What is Multiplication Property of Equality?

Updated: November 28, 2022
If two numbers are equal, then their product is also equal.
Detailed answer:

The Multiplication Property of Equality is a property that allows you to simplify an equation by combining like terms. It means that their product is also equivalent if two values are equal. This property is often used to solve equations. If you multiply each side of an equation by the same number, the two sides will remain identical. In other words, this can be used to simplify equations or to help isolate a variable.
We can use the Multiplication Property of Equality to divide each side of an equation by the same number. If you divide both sides by a negative number, everything on both sides must change sign; if you divide both sides by a positive number, everything on both sides must change sign; if you divide both sides by 0, nothing changes (because 0 * anything = 0).
Also, this can be used to solve for a variable being multiplied by a number. Let’s say we have the equation 2*x=12. This means that x=6, which means that x was multiplied by 2, and then we added 6 more onto it. We could also rewrite this as (2x) + 6 = 12 so that we can solve for x by using the multiplication property of equality above.
This is an essential property to know and understand in algebra.

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