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Answer :
To solve the problem of finding which expression has an estimated product of approximately [tex]$45, we need to quickly assess each multiplication:
1. $[/tex]44.7 \times 2.1[tex]$:
- If we round $[/tex]44.7[tex]$ to $[/tex]45[tex]$ and $[/tex]2.1[tex]$ to $[/tex]2[tex]$, the multiplication becomes $[/tex]45 \times 2 = 90[tex]$. This is quite far from $[/tex]45[tex]$.
2. $[/tex]7.5 \times 8.4[tex]$:
- Rounding $[/tex]7.5[tex]$ to $[/tex]8[tex]$ and $[/tex]8.4[tex]$ to $[/tex]8[tex]$, the multiplication becomes $[/tex]8 \times 8 = 64[tex]$. This is also not close to $[/tex]45[tex]$.
3. $[/tex]8.7 \times 5.28[tex]$:
- Rounding $[/tex]8.7[tex]$ to $[/tex]9[tex]$ and $[/tex]5.28[tex]$ to $[/tex]5[tex]$, the multiplication becomes $[/tex]9 \times 5 = 45[tex]$. This is very close to our target of $[/tex]45[tex]$.
4. $[/tex]38.1 \times 7.3[tex]$:
- If we round $[/tex]38.1[tex]$ to $[/tex]38[tex]$ and $[/tex]7.3[tex]$ to $[/tex]7[tex]$, the multiplication becomes $[/tex]38 \times 7 = 266[tex]$. This is much higher than $[/tex]45[tex]$.
From evaluating each expression, the third expression, $[/tex]8.7 \times 5.28[tex]$, gives an estimated product that is very close to $[/tex]45[tex]$. Thus, this is the expression with an estimated product of approximately $[/tex]45$.
1. $[/tex]44.7 \times 2.1[tex]$:
- If we round $[/tex]44.7[tex]$ to $[/tex]45[tex]$ and $[/tex]2.1[tex]$ to $[/tex]2[tex]$, the multiplication becomes $[/tex]45 \times 2 = 90[tex]$. This is quite far from $[/tex]45[tex]$.
2. $[/tex]7.5 \times 8.4[tex]$:
- Rounding $[/tex]7.5[tex]$ to $[/tex]8[tex]$ and $[/tex]8.4[tex]$ to $[/tex]8[tex]$, the multiplication becomes $[/tex]8 \times 8 = 64[tex]$. This is also not close to $[/tex]45[tex]$.
3. $[/tex]8.7 \times 5.28[tex]$:
- Rounding $[/tex]8.7[tex]$ to $[/tex]9[tex]$ and $[/tex]5.28[tex]$ to $[/tex]5[tex]$, the multiplication becomes $[/tex]9 \times 5 = 45[tex]$. This is very close to our target of $[/tex]45[tex]$.
4. $[/tex]38.1 \times 7.3[tex]$:
- If we round $[/tex]38.1[tex]$ to $[/tex]38[tex]$ and $[/tex]7.3[tex]$ to $[/tex]7[tex]$, the multiplication becomes $[/tex]38 \times 7 = 266[tex]$. This is much higher than $[/tex]45[tex]$.
From evaluating each expression, the third expression, $[/tex]8.7 \times 5.28[tex]$, gives an estimated product that is very close to $[/tex]45[tex]$. Thus, this is the expression with an estimated product of approximately $[/tex]45$.
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