936 \)
4. \( 38.1 \times 7.3 = 278.13 \)
Let's compare these products to the estimated product of $[/tex]45:
- The product of [tex]\( 44.7 \times 2.1 \)[/tex] is [tex]\( 93.87 \)[/tex], which is much higher than [tex]$45.
- The product of \( 7.5 \times 8.4 \) is \( 63.0 \), which is higher than $[/tex]45 but not excessively so.
- The product of [tex]\( 8.7 \times 5.28 \)[/tex] is [tex]\( 45.936 \)[/tex], which is very close to [tex]$45.
- The product of \( 38.1 \times 7.3 \) is \( 278.13 \), which is much higher than $[/tex]45.
Clearly, the expression [tex]\( 8.7 \times 5.28 \)[/tex] with a product of [tex]\( 45.936 \)[/tex] is the closest to the estimated product of [tex]$45.
Therefore, the expression that has an estimated product of $[/tex]45 is [tex]\( 8.7 \times 5.28 \)[/tex].
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