STEM Excellence Series: Empowering the Next Generation
INTEGER
Integer
Definition Of Integer
Integers are the set of whole numbers and their opposites.
{. . . -3, -2, -1, 0, 1, 2, 3 . . . } is the set of integers.
Video Examples: What are Integers?
Example of Integer
Following are some examples of integers.
-12,315
733,751
-10
121
Solved Example on Integer
Ques: Which of these sets orders the integers 25, -5, -15, 0, -30, 15 from least to greatest?
Choices:
A. 0, - 5, - 15, - 30, 15, 25
B. - 30, - 15, - 5, 0, 15, 25
C. 15, 25, 0, - 30, - 15, - 5
D. 25, 15, 0, - 30, - 15, - 5
Correct Answer: B
Solution:
Step 1: Represent the integers on a number line as shown below.
Step 2: On a number line, the numbers increase in value from left to right.
Step 3: The order of the integers from the least to the greatest is
- 30, - 15, - 5, 0, 15, and 25.
Quick Summary
Integers include positive and negative whole numbers, and zero.
Integers can be represented on a number line.
Integers are used in various mathematical operations and real-world applications.
Use a number line to visually represent integers. Emphasize the concept of opposites and the ordering of negative numbers. Relate integers to real-world scenarios like temperature or bank balances.
🎓 Prerequisites
Whole Numbers
Number Line
Basic Arithmetic Operations
Check Your Knowledge
Q1: Which of the following is an integer?
Q2: Order the following integers from least to greatest: -3, 0, -5, 2
Frequently Asked Questions
Q: Is zero an integer? A: Yes, zero is an integer. It is neither positive nor negative.
Q: Are fractions integers? A: No, fractions are not integers. Integers are whole numbers and their opposites.