Rational and Irrational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction or ratio of two integers, where the denominator is not zero. Examples include integers, fractions, and terminating or repeating decimals.

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 9.6 a rational or irrational number?

Back

9.6 is a rational number because it can be expressed as the fraction 96/10.

Front

Is √45 a rational or irrational number?

Back

√45 is an irrational number because it cannot be expressed as a fraction of two integers.

Front

What type of numbers include integers, fractions, terminating and repeating decimals?

Back

Rational Numbers.

Front

What is the decimal representation of the fraction 3/8?

Back

The decimal representation of 3/8 is 0.375, which is a terminating decimal and thus a rational number.

Front

What is the square root of 24 simplified?

Back

The square root of 24 simplified is 2√6.

Front

What is -√4?

Back

-√4 is rational because it equals -2, which is an integer.

Front

What is an example of a repeating decimal?

Back

An example of a repeating decimal is 0.141414..., which can be expressed as the fraction 14/99.

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 such.