Algebra+Tips+from+All+of+Us

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Some rules and properties for Chapter 2:
> examples: –5+0=–5 and 0+5=5 > examples: 17+(-17)=0 and -17+17=0 a(b+c) =ab+ac (b+c)a=ba+ca a(b-c)=ab-ac (b-c)a=ba-ca
 * Identity Property of Addition: For every real number, n, n+0=n and 0+n=n
 * Inverse property of addition: For every real number, n, there is an additive inverse -n such that n + (-n)=0
 * Identity property of Multiplication: For every real number, n, 1(n)= n
 * Multiplication property of zero: For every real number, n, n(0)=0
 * Multiplication property of -1: For every real number, n, -1(n)= -n
 * Inverse property of multiplication: For every nonzero real number, a, there is a multiplication inverse 1/a such that a(1/a)=1.
 * Distributive property: For every real number, a,b,and c:
 * Communtative property of addition: For every real number a, and b, a+b=b+a
 * Communtative property of multiplication: For every real number a and b, a(b)= b(a)
 * Associative property of addition: For every real number a, b and c, (a+b)+c=a+ (b+c).
 * Associative property of multiplication: For every real number a, b, and c, [(a)(b)](c)=a[b(c)]
 * Probability Formula: P(event)= Number of favorable outcomes divided by number of possible outcomes
 * Probability of Complement Formula: P(event)+P(not event)=1; P(not event)=1-P(event)
 * Probability of two independent events: If A and B are independent events, P(A and B)=P(A)*P(B)
 * Probability of two dependent events: If A and B are dependent events, P(A and B)=P(A) * P(B after A)