Lesson · M.1.3

Comparing and ordering rational numbers

A reliable method for putting fractions, decimals, and negative numbers in order, using the comparison symbols the TEAS expects you to read.

ObjectiveM.1.3Read2 minExam weightNumbers and Algebra ≈ 53% of Mathematics

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What you will be able to do

  • Convert fractions and negative numbers to decimals to compare them accurately.
  • Order a mixed list of rational numbers by comparing place value from left to right.
  • Read and write an inequality chain that states a full ordering in one line.

What the lesson concludes

  • Convert every value in a mixed list, fractions included, to decimal form before comparing.
  • Compare digits from the highest place value down, moving right only when digits tie.
  • A negative number further from zero is the smaller value, not the larger one.
  • Finding a common denominator lets you compare fraction numerators directly.
  • Read an inequality chain such as a less than b less than c as stating the full order in one line.