Comparing and ordering 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 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 do you compare two rational numbers?

Back

To compare two rational numbers, convert them to a common denominator or convert them to decimal form and then compare their values.

Front

What is the square root of a number?

Back

The square root of a number is a value that, when multiplied by itself, gives the original number.

Front

Is √9 a rational or irrational number?

Back

Rational, because √9 = 3, which is an integer.

Front

Is √2 a rational or irrational number?

Back

Irrational, because it cannot be expressed as a fraction of two integers.

Front

What is the approximate value of √8?

Back

Approximately 2.83.

Front

Between which two whole numbers is √50?

Back

7 and 8.

Front

How do you determine if a number is rational?

Back

A number is rational if it can be expressed as a fraction a/b, where a and b are integers and b ≠ 0.

Front

What is the value of -3.4 compared to -2.5?

Back

-3.4 < -2.5.