Rational and Irrational Numbers

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 example of a rational number?

Back

1/4 is an example of a rational number.

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.

Front

What is an example of an irrational number?

Back

√2 is an example of an irrational number.

Front

What is the decimal representation of a rational number?

Back

The decimal representation of a rational number either terminates (ends) or repeats.

Front

What is the decimal representation of the number 0.141414141414...?

Back

0.141414141414... is a repeating decimal and is therefore a rational number.

Front

Is √16 a rational number?

Back

Yes, √16 is a rational number because it equals 4, which can be expressed as 4/1.

Front

What is the square root of 50?

Back

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

Front

How can you determine if a number is rational or irrational?

Back

To determine if a number is rational, check if it can be expressed as a fraction of two integers. If it cannot, it is irrational.

Front

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

Back

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