Convert Fraction to Decimal: Changing 5/1000 to Its Decimal Form

Question

Convert 51000 \frac{5}{1000} into a decimal.

Video Solution

Step-by-Step Solution

To convert the fraction 51000\frac{5}{1000} into a decimal, consider the following steps:

  • Step 1: Recognize that the denominator 1000 represents thousandths. We need to express 5 in terms of thousandths.
  • Step 2: Convert the fraction to a decimal by aligning with the place value: 51000 \frac{5}{1000} is equivalent to 5 thousandths.
  • Step 3: The decimal form therefore has the digit 5 in the thousandths place, which results in the number 0.005.

Since the denominator is 1000, equivalent to three decimal places, the number 5 as part of thousandths results in 0.0050.005.

Therefore, the solution to the problem is 51000=0.005 \frac{5}{1000} = 0.005 . This corresponds to choice 2.

Answer

0.005