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CodeSignal

The Real Number System and Irrationality

via CodeSignal

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Overview

You will meet the numbers that refuse to be written as fractions. You will learn why their decimal expansions never terminate or repeat, recognize famous examples like π and e, and identify irrationals generated by square roots. Finally, you will learn to bound these numbers between integers to understand their place on the number line.

Syllabus

  • Unit 1: Introducing Irrational Numbers
    • Identifying Irrational Numbers
    • Decimal Behavior Practice
    • Explain Number Line Gaps
  • Unit 2: Famous Irrational Constants
    • Identify Rounded Pi and E
    • Pi and E Statements
    • Explain Pi And E Decimals
  • Unit 3: Square Roots and Irrationality
    • Recognizing Perfect Squares
    • Match Integers To Square Root Descriptions
    • Classifying Square Roots
    • Justify A Square Root
  • Unit 4: Classifying Rational and Irrational
    • Classifying Rational and Irrational
    • Match Numbers To Classification Reasons
    • Refute The Decimal Claim
  • Unit 5: Bounding Irrational Numbers
    • Complete The Square Root Bounds
    • Finding Square Root Bounds
    • Reading Bounds Of Constants

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