Question

Multiplying Decimals
(9.8710)(3.44)

Answer 1

To multiply the decimals \(9.8710\) and \(3.44\), follow these steps:

1. **Ignore the decimals and multiply the numbers as if they were whole numbers**:
\[
98710 \times 344
\]

2. **Perform the multiplication**:
\[
98710 \times 344 = 33926840
\]

3. **Count the total number of decimal places in the original numbers**:
- \(9.8710\) has 4 decimal places.
- \(3.44\) has 2 decimal places.
- Total: \(4 + 2 = 6\) decimal places.

4. **Place the decimal point in the product**:
Place the decimal point 6 places from the right in \(33926840\):
\[
33.926840
\]

Thus, the product of \(9.8710\) and \(3.44\) is \(\boxed{33.926840}\).