Question

8.464 / 0.04
show your work

DONT CONVERT 0.04

Answer 1

To divide 8.464 by 0.04 without converting 0.04 into a different form, you can set up the division like this:

1. **Write the division:**
\[
8.464 \div 0.04
\]

2. **Eliminate the decimal in the divisor (0.04):** Since there are two decimal places in 0.04, we can multiply both numbers by 100 to eliminate the decimal:
\[
(8.464 \times 100) \div (0.04 \times 100)
\]
This simplifies to:
\[
846.4 \div 4
\]

3. **Now, perform the division:**
- Divide \( 846.4 \) by \( 4 \):
\[
846.4 \div 4
\]

4. **Perform the long division:**
- 4 goes into 8 two times:
- \( 2 \times 4 = 8 \)
- Subtract \( 8 \) from \( 8 \): \( 8 - 8 = 0 \), bring down the next digit (4).
- 4 goes into 4 one time:
- \( 1 \times 4 = 4 \)
- Subtract \( 4 \) from \( 4 \): \( 4 - 4 = 0 \), bring down the next digit (6).
- 4 goes into 6 one time:
- \( 1 \times 4 = 4 \)
- Subtract \( 4 \) from \( 6 \): \( 6 - 4 = 2 \), bring down the next digit (0).
- 4 goes into 20 five times:
- \( 5 \times 4 = 20 \)
- Subtract \( 20 \) from \( 20 \): \( 20 - 20 = 0 \)

So, you find that:
\[
846.4 \div 4 = 211.6
\]

5. **Final answer:**
Thus, \( 8.464 \div 0.04 = 211.6 \).