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 or quotient of two integers. Its decimal representation is non-repeating and non-terminating.

Front

Is the number 77/3 rational or irrational?

Back

Rational

Front

Is the square root of 25 rational or irrational?

Back

Rational

Front

Which of the following is a rational number: 1/4, √7, or π?

Back

1/4

Front

Is the square root of 7 rational or irrational?

Back

Irrational

Front

What type of number is a repeating decimal?

Back

Rational

Front

Can all integers be classified as rational numbers?

Back

Yes, all integers are rational numbers because they can be expressed as a fraction with a denominator of 1.

Front

What is an example of an irrational number?

Back

An example of an irrational number is π (pi) or √2.

Front

How can you identify a rational number from a decimal?

Back

A decimal is rational if it either terminates (e.g., 0.75) or repeats (e.g., 0.333...).