Question

1. what is 6 × 3.94? show your work below using the box method.

Explanation:

Step1: Decompose 3.94

We can write \( 3.94 = 3 + 0.9 + 0.04 \). This is breaking the decimal number into its whole number part and decimal parts for easier multiplication using the box method.

Step2: Multiply each part by 6

• Multiply 3 by 6: \( 3\times6 = 18 \)
• Multiply 0.9 by 6: \( 0.9\times6 = 5.4 \)
• Multiply 0.04 by 6: \( 0.04\times6 = 0.24 \)

Step3: Add the results

Now we add the three products together: \( 18 + 5.4 + 0.24 \). First, add 18 and 5.4: \( 18+5.4 = 23.4 \). Then add 0.24 to 23.4: \( 23.4 + 0.24 = 23.64 \).

Alternatively, we can also do the multiplication directly: \( 6\times3.94 = 6\times(4 - 0.06)=6\times4-6\times0.06 = 24 - 0.36 = 23.64 \) (this is a simpler way, but the box method uses the decomposition as above).

Answer:

\( 23.64 \)