Question

Multiplying Decimals
(9.8719)(3.44)

Answer 1

To multiply the decimals \(9.8719\) and \(3.44\), you can follow these steps:

1. **Ignore the decimal points** and multiply the numbers as if they were whole numbers:
\[
98719 \times 344
\]

2. **Perform the multiplication**:
\[
98719 \times 344 = 33991856
\]

3. **Count the total number of decimal places** in the original numbers. \(9.8719\) has 4 decimal places and \(3.44\) has 2 decimal places. In total, there are:
\[
4 + 2 = 6 \text{ decimal places}
\]

4. **Place the decimal point** in the product by moving it 6 places from the right:
\[
33991856 \rightarrow 33.991856
\]

Thus, the result of multiplying \(9.8719\) and \(3.44\) is:
\[
\boxed{33.991856}
\]