rational vs 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.

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

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 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.

Front

Is the number 0.333... rational or irrational?

Back

0.333... is a rational number because it can be expressed as the fraction 1/3.

Front

Is the number √50 rational or irrational?

Back

√50 is an irrational number because it cannot be expressed as a fraction of two integers.

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

Front

Is the number 12.3 an integer?

Back

No, 12.3 is not an integer because it has a decimal component.

Front

What is the square root of 20 between which two consecutive integers?

Back

The square root of 20 is between 4 and 5.