Comparing Rational and Irrational Numbers Review

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 the number -17.5 rational or irrational?

Back

Rational, because it can be expressed as -35/2.

Front

Is the number \( \sqrt{4} \) rational or irrational?

Back

Rational, because \( \sqrt{4} = 2 \), which is an integer.

Front

What is the approximate value of \( \sqrt{8} \)?

Back

Approximately 2.83.

Front

Between which two integers does \( \sqrt{11} \) lie?

Back

Between 3 and 4.

Front

What is the value of \( \sqrt{7} \)?

Back

Approximately 2.6457513110645906, which is irrational.

Front

How can you determine if a number is rational?

Back

If it can be expressed as a fraction of two integers, it is rational.

Front

What is the symbol for 'less than'?

Back

<.

Front

What is the symbol for 'greater than'?

Back

>.