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.

Examples of Opposite Numbers

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

Solved Example on Opposite Numbers

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
Correct Answer: B
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.

Related Terms for Opposite Numbers

  • Absolute value
  • Number Line
  • Sign