Approximate Irrational Numbers

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a fraction of two integers. Its decimal representation is non-repeating and non-terminating.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

Front

What is the square root of 40 approximately between which two integers?

Back

The square root of 40 is approximately between 6 and 7.

Front

Which of the following is irrational: 0.444444444, -4/5, π, 0.2?

Back

π is an irrational number.

Front

Which number is rational: √20, √64, 6π, √7?

Back

√64 is a rational number because it equals 8.

Front

Is √7 rational or irrational?

Back

√7 is an irrational number.

Front

In between what two integers is the square root of 77?

Back

The square root of 77 is between 8 and 9.

Front

What is the approximate value of π?

Back

The approximate value of π is 3.14.

Front

What does it mean for a number to be real?

Back

A real number is any number that can be found on the number line, including both rational and irrational numbers.

Front

How can you determine if a square root is rational?

Back

A square root is rational if it is the square of a whole number.