Math 1350 - Mestayer
Section 5.1 Addition and Subtraction of Integers
lntegerscfw_.,'4,'3,'2 '1, 0, 1, 2, 3, 4,. .
0 We use a raise "- " sign for negative integers so that they look different than a subtraction.
o The negative integers are opposites of th
Math 1350 Mestayer
Section 2.3 - Other Set Operations and Their Properties
Intersection of two sets A and B written An 3, set of all elements in common to both A and B
AnB=cfw_x|xeAandxeB Whal do llhggQ-II-e. hat/e l
anal (2) '7
Example: Find A03 for each
Math 1350 - Mestayer
Section 3.2 - Addition and Subtraction of Whole Numbers
Set of Whole Numbers
W = cfw_0, 1, 2, 3, 4, 5, .
Addition of Whole Numbers
Addends - numbers being added together, Sum - solution after adding
SetModel Li +3); 7
Eli] Jr 1:; DUDg
Math 1350 - Mestayer
Section 1.2 - Explorations with Patterns
Example: Find three more terms to continue the pattern. Then describe in words how the pattern
found.
O,A,A, O,A,A, 0.45.,A,_C2
Inductive vs. Deductive Reasoning
Inductive Reasoning - making ge
Math 1350 - Mestayer
Section 4.1 Divisibility
Different ways divisibility can be stated
15 is divisible by 3
3 is a divisor of 15
15 is a multiple of 3
3 is a factor of 15
3 divides 15
3 divides 15" can also be written 3 [15
Denition of "Divides If a and
Math 1350 - Mestayer
Section 3.4 - Addition and Subtraction Algorithms
Algorithm systematic procedure
Addition Algorithms
1. Concrete Model - use base ten blocks or other manipulatives
Example: 14 + 23 =
: x H; : \H;
l I Example:186+127=
2. Lattice Al
Math 1350 Mestayer
5.2 - Multiplication and Division of Integers
Integer Multiplication
Chip Model for Multiplication- M&Ms positive integers are represented by green M&Ms and
negative integers are represented by red M&Ms '
Example. 2( 4) (ESTOUQS Qg -L_l
Math 1350 Mestayer
Section 3.3 - Multiplication and Division of Whole Numbers
Multiplication of Whole Numbers
Factors number being multiplied together, Product solution after multiplying
1. Repeated Addition Model - For every whole number a and n a: 0, n
Name
Math 1350 - Mestayer
Sec 4.2 and 4.3 Practice
1. Is 153 a prime or composite number?
WW5 2 Iago. \w/
zaoflu (905
Find the prime factorizations of the following numbers.
2. 350 3. 140 l Li 0
/\
l q l 0
A l/\@
9 n9: 5 , [l
Use the prime factorization
Math 1350 - Mestayer
3.1 - Numeration Systems
Numeration System - collection of properties and symbols agreed upon to represent number
systematically
. "1 '77 V?" VI" 7"
Babylonian "Y 71" n Y" Y" "n 7!" <
m lll rm am '13
Egyptian ill I"! u m m nu m
Hindu-
Math 1350 - Mestayer
Section 2.2 Describing Sets
Sets any collection of objects
Elements individual objects in a set, also called members
A few generalizations
1. Sets are named with capital letters
2. Elements are listed inside a pair of braces cfw_
3.