Use long division to convert 6715

to a decimal.(1 point)
Responses

6.715
6.715

≈0.46
approximately equals 0.46

≈6.14285
approximately equals 6.14285

≈6.47

1 answer

To convert the whole number 6715 to a decimal representation, you would divide it by 1000 as this places it in the decimal context. However, since the options provided seem to indicate that 6715 should be divided by 1000 to give the equivalent decimal value, we will use long division to do that process.

When dividing 6715 by 1000:

  1. 1000 goes into 6715 six times (since \( 1000 \times 6 = 6000 \)).
  2. Subtract 6000 from 6715, which gives you a remainder of 715.
  3. Now, you can add a decimal point in the quotient and then consider the next digit(s). Since we are working with a decimal, we can think of our number as 6715.000.
  4. Bring down the '0' (from 6715.000) next to the remainder, so we now have 7150.
  5. 1000 goes into 7150 seven times (since \( 1000 \times 7 = 7000 \)).
  6. Subtract 7000 from 7150, which gives you a remainder of 150.
  7. Bring down another '0', making it 1500.
  8. 1000 goes into 1500 one time (since \( 1000 \times 1 = 1000 \)).
  9. Subtract 1000 from 1500, which gives you a remainder of 500.
  10. Bring down another '0', making it 5000.
  11. 1000 goes into 5000 five times (since \( 1000 \times 5 = 5000 \)).
  12. Subtract 5000 from 5000, which gives you a remainder of 0.

The result would be:

  • In whole number form: 6
  • And from the division process: .715

This shows that: \[ 6715 \div 1000 = 6.715 \]

Thus, the correct response is 6.715.