Sets and Subsets of Rational Numbers

Front

What is a rational number?

Back

Front

Are all whole numbers rational numbers?

Back

True. All whole numbers can be expressed as fractions with a denominator of 1, making them rational.

Front

What is the set of whole numbers?

Back

The set of whole numbers includes all non-negative integers: {0, 1, 2, 3, ...}.

Front

What is the set of integers?

Back

The set of integers includes all whole numbers and their negative counterparts: {..., -3, -2, -1, 0, 1, 2, 3, ...}.

Front

What is a subset?

Back

A subset is a set where all elements are also contained within another set.

Front

Is the number -3.6 a whole number?

Back

No, -3.6 is not a whole number; it is a rational number.

Front

Back

All of these are rational numbers; however, if classified incorrectly, it may depend on context.

Front

What are counting numbers?

Back

Counting numbers are the set of positive integers starting from 1: {1, 2, 3, ...}.

Front

What is the relationship between rational numbers and integers?

Back

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

Front

What is the set of natural numbers?

Back

Natural numbers are the set of positive integers starting from 1: {1, 2, 3, ...}.