Question

8.464 / 0.04

SHOW YOUR WORKK

Answer 1

To divide \( 8.464 \) by \( 0.04 \), we can follow these steps:

1. **Convert the divisor to a whole number**:
Since \( 0.04 \) is not a whole number, we can multiply both the numerator (the dividend) and the denominator (the divisor) by \( 100 \) to eliminate the decimal in the divisor.

\[
8.464 \div 0.04 = \frac{8.464 \times 100}{0.04 \times 100} = \frac{846.4}{4}
\]

2. **Divide the numbers**:
Now, we divide \( 846.4 \) by \( 4 \).

To perform the division:

- \( 4 \) goes into \( 8 \) two times (since \( 4 \times 2 = 8 \)).
- Subtract \( 8 \) from \( 8 \) to get \( 0 \); bring down the next digit \( 4 \).
- \( 4 \) goes into \( 4 \) one time (since \( 4 \times 1 = 4 \)).
- Subtract \( 4 \) from \( 4 \) to get \( 0 \); bring down the next digit \( 6 \).
- \( 4 \) goes into \( 6 \) one time (since \( 4 \times 1 = 4 \)).
- Subtract \( 4 \) from \( 6 \) to get \( 2 \); bring down the next digit \( 0 \) (from the decimal).
- \( 4 \) goes into \( 20 \) five times (since \( 4 \times 5 = 20 \)).
- Subtract \( 20 \) from \( 20 \) to get \( 0 \).

Putting it all together, we have:

\[
846.4 \div 4 = 211.6
\]

3. **Final Answer**:
Thus,

\[
8.464 \div 0.04 = 211.6
\]

So, the final answer is

\[
\boxed{211.6}
\]