NEGATIVE INTEGER
Definition Of Negative Integer
A number which is less than zero but not a fraction or a decimal is called a Negative Integer.
More About Negative Integer
The negative integers are commonly denoted as Z.
It is represented by putting '-' sign before the number.
For each positive integer, there is a negative integer, and these integers are called opposites
It is shown to the left of zero on a number line.
Video Examples: Positive and Negative Integer Exponents
Examples of Negative Integer
In the number line shown above, the negative integers are - 1, - 2, - 3, - 4, - 5, - 6, - 7, - 8, and so on
Suppose a man gained $700 in one transaction and lost $1050 in another transaction. Then, overall he made $- 350 where '+' sign indicates profit and '-' sign indicates loss.
The value of the temperature 8 degrees below zero is - 8 degrees
Solved Example on Negative Integer
Ques: Identify the number line that has an arrow indicating the location of negative integer - 3.
Choices:
A. Number line 4
B. Number line 3
C. Number line 2
D. Number line 1
Correct Answer: A
Solution:
Step 1: The integer - 3 is located 3 units to the left of zero.
Step 2: Move 3 units to the left of zero to indicate - 3 by an arrow as shown in number line 4.
Step 3: Number line 4 is the number line that has an arrow indicating the location of - 3.
Quick Summary
- Negative integers are less than zero.
- They are represented with a '-' sign.
- They are located to the left of zero on the number line.
- For every positive integer, there is a corresponding negative integer (its opposite).
🍎 Teacher Insights
Use real-world examples like temperature below zero, debt, or elevation below sea level to illustrate negative integers. Emphasize the relationship between positive and negative integers as opposites.🎓 Prerequisites
- Integers
- Number Line
- Positive Integers
- Zero
Check Your Knowledge
Q1: Which of the following is a negative integer?
Q2: Which direction on the number line do negative integers extend?
Frequently Asked Questions
Q: Is zero a negative integer?
A: No, zero is neither positive nor negative. It is an integer, but it does not have a sign.
Q: Are all numbers less than zero negative integers?
A: No, only whole numbers less than zero are negative integers. For example, -0.5 is less than zero, but it's not a negative integer, it's a negative decimal.