Classifying Rational 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 are the subsets of rational numbers?

Back

The subsets of rational numbers include natural numbers, whole numbers, integers, and fractions.

Front

What is the difference between whole numbers and integers?

Back

Whole numbers are non-negative integers (0, 1, 2, 3, ...), while integers include all whole numbers and their negative counterparts (..., -3, -2, -1, 0, 1, 2, 3, ...).

Front

Is the number 0 considered a whole number?

Back

Yes, 0 is considered a whole number.

Front

What is an example of a natural number?

Back

An example of a natural number is 5.

Front

Can a decimal be a rational number?

Back

Yes, a decimal can be a rational number if it can be expressed as a fraction. For example, 0.75 is a rational number because it can be written as 3/4.

Front

What is the relationship between integers and rational numbers?

Back

All integers are rational numbers because they can be expressed as a fraction with a denominator of 1.

Front

What is an example of a number that is not a whole number?

Back

An example of a number that is not a whole number is 3.5.

Front

How can you determine if a repeating decimal is a rational number?

Back

A repeating decimal is a rational number because it can be expressed as a fraction. For example, 0.2222... can be written as 2/9.

Front

What are natural numbers?

Back

Natural numbers are the set of positive counting numbers: 1, 2, 3, 4, ... and sometimes include 0.