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

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

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Step-by-step video solution

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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!

Step-by-step written solution

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1

Understand the problem

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

2

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.

3

Final Answer

0.005

Practice Quiz

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Write the following fraction as a decimal:

\( \frac{5}{100}= \)

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