Compare & Order 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

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

Back

A number is rational if it can be expressed as a fraction (e.g., 1/2, 3, -4). A number is irrational if it cannot be expressed as a fraction (e.g., √2, π).

Front

What is the square root of 12? Is it rational or irrational?

Back

The square root of 12 is approximately 3.464, which is an irrational number.

Front

What is the square root of 46? Is it rational or irrational?

Back

The square root of 46 is approximately 6.782, which is an irrational number.

Front

What is the square root of 38? Is it rational or irrational?

Back

The square root of 38 is approximately 6.164, which is an irrational number.

Front

What is the square root of 125? Is it rational or irrational?

Back

The square root of 125 is approximately 11.180, which is an irrational number.

Front

What is the square root of 90? Is it rational or irrational?

Back

The square root of 90 is approximately 9.487, which is an irrational number.

Front

How do you compare two square roots?

Back

To compare two square roots, you can calculate their approximate decimal values or square both numbers to compare their original values.

Front

What is the approximate value of √12?

Back

The approximate value of √12 is 3.464.