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Division Property of Equality

Definition of Division Property of Equality

Division Property of Equality states that dividing both sides of an equation by a non-zero number doesn't affect the equation
If a, b and c are any three real numbers such that a = b and c ≠ 0 then the division property of equality is a / c = b / c

Examples of Division Property of Equality

5p = 15
By dividing both sides of the equation by 5, we get p = 3.
Substituting p = 3 in the original equation will help us check the division property of equality.
5 x 3 = 15, it's true!


Video Examples: What's the Division Property of Equality?


Solved Example on Division Property of Equality

Solve - 3x = 12 using division property of equality.

Choices:
  • A. - 4
  • B. 3
  • C. 12
  • D. 36

Correct Answer: A

Solution:

  • Step 1: - 3x = 12
  • Step 2:  example of  Division Property of Equality [Apply division property of equality.]

The area of a rectangular plot is 180 sq ft. If its length is 15 ft then what is its width?

Choices:
  • A. - 4
  • B. 3
  • C. 12
  • D. 36

Correct Answer: A

Solution:

  • Step 1: Given area of the rectangular plot = 180 sq. ft
  • Step 2: We know that, area of rectangle = l x w
  • Step 3: So, l x w =180
  • Step 4: 15 x w =180 [Substituting l = 15]
  • Step 5: 15w / 15 = 180 / 15 [Dividing both sides by 15]
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