Question
For a problem 225 estimate dental if your estimate is in overestimate or underestimate
210×733
210×733
Answers
GPT-4o mini
To estimate the product of \( 210 \times 733 \), we can round the numbers to make the multiplication easier.
1. Round \( 210 \) to \( 200 \) (rounding down).
2. Round \( 733 \) to \( 700 \) (also rounding down).
Now, we can multiply the rounded values:
\[
200 \times 700 = 140,000
\]
So, the estimate for \( 210 \times 733 \) is \( 140,000 \).
Next, let's check if this is an overestimate or an underestimate:
- The actual numbers \( 210 \) and \( 733 \) are both greater than the rounded estimates \( 200 \) and \( 700 \).
- When both factors in a multiplication are increased, the product will also be greater than the estimated product.
Therefore, \( 140,000 \) is an **underestimate** of the actual product \( 210 \times 733 \).
1. Round \( 210 \) to \( 200 \) (rounding down).
2. Round \( 733 \) to \( 700 \) (also rounding down).
Now, we can multiply the rounded values:
\[
200 \times 700 = 140,000
\]
So, the estimate for \( 210 \times 733 \) is \( 140,000 \).
Next, let's check if this is an overestimate or an underestimate:
- The actual numbers \( 210 \) and \( 733 \) are both greater than the rounded estimates \( 200 \) and \( 700 \).
- When both factors in a multiplication are increased, the product will also be greater than the estimated product.
Therefore, \( 140,000 \) is an **underestimate** of the actual product \( 210 \times 733 \).