Multiplication Principle Worksheets

What is the Multiplication Principle of Algebra? When you are solving algebraic problems, you are mostly asked to find the values of the unknown variable. However, there are times when there is a coefficient attached to the concerned variable of the problem. In such circumstances, we use the multiplication principle of algebra. The multiplication principle states that to remove the coefficient from the equation or the concerned variable, you have to multiply both sides of the equation by the multiplication inverse of the coefficients or in other words, divide both sides by the same value. Let's take a few examples. 5x = 25. Now, the multiplication inverse of 5 is ⅕ , so you can multiply the whole equation by it. ⅕ 5x = 25 ⅕, x=5, 6/5 x=18 The multiplication inverse of 6/5 is ⅚. Therefore, we'll multiply the whole equation by it. ⅚ × 6/5 x = ⅚ × 18 x=15.