Answer :
To find out which expression has an estimated product of $45, let's take a look at the expressions one by one and their products:
1. [tex]\( 44.7 \times 2.1 \)[/tex]
- The product is [tex]\( 93.87 \)[/tex].
2. [tex]\( 7.5 \times 8.4 \)[/tex]
- The product is [tex]\( 63.0 \)[/tex].
3. [tex]\( 8.7 \times 5.28 \)[/tex]
- The product is [tex]\( 45.936 \)[/tex].
4. [tex]\( 38.1 \times 7.3 \)[/tex]
- The product is [tex]\( 278.13 \)[/tex].
Now we compare each product to our target value of [tex]\( 45 \)[/tex]:
- The product of [tex]\( 44.7 \times 2.1 \)[/tex] is [tex]\( 93.87 \)[/tex], which is much higher than [tex]\( 45 \)[/tex].
- The product of [tex]\( 7.5 \times 8.4 \)[/tex] is [tex]\( 63.0 \)[/tex], which is also higher than [tex]\( 45 \)[/tex].
- The product of [tex]\( 8.7 \times 5.28 \)[/tex] is [tex]\( 45.936 \)[/tex], which is very close to [tex]\( 45 \)[/tex].
- The product of [tex]\( 38.1 \times 7.3 \)[/tex] is [tex]\( 278.13 \)[/tex], which is much higher than [tex]\( 45 \)[/tex].
Based on these products, the expression that has a product closest to [tex]\( 45 \)[/tex] is:
[tex]\[ 8.7 \times 5.28 \][/tex]
1. [tex]\( 44.7 \times 2.1 \)[/tex]
- The product is [tex]\( 93.87 \)[/tex].
2. [tex]\( 7.5 \times 8.4 \)[/tex]
- The product is [tex]\( 63.0 \)[/tex].
3. [tex]\( 8.7 \times 5.28 \)[/tex]
- The product is [tex]\( 45.936 \)[/tex].
4. [tex]\( 38.1 \times 7.3 \)[/tex]
- The product is [tex]\( 278.13 \)[/tex].
Now we compare each product to our target value of [tex]\( 45 \)[/tex]:
- The product of [tex]\( 44.7 \times 2.1 \)[/tex] is [tex]\( 93.87 \)[/tex], which is much higher than [tex]\( 45 \)[/tex].
- The product of [tex]\( 7.5 \times 8.4 \)[/tex] is [tex]\( 63.0 \)[/tex], which is also higher than [tex]\( 45 \)[/tex].
- The product of [tex]\( 8.7 \times 5.28 \)[/tex] is [tex]\( 45.936 \)[/tex], which is very close to [tex]\( 45 \)[/tex].
- The product of [tex]\( 38.1 \times 7.3 \)[/tex] is [tex]\( 278.13 \)[/tex], which is much higher than [tex]\( 45 \)[/tex].
Based on these products, the expression that has a product closest to [tex]\( 45 \)[/tex] is:
[tex]\[ 8.7 \times 5.28 \][/tex]
