Concept

Multiplication and Division Properties of Equality

The Multiplication Property of Equality states that multiplying each side of an equation by the same number yields an equivalent equation.

If then

Similarly, by the Division Property of Equality, an equivalent equation is produced when each side of an equation is divided by the same non-zero number.

If and then

These two properties can be used when solving equations to eliminate denominators and factors, since multiplication is the inverse operation of division and vice versa.

Misc Multiplication and Division Property of Equality 1.svg
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