Multiplication Property of Equality
You can multiply both sides of an equation by the same thing
The Multiplication Property of Equality is a mathematical principle that states that if we multiply or divide both sides of an equation by the same number, the equation will remain true. In other words, if a = b, then we can multiply both sides by the same number c, and we will still have an equation that is true: ac = bc.
For example, let’s consider the equation 2x = 10. We can use the Multiplication Property of Equality to solve for x by dividing both sides of the equation by 2. This gives us:
2x/2 = 10/2
x = 5
We know that this solution is correct because if we substitute x = 5 back into the original equation, we get:
2(5) = 10
This is a true statement, which confirms that our solution is correct.
It is important to note that the Multiplication Property of Equality works when we multiply or divide by a non-zero number. If we try to divide by 0, the equation becomes undefined and the principle no longer applies. Additionally, when dealing with variables or unknowns in equations, we must ensure that we are not multiplying or dividing by a variable that could be equal to 0, which could also lead to an undefined equation.
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