Use long division to convert 6715

to a decimal.(1 point)
Responses

≈6.14285
approximately equals 6.14285

≈6.47
approximately equals 6.47

6.715
6.715

≈0.46
approximately equals 0.46

1 answer

To convert 6715 to a decimal using long division, we need to assume that we are dividing it by 1000 to find its equivalent in decimal form. This is because converting a whole number to a decimal typically involves dividing it by a power of ten.

  1. Set up the division: In this case, we will divide 6715 by 1000.

  2. Perform the division:

    • 1000 goes into 6715 six times (since \(6 \times 1000 = 6000\)).
    • Subtract 6000 from 6715, giving us 715.
    • Now we need to include the decimal point. Since 1000 has three zeros, we add three decimal places to the quotient.
    • Bring down a zero making it 7150.
    • Now, 1000 goes into 7150 seven times (since \(7 \times 1000 = 7000\)).
    • Subtract 7000 from 7150, giving us 150.
    • Bring down another zero making it 1500.
    • 1000 goes into 1500 one time (since \(1 \times 1000 = 1000\)).
    • Subtract 1000 from 1500, giving us 500.
    • Bring down another zero making it 5000.
    • 1000 goes into 5000 five times (since \(5 \times 1000 = 5000\)).
    • Subtract 5000 from 5000, giving us 0.
  3. Combining the results:

    • So we have \(6.715\) as the result of \(6715 \div 1000\).

The final result, therefore, is:

6.715

So the answer from the choices provided is 6.715.