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Forms of Rational Numbers

Overview

This chapter introduces rational numbers and their relation to ratios, rates, proportions, decimals, and percents. Scale drawings are introduced as an application. The chapter concludes with three different types of percent problems.

What you can expect to learn

After completing these activities you should be able to

  1. Simplify rational expressions.
  2. Write ratios and unit rates.
  3. Determine whether two ratios form a proportion, and be able to solve for a missing term of a proportion.
  4. Find measurements in scale drawings and, given the measurements, be able to find the scale.
  5. Convert between rational numbers and decimal numbers.
  6. Convert between percents and decimal numbers, and between percents and fractions or mixed numbers.
  7. Find the percent of a number.
  8. Find what percent one number is of another number.
  9. Solve for the whole when given the percent and the part.
Activity List