Question

5.6 x 6.41 Explanation

Answer 1

To calculate \(5.6 \times 6.41\) step by step, you can follow these methods:

### Method 1: Direct Multiplication

1. **Align the numbers**:
\[
\begin{array}{r}
5.60 \\
\times 6.41 \\
\hline
\end{array}
\]

2. **Multiply by the first digit of the bottom number (1)**:
- \(5.60 \times 1 = 5.60\)

3. **Multiply by the second digit of the bottom number (4)** (shift one position to the left):
- \(5.60 \times 4 = 22.40\)

4. **Multiply by the first digit of the bottom number (6)** (shift two positions to the left):
- \(5.60 \times 6 = 33.60\)

5. **Write the results aligned according to the place value**:
\[
\begin{array}{r}
5.60 \\
+ 22.40 \\
+ 33.60 \, \text{(shifted left by two positions)}\\
\hline
\end{array}
\]

6. **Now sum them up**:
- \(5.60 + 22.40 + 33.60 = 35.936\)

### Method 2: Using Decimal Placement

1. **Multiply as whole numbers**:
- Ignore the decimals for now: \(56 \times 641\).

\[
56 \times 641 = 35,936
\]

2. **Count the total decimal places**:
- \(5.6\) has 1 decimal place, and \(6.41\) has 2 decimal places. Therefore, there are a total of \(1 + 2 = 3\) decimal places.

3. **Place the decimal in the product**:
- Since \(35,936\) needs three decimal places, we write it as \(35.936\).

### Conclusion

Thus, the result of \(5.6 \times 6.41\) is **35.936**.