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 the number -17.565 rational or irrational?

Back

Rational, because it can be expressed as a fraction (-17655/1000).

Front

Is the square root of 57 rational or irrational?

Back

Irrational, because it cannot be expressed as a fraction.

Front

What is the square root of 25?

Back

5, which is a rational number.

Front

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

Back

√45, because it cannot be expressed as a fraction.

Front

Is √3 rational or irrational?

Back

Irrational, because it cannot be expressed as a fraction.

Front

What is an example of a rational number?

Back

1/2, -3, or 0.75.

Front

What is an example of an irrational number?

Back

π (pi) or √2.

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).