To estimate the product of \( 8.21 \times 3.6 \), we can round both numbers to one decimal place:
- \( 8.21 \) rounds to \( 8.2 \)
- \( 3.6 \) remains \( 3.6 \)
Now, we can estimate the multiplication:
\[ 8.2 \times 3.6 \]
Next, we can further simplify:
- \( 8.2 \) can be rounded to \( 8 \)
- \( 3.6 \) can be rounded to \( 4 \)
Now we multiply:
\[ 8 \times 4 = 32 \]
Therefore, the estimated product of \( 8.21 \times 3.6 \) is approximately \( 32 \).
To check the actual multiplication:
\[ 8.21 \times 3.6 = 29.556 \]
So the estimated result is close to the actual product.