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by: Sydney

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# Math 101 in class notes Week 1 MTH 101

Marketplace > Saint Martin's University > Math > MTH 101 > Math 101 in class notes Week 1
Sydney

GPA 3.7

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These notes go over the properties and definitions we learned in class, but do not usually have examples of problems.
COURSE
Intermediate Algebra
PROF.
Professor Kyle Smith
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
Math, Intermediate, Algebra
KARMA
Free

## Popular in Math

This 2 page Class Notes was uploaded by Sydney on Friday September 2, 2016. The Class Notes belongs to MTH 101 at Saint Martin's University taught by Professor Kyle Smith in Fall 2016. Since its upload, it has received 11 views. For similar materials see Intermediate Algebra in Math at Saint Martin's University.

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Date Created: 09/02/16
Math notes week 1. 1.1­1.5    1.1 ​Types of Numbers  ℕ­ Natural number 1,2,3...∞  ????­ Whole numbers 0,1,2,3...∞  I­ integers ­2,­1,0,1,2,3...∞  ℚ­ Rational numbers ­2,­1,0,⅔,1, 1.75        Irrational numbers­ ????, √​2  Equality vs. Inequality  =,≠, >,<, ​​ ​, ≅,     1.2  Mean​­ Add all up divide by number of inputs  Median​­ When numbers are from smallest to largest quantity, the one in the middle, if even  number of inputs, then take the average of the middle two.   Mode​­ The input that appears the most.   Additive identity: X+0=X  Additive inverse: a+(­a)=0  Multiplicative identity: a​∙​1=a  Multiplicative inverse a​∙​1/a=1  ­(­a)=a    1.3  Natural Number Exponents  2 = 2​∙​​ ​ ​  ∙2 −n n n X X = Xn m+n                ( ) = ( ) ​   hen you can distribute the n to make  (Y n)   Y X X X −n = 1n  X (X ) = X m∙n   m ( X ) = xm   m m−nY Xn =X   X0 X = 1    1.5 ​Equations  Equivalent equations​­ Equations with same solution set.   Add/Subtract/Multiply/Divide property of equality:  If A=B then:​ a+x=b+x or a­x=b­x or  a = b ​ r ​ ​x=b​​   x x A linear equation in 1 variable is any equation that can be written ax+c=0    Identity equations​: The answer will equal something were the solution set is all real numbers for  example: 0=0 or 6=6 where multiple x values will satisfy the equation    Contradiction equations​: The answer simplifies down to something that is impossible where the  X variables are the same on either side, but the constant is different. This means there is no  solution.

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