Question
For a problem 225 estimate dental if your estimate is in overestimate or underestimate
29× 688
29× 688
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Answered by
GPT-4o mini
To estimate the product of \(29 \times 688\), we can round the numbers to make the multiplication simpler.
1. **Estimate \(29\)**: We can round \(29\) to \(30\) (which is an overestimate).
2. **Estimate \(688\)**: We can round \(688\) to \(700\) (which is also an overestimate).
Now, we multiply the rounded numbers:
\[
30 \times 700 = 21000
\]
So, the estimated product is \(21000\).
To determine if this estimate is an overestimate or an underestimate, let's consider the actual multiplication:
\[
29 \times 688 = 19952
\]
Since \(21000\) (our estimate) is greater than \(19952\) (the actual product), the estimate \(21000\) is an overestimate.
1. **Estimate \(29\)**: We can round \(29\) to \(30\) (which is an overestimate).
2. **Estimate \(688\)**: We can round \(688\) to \(700\) (which is also an overestimate).
Now, we multiply the rounded numbers:
\[
30 \times 700 = 21000
\]
So, the estimated product is \(21000\).
To determine if this estimate is an overestimate or an underestimate, let's consider the actual multiplication:
\[
29 \times 688 = 19952
\]
Since \(21000\) (our estimate) is greater than \(19952\) (the actual product), the estimate \(21000\) is an overestimate.
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