1 Skills to Enhance Learning GED Math
2 Relationship Among Numbers
Real Numbers Relationship Among Numbers β π π ,π
,π, π ππ , π Irrational Numbers Rational Numbers π
, π , β π 1/4 2/3 -15/8 Non-integers 14/15, Β½, 6.3 Integers -3, 0, 15 Negative Integers -10, -5, -206 Whole Numbers 0, 1, 2, 3, From: D.Franklin Wright, Introductory Algebra, p.6 Zero Natural Numbers 1, 5, 403
3 Positive and Negative Integers in the number line
Positive Integers < 1, 2, 3, 4, 5, β¦>Negative Integers < β¦.. -4, -3, -2, -1 >__________________________________________________ _ Zero Negative numbers Positive Numbers Note: A distance for corresponding points positive or negative is the same
4 Number Properties 1- Commutative of Addition β a + b = b + a
Commutative of Multiplication a . b = b . a 2- Associative of Addition β ( a + b) + c = a + ( b + c) Associative of Multiplication-- ( a . b ) . c = a . ( b . c ) 3β Distributive of Multiplication over Addition a ( b + c ) = a b+ a c 4β Additive Identity a + 0 = a Multiplicative Identity a . 1 = a 5β Closure- The addition of a + b results in a rational number 6β Inverseβ For each rational number there is one and only one βa such as a+(-a)=0 In multiplication the double negative results in a positive number. 7β Other propertiesβ Reflexive a = a Symmetric a = b b = a Transitive a = b b = c then a = c
5 Order of Operations PEMDAS-Please excuse my dear aunt Sally
P = Parenthesis E= Exponents M= Multiplication D = Division A= Addition and Subtraction Rules for Computations a)Compute within groups b) Multiply and Divide in order from left to right c) Add and subtract in order from left to right
6 Properties of Exponents