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Convert Rational Numbers to Decimals

Answer Keys Here

Aligned To Common Core Standard:

Grade 7 Number Systems - 7.NS.A.2d

How to Convert Rational Numbers to Decimals? Rational numbers are those numbers that can be written as a fraction; these can either be a proper fraction or an improper fraction. Proper fractions are those where the numerators are smaller than the denominators. Improper fractions are those where the numerators are greater than the denominators; these can also be represented as mixed numbers. Rational numbers can easily be converted into decimals using a simple division methodology. A tip here that will help you in this conversion is the proper fractions are always less than one, while improper fractions are always greater than one. There are two types of decimals when converting the rational numbers into decimals, and these are finite or terminating decimals and non-terminating decimals. Example - Convert 3/4 into a decimal. When you divide 3 by 4, you will get terminating decimal 0.75. - Convert 5/9 into a decimal. When you divide 5 by 9 you will get a non-terminating decimal 0.555....

Printable Worksheets And Lessons

Homework Sheets

The first and last sheet are what you commonly see in this section. The second sheet was based on a request.

  • Homework 1 - Look at the first two digits. The first two digits are more than 11. Start with the first 2 digits. Divide the ones.
  • Homework 2 - Use the grid to fill in the missing number.
  • Homework 3 - Write 0.8 as a fraction in simplest form.

Practice Worksheets

I went off on a bit of a tangent with sheet 2, but I found that this skill is great to couple in here.

  • Practice 1 - 3 columns are shaded. The column represents 3 tenths, or 0.3. 4 rows are shaded. The rows represent 4 tenths, or 0.4.
  • Practice 2 - Find the sums of all the decimals.
  • Practice 3 - More grids to get it going.

Math Skill Quizzes

You will find the second and third quiz to be a great summation for students.

  • Quiz 1 - Write 0.17 as a fraction in simplest form.
  • Quiz 2 - Convert a rational number to a decimal.
  • Quiz 3 - Solve the decimal equation.