8.464 / 0.04

show your work

DONT CONVERT 0.04

1 answer

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: \[ 846.4 \div 4 = 211.6 \]

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