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

Give an example of an irrational number.

Back

Examples of irrational numbers include √2, √3, π (pi), and e (Euler's number).

Front

What is the approximate value of √12?

Back

The approximate value of √12 is 3.5.

Front

Estimate the square root of 90.

Back

The approximate value of √90 is 9.3.

Front

Put in order of least to greatest: √5, 3, 2½, √8.

Back

The order from least to greatest is: √5, 2½, √8, 3.

Front

To which whole number is π closest on a number line?

Back

π is closest to 3 on a number line.

Front

What is the approximate value of √20?

Back

The approximate value of √20 is 4.5.

Front

How do you determine if a number is irrational?

Back

A number is irrational if it cannot be expressed as a fraction a/b where a and b are integers and b ≠ 0.

Front

What is the square root of 2 approximately?

Back

The approximate value of √2 is 1.414.

Front

What is the significance of irrational numbers in mathematics?

Back

Irrational numbers are significant because they help in understanding the complete number line, including lengths, areas, and other measurements that cannot be expressed as simple fractions.