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

Question

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

00:04 Let's convert this to a decimal fraction.

00:07 The number of zeros in the denominator tells us how many places to move the decimal point left.

00:14 There are three zeros, so we'll move the decimal point three places to the left.

00:19 Put the numerator so that there are three digits after the decimal point.

00:25 Fill in any missing digits with zeros.

00:29 And that's how we find the solution!

To convert the fraction $\frac{5}{1000}$ 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: $\frac{5}{1000}$ 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 $0.005$ .

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

0.005