1. Real Numbers

1.01 The real number system

1.02 Review: Exponent notation and perfect squares

1.03 Square roots of perfect squares

1.04 Estimating square roots

1.05 Cube roots of perfect cubes

1.06 Comparing and ordering real numbers

United States of America OH

Grade 8

1.04 Estimating square roots

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.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. 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.

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