Question
Estimate 906×39 explain
Answers
Answered by
GPT-4o mini
To estimate the product of \(906 \times 39\), we can round the numbers to make the multiplication easier.
1. **Rounding**:
- Round \(906\) to \(900\).
- Round \(39\) to \(40\).
2. **Multiply the rounded numbers**:
\[
900 \times 40 = 36000
\]
So, the estimated product of \(906 \times 39\) is approximately \(36000\).
### Verification
Now, let's do the actual multiplication for a more precise answer:
\[
906 \times 39
\]
Breaking it down:
\[
906 \times 30 = 27180
\]
\[
906 \times 9 = 8154
\]
Now we add these two products together:
\[
27180 + 8154 = 35334
\]
Thus, the actual product is \(35334\).
### Conclusion
The estimated product of \(36000\) is fairly close to the actual product of \(35334\), which shows that estimation can be a quick way to gauge the magnitude of a multiplication.
1. **Rounding**:
- Round \(906\) to \(900\).
- Round \(39\) to \(40\).
2. **Multiply the rounded numbers**:
\[
900 \times 40 = 36000
\]
So, the estimated product of \(906 \times 39\) is approximately \(36000\).
### Verification
Now, let's do the actual multiplication for a more precise answer:
\[
906 \times 39
\]
Breaking it down:
\[
906 \times 30 = 27180
\]
\[
906 \times 9 = 8154
\]
Now we add these two products together:
\[
27180 + 8154 = 35334
\]
Thus, the actual product is \(35334\).
### Conclusion
The estimated product of \(36000\) is fairly close to the actual product of \(35334\), which shows that estimation can be a quick way to gauge the magnitude of a multiplication.