Rational & 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 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

Is -√4 a rational or irrational number?

Back

-√4 is a rational number because it equals -2, which can be expressed as -2/1.

Front

What is the decimal representation of a rational number?

Back

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

Front

Is pi (π) a rational or irrational number?

Back

Pi (π) is an irrational number because it cannot be expressed as a fraction of two integers.

Front

What is the significance of the number 3.141592...?

Back

3.141592... is an approximation of pi (π), which is an irrational number.

Front

Is -17.5 a rational or irrational number?

Back

-17.5 is a rational number because it can be expressed as -35/2.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits indefinitely.

Front

Is .141414141414... a rational or irrational number?

Back

.141414141414... is a rational number because it can be expressed as 14/99.

Front

What is the square root of 25?

Back

The square root of 25 is 5, which is a rational number.