Division Property of Equality
The Division Property of Equality is a fundamental property in algebra that states that if you divide both sides of an equation by the same non-zero number, the equation remains true
The Division Property of Equality is a fundamental property in algebra that states that if you divide both sides of an equation by the same non-zero number, the equation remains true. In other words, if a = b, then a divided by c is equal to b divided by c, as long as c is not equal to zero.
Mathematically, the Division Property of Equality can be stated as follows:
If a = b and c is a non-zero number, then a/c = b/c.
This property allows us to simplify equations and solve for unknown variables. By dividing both sides of an equation by the same number, we can isolate the variable we’re interested in and find its value.
Here’s an example to illustrate the Division Property of Equality:
Suppose we have the equation 2x = 10. We want to solve for x.
To isolate x, we can use the Division Property of Equality and divide both sides of the equation by 2:
(2x)/2 = 10/2
This simplifies to:
x = 5
By dividing both sides of the equation by 2, we were able to solve for the unknown variable x and find that its value is 5.
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