Classifying Real 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; its decimal representation goes on forever without repeating.

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

Front

What is a whole number?

Back

A whole number is a non-negative integer, which includes zero and all positive integers.

Front

How would you classify the number 0.5?

Back

0.5 is classified as a rational number.

Front

How would you classify the number √2?

Back

√2 is classified as an irrational number.

Front

What is the classification of the number -3?

Back

-3 is classified as an integer and a rational number.

Front

Is every integer a rational number?

Back

Yes, every integer is a rational number because it can be expressed as a fraction with a denominator of 1.

Front

What is the best classification for the number 1.333... (1.3 repeating)?

Back

1.333... is classified as a rational number.

Front

What is the classification of the number π (pi)?

Back

π is classified as an irrational number.