Rational vs Irrational

Front

What is the definition of 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 the definition of an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction; it is a decimal that never ends and never repeats.

Front

Give an example of a rational number.

Back

An example of a rational number is 1/2 or 0.75.

Front

Give an example of an irrational number.

Back

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

Front

What is the square root of 50 classified as?

Back

The square root of 50 (√50) is classified as an irrational number.

Front

Is -3 a rational number?

Back

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

Front

What is the decimal representation of 1/3?

Back

The decimal representation of 1/3 is 0.333..., which is a repeating decimal.

Front

What is the significance of the number 0 in rational numbers?

Back

0 is considered a rational number because it can be expressed as 0/1.

Front

What is the classification of the number √5?

Back

The number √5 is classified as an irrational number.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions of integers, while irrational numbers cannot be expressed as fractions and have non-repeating, non-terminating decimal expansions.