Division Principle Worksheets

What is the Division principle of Algebra? In Algebra, the principle of division is almost the same as that of the numerals. However, there are a few minor differences. The constant part of an algebraic expression or a term is solved exactly in the manner as they are solved in an arithmetic expression. However, the variable and exponential parts of an algebraic expression or a term are solved a bit differently. Here we discuss the division principle of algebra and that how two algebraic terms are divided. First, we need to keep in mind that any two terms in algebra can be divided. But if those terms differ in their variables and exponents, then only the constant parts are divided. The dealing of division in the constant part of an algebraic term or expression is the same as that of the numerals. We simply divide both the numbers. Whereas, in the variable part, we first see if both the variables are the same, hence making both those terms, like terms. In algebra, variables of only like terms can be divided. For example, x can be divided just by x. Similarly, y can be divided just by y. The method of division of variable states that their exponents get subtracted by each other, and in the answer, they are written just once. The exponent becomes the answer to the subtraction that was done in the previous step. This is the division principle of Algebra.

Both Sides

"What you do to one side, you must do to the other." What does the equal sign mean? It says that some quantity or expression on one side of the equal sign is equivalent to the other side. This is what algebra is all about.