IXL - Sort rational and irrational numbers (Algebra 1 practice)

Classify the numbers as rational or irrational.

ref_doc_title.

Learn with an example

question

Classify the numbers as rational or irrational.

key idea

A rational number is a real number that can be expressed as a quotient of two integers. For example, the following are rational numbers:

1
2
0.75
=
3
4
–
1
=
–
1
1
0
=
0
1
0.6
=
2
3

An irrational number is a real number that is not rational. For example,

and e are irrational numbers.

and

are both rational, then

–

and

are rational. If

is not 0, then

is also rational.

solution

Classify

–

The number

–

is rational because it can be expressed as a quotient of two integers:

–

(All integers are rational numbers for the same reason.)

Classify

–

The number

–

is rational because it can be expressed as a quotient of two integers:

–

Classify

–

The number

–

is rational because it is the sum of a rational number,

–

and another rational number,

–

Looking for more? Try these:

Lesson: Rational numbers

Lesson: Irrational numbers

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	06

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? These can help:

EE.1Simplify radical expressions

Lesson: Rational numbers

Lesson: Irrational numbers

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!