The Algebra Teacher\'s Guide to Reteaching Essential Concepts and Skills

Name Date

WORKSHEET 1.13: CLASSIFYING COUNTING NUMBERS,

WHOLE NUMBERS, AND INTEGERS

-------------------------------------------------------------------------------------

Numbers can be classified into various groups. Three of the most important groups are

shown below:

• Counting numbers:These are the numbers we count with. Starting with 1, they continue
  forever by adding 1 to the previous number: 1, 2, 3, 4, 5,...


• Whole numbers:Zero and the counting numbers make up the whole numbers: 0, 1, 2, 3,
  4, 5,...


• Integers:Negative and positive whole numbers and zero make up the integers:
  ...−3,−2,−1, 0, 1, 2, 3,...
  Most numbers belong to more than one of the groups above. For example, 3 is a counting
  number, a whole number, and an integer. But− 3 is only an integer.
  DIRECTIONS: Classify the numbers below as counting numbers, whole numbers, and
  integers. Some numbers may be members of more than one group.

15 − 810 − 10

− 7 4 12 3 − 1

23 154 − 30 752 19

CHALLENGE:Give at least three examples of how negative numbers may

be used.

27

Copyright

©

2011 by Judith A. Muschla, Gary Robert Muschla, and Erin Muschla. All rights reserved.