Rational or Irrational

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 -4.

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

Is 0.75 a rational number?

Back

Yes, 0.75 is a rational number because it can be expressed as 3/4.

Front

Is √3 a rational number?

Back

No, √3 is an irrational number because it cannot be expressed as a fraction of two integers.

Front

What is the sum of two rational numbers?

Back

The sum of two rational numbers is always a rational number.

Front

What is the product of a rational number and an irrational number?

Back

The product of a rational number (other than zero) and an irrational number is always an irrational number.

Front

Can a rational number be negative?

Back

Yes, rational numbers can be negative, such as -1/2 or -3.

Front

What is an example of an irrational number?

Back

An example of an irrational number is π (pi), which is approximately 3.14159.

Front

Is 1/3 a rational number?

Back

Yes, 1/3 is a rational number because it can be expressed as a fraction.

Front

What is the decimal representation of 1/4?

Back

The decimal representation of 1/4 is 0.25, which is a rational number.