Classifying Real Numbers

Front

What is a real number?

Back

A real number is any number that can be found on the number line, including both rational and irrational numbers.

Front

Define a rational number.

Back

A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b 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 is non-terminating and non-repeating.

Front

Classify the number -12.

Back

-12 is a real number, rational number, and an integer.

Front

What type of number is ⅚?

Back

⅚ is a real number and a rational number.

Front

What is a whole number?

Back

Whole numbers are non-negative integers, including 0 (0, 1, 2, 3, ...).

Front

Is 8 a rational number?

Back

Yes, 8 is a rational number because it can be expressed as 8/1.

Front

What is a non-terminating decimal?

Back

A non-terminating decimal is a decimal that goes on forever without repeating.

Front

Classify the number 2.5.

Back

2.5 is a real number and a rational number.

Front

What is the difference between integers and whole numbers?

Back

Integers include all whole numbers and their negative counterparts, while whole numbers only include non-negative numbers.