Rational and Irrational Numbers

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.

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 √25 rational or irrational?

Back

Rational (√25 = 5, which is an integer).

Front

Which of the following is a rational number: 1/4, π, √3?

Back

1/4 (it can be expressed as a fraction).

Front

Is 77/3 rational or irrational?

Back

Rational (it can be expressed as a fraction).

Front

Which of the following is irrational: 9.6, √45, 3/8, 3.4 x 10⁵?

Back

√45 (it cannot be expressed as a fraction).

Front

Is 0.141414141414... rational or irrational?

Back

Rational (it can be expressed as 14/99, a repeating decimal).

Front

What is an example of a rational number?

Back

Examples include 1/2, -3, 0.75, and 4.

Front

What is an example of an irrational number?

Back

Examples include π, √2, and e.

Front

Can a whole number be a rational number?

Back

Yes, all whole numbers are rational numbers because they can be expressed as a fraction (e.g., 5 = 5/1).