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OPPOSITE NUMBERS

Opposite Numbers

Definition Of Opposite Numbers

Two numbers that have the same magnitude but are opposite in signs are called Opposite Numbers.

More About Opposite Numbers

When opposite numbers are added, it gives zero.
To get the opposite of a number, change the sign.
The absolute values of opposite numbers are the same.
The opposite numbers are equidistant from 0 on a number line

Example of Opposite Numbers

+ 25 and - 25 are the opposite numbers.
- 8 is the opposite number of + 8.

Video Examples: How to Find the Opposite of a Number

Solved Example on Opposite Numbers

Ques: Identify the opposite of 6 and represent it on a number line.

Choices:

A. + 6, Figure 1
B. - 6, Figure 2
C. ± 6, Figure 3
D. None of the above

Solution:

Step 1: Opposite of 6 is - 6. [To get the opposite, change the sign of the number.]
Step 2: Negative numbers will be to the left of 0 and positive numbers will be to the right of 0 on the number line.
Step 3: As - 6 is negative number, it will be 6 units to the left of 0 on the number line.
Step 4: So, figure 2 represents - 6.

Quick Summary

  • Opposite numbers have the same absolute value.
  • The sum of opposite numbers is zero.
  • Opposite numbers are equidistant from 0 on a number line.
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🍎 Teacher Insights

Use a number line to visually demonstrate opposite numbers and their relationship to zero.

🎓 Prerequisites

  • Integers
  • Number Line
  • Positive and Negative Signs

Check Your Knowledge

Q1: What is the opposite of 7?

Q2: What is the opposite of -12?

Frequently Asked Questions

Q: What is the opposite of 0?
A: The opposite of 0 is 0.

Q: How do you find the opposite of a number?
A: Change the sign of the number. If it's positive, make it negative, and vice versa.

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