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.