Rational and Irrational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction, where both the numerator and the denominator are integers, and the denominator is not zero.

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.

Front

Is the number 0.5 rational or irrational?

Back

Rational

Front

Is the number √2 rational or irrational?

Back

Irrational

Front

What type of number is represented by the fraction 3/4?

Back

Rational

Front

Is the decimal 0.333... rational or irrational?

Back

Rational

Front

What type of number is represented by the fraction 7/0?

Back

Undefined (not a rational number).

Front

Is the number -3.14 rational or irrational?

Back

Rational

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits indefinitely.

Front

Is the number 1.41421356... rational or irrational?

Back

Irrational (it is the square root of 2).