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Rational Numbers

Overview

This chapter introduces rational numbers, including how they are compared and converted among various forms. Ratios, rates, proportions, and related word problems are introduced. Irrational and real number sets are defined, and the properties of integers are applied to them.

What you can expect to learn

After completing these activities you should be able to

  1. Reduce fractions to lowest terms.
  2. Change mixed numbers to improper fractions and vice versa.
  3. Graph rational numbers on a number line.
  4. Order fractions using cross multiplication or a common denominator.
  5. Convert fractions and mixed numbers to decimals and vice versa.
  6. Express ratios as unit rates.
  7. Solve proportions containing a variable.
  8. Apply proportions to solve word problems.
  9. Classify numbers as natural, whole, integer, rational, or irrational.
Activity List