Rational and Irrational Number Review

Presentation

•

Mathematics

•

8th Grade

•

Medium

•

CCSS

8.NS.A.1, 8.NS.A.2, 8.EE.A.2

Standards-aligned

Mrs. Cuellar

Used 177+ times

FREE Resource

3 Slides • 13 Questions

Rational and Irrational Number Review

Rational Numbers

A rational number is a number that can be written as a fraction. This includes:
Whole numbers $2,\ -3,\ 102$
Fractions $\frac{1}{2},\ -\frac{3}{4}$
Decimals that end $2.5,\ -0.5$
Decimals that go on with a repeating pattern $0.333...,\ \ -1.414141...$
Square/cube roots that we know the exact values $\sqrt{25},\ -\sqrt{36},\ \ ^3\sqrt{8}$

Irrational Numbers

An irrational number is a number that can not be written as a fraction. This includes:
Decimals that go on without a repeating pattern
$2.13478...,\ -1.25734...$
Square/cube roots that we do not know the exact values $\sqrt{66},\ \ ^3\sqrt{23}$

Multiple Choice

Which of the following is a rational number?

$\frac{5}{6}$

$\sqrt{68}$

$1.14624...$

$\sqrt{101}$

Multiple Choice

Which of the following is a rational number?

$\sqrt{52}$

$\sqrt{68}$

$\sqrt{100}$

$\sqrt{101}$

Multiple Choice

Which of the following is an irrational number?

$0.3$

$\sqrt{8}$

$\sqrt{49}$

$\frac{5}{22}$

Multiple Choice

Which of the following is an irrational number?

$6$

$\sqrt{81}$

$-1.2$

These are all rational

Multiple Choice

Is the cube root of 3 rational or irrational?

rational

irrational

Multiple Choice

Is the cube root of 125 rational or irrational?

rational

irrational

Multiple Choice

What type of number is a fraction?

rational

irrational

Multiple Choice

What type of number is a decimal that repeats with a pattern forever?

rational

irrational

Multiple Choice

What type of number is a square root that we can only estimate?

rational

irrational

Multiple Choice

Between what two whole numbers is $\sqrt{6}$ ?

1 and 2

2 and 3

3 and 4

4 and 5

Multiple Choice

Between what two whole numbers is $\sqrt{35}$ ?

2 and 3

3 and 4

4 and 5

5 and 6

Multiple Choice

Between what two whole numbers is the cube root of 10?

2 and 3

3 and 4

4 and 5

5 and 6

Multiple Choice

Between what two whole numbers is the cube root of 52?

2 and 3

3 and 4

4 and 5

5 and 6

Rational and Irrational Number Review

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