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 the square root of 144 rational or irrational?

Back

Rational. The square root of 144 is 12, which is a whole number.

Front

Is the square root of 125 rational or irrational?

Back

Irrational. The square root of 125 is approximately 11.18, which cannot be expressed as a fraction of two integers.

Front

Is the square root of 152 rational or irrational?

Back

Irrational. The square root of 152 is approximately 12.33, which cannot be expressed as a fraction of two integers.

Front

Is the square root of 121 rational or irrational?

Back

Rational. The square root of 121 is 11, which is a whole number.

Front

What is an example of a rational number?

Back

An example of a rational number is 3/4.

Front

What is an example of an irrational number?

Back

An example of an irrational number is π (pi), which is approximately 3.14.

Front

Can a whole number be considered a rational number?

Back

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

Front

What is the decimal representation of an irrational number?

Back

The decimal representation of an irrational number is non-repeating and non-terminating. For example, the decimal representation of π is 3.14159... and continues indefinitely.