warm up. test!!!! over the first 9 lessons on tuesday 8/26
TRANSCRIPT
Warm Up
-6 + 5 =
-7 – (-0.9) =
- (-3) =
TEST!!!!
Over the first 9 lessons on Tuesday 8/26
Lesson 8/9: Applying the Properties of Operations to Add and Subtract Rational Numbers
Objective:I can apply properties of operations as strategies to add and subtract rational numbers.
“The opposite of a sum is the sum of its opposites.”
-7 2 -5 5
7 -2 5
Exercise 1 -Give it a Team Try!
2 ⅖ = 2 + ⅖ -2 ⅖ = -2 + (-⅖)
The opposite of 2 ⅖ is - 2 ⅖ or -2 + (-⅖) !
Example 1
Exercise 2Rewrite each mixed number as the sum of two signed numbers.
Exercise 3Represent each sum as a mixed number
Definitions and Concepts“The opposite of a sum is the sum of its opposites.”
-(9 + 4) = -9 + -4
-(10 + ½) = -10 + (- ½)
Commutative Property of AdditionOrder of addition does not matter.
5 + 8 = 8 + 5
3 + -7 = -7 + 3
Associative Property of AdditionChanging the order of the grouping does not change the sum.
(2 + 5) + 8 = 2 + (5 + 8)
Example 2 – Why this comes in handy
Step 1: Change subtraction to addition
Step 2: Commutative Property of Add.
Step 3: Opposite of a sum is the sum of its opposites
Step 4: Commutative Property of Addition
Step 5: Add the fractions
Step 6-8: Apply the order of operations.
Example 3:
Exercise 1 – Remember….give it a Personal Try!
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