Classifying Numbers in the Real Number System

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. Examples include 1/2, -3, and 0.75.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction. It cannot be written as a ratio of two integers. Examples include √2, π, and e.

Front

Classify the number 0.25252525.

Back

Rational

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero. Examples include -3, 0, and 7.

Front

Which of the following is NOT an integer? 9.1, 8/9, -9, -2.3

Back

9.1 and 8/9 are not integers.

Front

What is a whole number?

Back

A whole number is a non-negative integer, which includes zero. Examples are 0, 1, 2, 3.

Front

Classify the number -14.

Back

Integer, Real, Rational (but NOT Whole).

Front

What is the square root of 49?

Back

7

Front

Which of the following is an irrational number? .363636, .25, 1.4568259....

Back

1.4568259....

Front

What is the square root of 120?

Back

Approximately 10.95.