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Topic Review: Real numbers

Adaptive
Worksheet

Interactive practice questions

Which of the following is the set of all integers?

$\left\{\ldots,-3,-2,-1,0\right\}${,3,2,1,0}

A

$\left\{1,2,3,\ldots\right\}${1,2,3,}

B

$\left\{\ldots,-3,-2,-1,0,1,2,3,\ldots\right\}${,3,2,1,0,1,2,3,}

C

$\left\{0,1,2,3,\ldots\right\}${0,1,2,3,}

D
Easy
< 1min

Answer the following questions about whole numbers.

Easy
1min

Fill in the blank so that the resulting statement is true.

Easy
< 1min

Using the diagram, determine whether the following statement is true or false:

$\sqrt{19}$19 is a rational number.

Medium
< 1min
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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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