Part 1 Classifying Rational Numbers Solutions

Categories of Rational Numbers

Use the information found in the Categories of Rational Numbers tabs to complete the table below.

Category Definition Examples Non-Examples
Natural Numbers

Natural numbers are the positive whole integers. Natural numbers do not include 0. These are the numbers you use to count objects.

1, 2, 3...599, 600, 601...1,110;  1,111;  1,112... 1875.4978
Whole Numbers

Whole numbers begin with 0, and are positive integers. Whole numbers do not include negative numbers.

0, 1, 2, 3, 4, 5
983, 45, and 3,604
4.31 16 79
Integers

Integers include positive numbers, their negative opposites, and 0. Integers do not include decimals. Fractions are only integers if they can be simplified to have a denominator of 1.

1919 0 16.8700.95
Rational Numbers

Rational numbers can be written as the fraction or quotient of two integers. When the fraction is divided the quotient is a terminating decimal or a repeating decimal.

6 2491 0.666¯ π 0.648732...15.09854...
Real Numbers

Real numbers include all of the numbers you have learned so far.

Real numbers include all rational and irrational numbers. Rational and irrational numbers are subsets of real numbers.

810 63.451 119 π 1.41421.... Fictional numbers such as twoteenth or firty.

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