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Which expression has an estimated product of [tex]$45$[/tex]?

A. [tex]44.7 \times 2.1[/tex]
B. [tex]7.5 \times 8.4[/tex]
C. [tex]8.7 \times 5.28[/tex]
D. [tex]38.1 \times 7.3[/tex]

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]

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