Sec P 1 cont Law of Trichotomy For
- Slides: 10
Sec, P. 1 cont.
Law of Trichotomy • For any 2 numbers, a and b • a = b, a < b, or a >b
Absolute Value • The distance a number is from 0 on the number line • What is |0|?
Abs. Value Properties n n n |ab| = |a||b| |a/b| =|a|/|b| b ≠ 0 Remember on abs. val. Do what is inside the abs. first.
The distance between a & b n d(a, b) = |b-a| = |a-b|
n Algebraic expressions n n Terms n n Does not contain a variable Coefficient n n Terms that contains a variable Constant term n n Separated by addition Variable terms n n Uses variables with numbers Numerical part of a term Evaluate n Means substitute a # for the variable
Operations o Primary operations n Addition and multiplication o Inverse operations n Subtraction and division
o P. 9 at top o P. 9 rules of Algebra o P. 10 Properties of negation and equality o P. 11 Properties of zero n #4&5 o P. 11 Properties of Fractions n Ex. 5
► Factors or Divisors § The numbers you multiply together to get something. ► Prime numbers § Number that the only factors are 1 and itself ► Composite numbers § Can be written as a product of 2 or more primes ► Fundamental Theorem of Arithmetic § Every positive number greater than 1 can be written as a product of primes in exactly 1 way
Homework ► P. 12 ► 51 -71 odd, 89 -93 odd, 99 -119 odd
