1. Real Numbers

1.01 The real number system

1.02 Convert decimal expansions

Review: Exponent notation and perfect squares

1.03 Square roots of perfect squares

1.04 Cube roots of perfect cubes

1.05 Estimate irrational numbers

1.06 Compare and order real numbers

Topic Review: Real numbers

United States of America

Grade 8

1.05 Estimate irrational numbers

Adaptive

Worksheet

Interactive practice questions

Which of the following has a value between $10$10 and $11$11?

$\sqrt{143}$√143

A

$\sqrt{102}$√102

B

$\sqrt{90}$√90

C

$\sqrt{167}$√167

D

Easy

< 1min

Which of the following is $\sqrt{52}$√52 closest to?

Easy

< 1min

The value of $\sqrt{59}$√59 lies between two consecutive integers.

Easy

1min

The value of $\sqrt{74}$√74 lies between two consecutive integers.

Easy

< 1min

Outcomes

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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