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Approximating and Comparing Irrational Numbers

8th Grade · Math · CCSS

8 lessons

Goal

Use rational approximations to locate, compare, and order irrational numbers on a number line.

8 lessons
0 of 8 done
  1. Approximating Irrational Numbers on a Number LineUp next
  2. Finding Whole Numbers Near a Square RootNot started yet
  3. Finding Rational Numbers Greater and Less Than a RootYou are here
  4. Approximating √2 Using Successive ApproximationNot started yet
  5. Representing √3 and Other Irrational Numbers on the Number LineNot started yet
  6. Comparing Irrational Numbers Using ApproximationsNot started yet
  7. Estimating Values of Expressions with Irrational NumbersNot started yet
  8. Ordering Rational and Irrational NumbersNot started yet
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Learning standards covered

us8.NS.A.2Common Core State Standards · Math · 8th Grade

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., π2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.

Open Global Standard:OGM.9.NS.2
GlobalOGM.9.NS.2