IXL - Classify rational and irrational numbers (Algebra 2 practice)

Is the number

–

rational or irrational?

rational

irrational

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Learn with an example

question

Is the number

–

rational or irrational?

rational

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 1.

The number 1 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, 1.

Looking for more? Try these:

Lesson: Rational numbers

Lesson: Irrational numbers

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Teacher tools

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Not feeling ready yet? These can help:

J.1Sort rational and irrational numbers

Lesson: Rational numbers

Lesson: Irrational numbers

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