IXL - Properties of operations on rational and irrational numbers (Algebra 2 practice)

The number

is irrational. Which statement about

–

is true?

–

is rational.

–

is irrational.

–

can be rational or irrational, depending on the value of

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Learn with an example

question

The number

is rational. Which statement about

–

is true?

–

is rational.

–

is irrational.

–

can be rational or irrational, depending on the value of

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

First, note that the number 5 is rational because it can be expressed as a quotient of two integers:

The number

–

is rational because it is the difference of two rational numbers,

and 5.

Looking for more? Try these:

Lesson: Rational numbers

Lesson: Irrational numbers

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J.2Classify rational and irrational numbers

Lesson: Rational numbers

Lesson: Irrational numbers

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