Answer :
To check if Shaha's answer is reasonable, we can use estimation.
First, let's estimate the division 218 ÷ 31. We can round 218 down to 210 (because it ends with an 8, which is closer to 10) and 31 up to 30 (because 31 is close to 30). Thus, the division would be approximately:
[tex]\frac{210}{30} = 7[/tex]
Since our estimation of 7 is very far from 70.3, it's clear that Shaha's answer is not reasonable.
Now, let's use a calculator to find the exact value of 218 ÷ 31:
Using a calculator:
[tex]\frac{218}{31} \approx 7.032258[/tex]
The actual value is approximately 7.03, which is much closer to our estimated value of 7, confirming that Shaha made an error with the answer of 70.3.
It's important to always check the reasonableness of a calculator's answer using estimation, as it helps catch mistakes like this one.
