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TODAY IN ALGEBRA…
Warm Up
Learning Goal: 2.2 and 2.3 You will add and subtract integers
Independent Practice-No A.T.
MID CHAPTER 2 TEST!!!
WARM UP: You travel at 25 miles per hour. How far do you go after…
1. 1.5 hours 2. 2 hours 3. 2.5 hours
Given the following numbers:a) Order from LEAST to GREATESTb) Label each number as WHOLE, INTEGER, or RATIONAL
4. 5. 14,−0 .5 ,0.2 ,−2 −7 ,
47,1 .2 ,−2.8
−2 ,−0.5 ,0.2 ,14
−7 ,−2.8 ,47,1.2
I R R R I R R R
𝟑𝟕 .𝟓𝒎𝒊𝒍𝒆𝒔 𝟓𝟎𝒎𝒊𝒍𝒆𝒔 𝟔𝟐 .𝟓𝒎𝒊𝒍𝒆𝒔
2.2 and 2.3: ADDING AND SUBTRACTING INTEGERSSTEPS TO SUCCESSFUL ADDING AND SUBTRACTING INTEGERS:1. Change all “double signs”
into one sign. -different signs changes to subtraction -same signs changes to addition2. Signs of both numbers are: -different signs, then SUBTRACT and give the sign of the larger number -same signs, then ADD and keep the same sign*NOTE: signs are always attached to the number to the right
Example 1:
1.
2.
3.
4.
5.
6.
¿7−2
¿8−11
¿−1−4
¿18+7
¿−5+6
¿−12+4
¿𝟓
¿−𝟑
¿−𝟓
¿𝟐𝟓
¿𝟏
¿−𝟖
2.2 and 2.3: ADDING AND SUBTRACTING INTEGERSSTEPS TO SUCCESSFUL ADDING AND SUBTRACTING INTEGERS:1. Change all “double signs”
into one sign. -different signs changes to subtraction -same signs changes to addition2. Signs of both numbers are: -different signs, then SUBTRACT and give the sign of the larger number -same signs, then ADD and keep the same sign*NOTE: signs are always attached to the number to the right
Example 2: Temperature change
1.
2.
3.
2.1 and 2.3: ADDING AND SUBTRACTING FRACTIONSSTEPS TO SUCCESSFUL ADDING AND SUBTRACTING FRACTIONS:
Fractions need a COMMON DENOMINATOR to be added or subtracted!!!
1. Change all mixed fractions to improper fractions.
2. Create a common denominator.
3. Follow same steps of adding and subtracting integers.
Example 3: 1.
2.
3.
¿−47−17
¿−4−17¿−
𝟓𝟕
¿26+26¿2+26
¿46¿𝟐𝟑
¿−415
+615
¿−−4+615¿𝟐𝟏𝟓
2.1 and 2.3: ADDING AND SUBTRACTING WITH VARIABLESExample 4: Adding and Subtracting more than 2 integers 1.
2.
Example 5: Adding and Subtracting more than 2 integers with variables 1.
2.
HOMEWORK #1:
Pg. 77: 3-11, 32-35, 53Pg. 82: 3-29 odd, 42, 44