Question

8.464 / 0.04

SHOW YOUR WORK

Answer 1

To divide 8.464 by 0.04, you can follow these steps:

1. **Convert the divisor to a whole number**: Since 0.04 has two decimal places, you can multiply both the numerator (8.464) and the denominator (0.04) by 100 to eliminate the decimal in the divisor.

\[
8.464 \times 100 = 846.4
\]
\[
0.04 \times 100 = 4
\]

Now the division looks like this:

\[
\frac{846.4}{4}
\]

2. **Perform the division**: Now you can divide 846.4 by 4.

\[
846.4 \div 4
\]

To calculate this, you can break it down:

- 4 goes into 8 two times (2 × 4 = 8).
- Subtract 8 from 8 to get 0, bring down the next digit (4), making it 04.
- 4 goes into 4 one time (1 × 4 = 4).
- Subtract 4 from 4 to get 0, bring down the next digit (6), making it 06.
- 4 goes into 6 one time (1 × 4 = 4).
- Subtract 4 from 6 to get 2, bring down the next digit (0), making it 20.
- 4 goes into 20 five times (5 × 4 = 20).
- Subtract 20 from 20 to get 0.

Putting it all together, you get:

\[
846.4 \div 4 = 211.6
\]

Thus, the final answer is:

\[
\frac{8.464}{0.04} = 211.6
\]