Use long division to convert 6715 to a decimal.(1 point)

Responses

≈0.46
approximately equals 0.46

6.715
6.715

≈6.14285
approximately equals 6.14285

≈6.47

1 answer

To convert 6715 into a decimal using long division, we interpret this as dividing 6715 by 1000.

Let's perform the division of 6715 by 1000.

  1. Set up the long division:

    • 6715 is the dividend.
    • 1000 is the divisor.
  2. Start dividing:

    • How many times does 1000 go into 6715? It goes 6 times (because 1000×6=6000).
    • Write 6 above the division line.
  3. Subtract:

    • 67156000=715.
  4. Bring down the next digit:

    • Since we are dividing into 1000, we could imagine bringing down two zeroes, but because we are converting to a decimal, we can actually start placing a decimal after the 6.
    • Thus, we have 6.715.

This means that 6715=6.715 when converted to a decimal.

So the answer is:

6.715

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