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Converting Repeating Decimals to Fractions Using Algebraic Method WORKSHEET
Suitable for Grades: 8th Grade
CCSS: 8.NS.A.1
CCSS Description: Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
Converting Repeating Decimals to Fractions Using Algebraic Method WORKSHEET DESCRIPTION
Learners can follow clear examples to guide them through the process of converting recurring decimals to fractions using an algebraic method when completing this worksheet. Decimals with up to three recurring parts are considered. Students will look at how the method differs depending on how many recurring digits each number has, as well as considering numbers greater than 1.
The worksheet concludes with a problem solving section. Here, learners will use the newly discovered method to order fractions and recurring decimals, and complete fraction and decimal operations such as multiplying a mixed number by a recurring decimal and dividing a mixed number by a recurring decimal.
