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Topic Review: Real numbers

Introduction

We've just finished the chapter on Real Numbers. Let's do a review to ensure we have mastered each topic.

Real Numbers

In this chapter we covered the following topics:

  •  The real number system 
  •  Convert decimal expansions 
  •  Square roots of perfect squares 
  •  Cube roots of perfect cubes 
  •  Estimate irrational numbers 
  •  Compare and order real numbers 

Outcomes

8.NS.A.1

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.

8.NS.A.2

Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g. π^2).

8.EE.A.2

Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

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