AlgebraALGEBRAIC LAWSALGEBRAIC LAWSThis chapter covers the laws used for solving algebraic equations.EO 1.1 Given an equation, DETERMINE the governingalgebraic law from the following:a. Commutative lawb. Associative lawc. Distributive lawMost of the work in basic mathematics completed by DOE facility personnel involves realnumbers, as mentioned in the last section. As a result, one should be very familiar with the basiclaws that govern the use of real numbers. Most of these laws are covered under the general areacalled Algebra.AlgebraicLawsMany operations on real numbers are based on the commutative, associative, and distributivelaws. The effective use of these laws is important. These laws will be stated in written form aswell as algebraic form, where letters or symbols are used to represent an unknown number.The commutative laws indicate that numbers can be added or multiplied in any order.Commutative Law of Addition: a + b = b + aCommutative Law of Multiplication: a(b) = b(a)The associative laws state that in addition or multiplication, numbers can be grouped in anyorder.Associative Law of Addition: a+(b+c) = (a+b)+cAssociative Law of Multiplication: a(bc) = (ab)cThe distributive laws involve both addition and multiplication and state the following.Distributive law: a(b + c) = ab + acDistributive law: (a + b)c = ac + bcRev. 0 Page 1 MA-02

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