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17 (917) (Properties) Simplify Expressions.notebook
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September 17, 2012
1) 11+9-15-4 = 2) 21 ÷ 3 + (52 - 13)=Warmup 9-17 NO calculator & SHOW WORK !!!
3) 6 + 9 ÷ 3 • 10 = 4) 24 + 8 ÷ 2 =
5) 3 • 4 + 5 • 22 = 6) 6 x 6 + 18 ÷ 3 =
7) 29 - 19 = 8) (1 + 3)2 • (8 - 6)= 3 + 2
1) 11+9-15-4 = 2) 21 ÷ 3 + (52 - 13)=Warmup 9-17 NO calculator & SHOW WORK !!!
3) 6 + 9 ÷ 3 • 10 = 4) 24 + 8 ÷ 2 =
5) 3 • 4 + 5 • 22 = 6) 6 x 6 + 18 ÷ 3 =
9) 29 - 19 = 10) (1 + 3)2 • (8 - 6)= 3 + 2
17 (917) (Properties) Simplify Expressions.notebook
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September 17, 2012
Homework 9-14 SHOW ALL WORK!!!!pg 43: 2-22 even
Homework 9-14SHOW ALL WORK!!!!pg 43: 2-22 even
17 (917) (Properties) Simplify Expressions.notebook
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September 17, 2012
Properties 1-7 pg 46Objective• Learn how to identify properties of real numbers and later use them to simplify numerical expressions
9-17-12
Properties 1-7 pg 46
17 (917) (Properties) Simplify Expressions.notebook
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September 17, 2012Fill-in-the-blank notes
1-7 pg 46
PROPERTIES
v COMMUTATIVE PROPERTY OF ADDITION:adding order does not matter: Ø 5 + 6 = 6 + 5
v COMMUTATIVE PROPERTY OF MULTIPLICATION multiplying order does not matter Ø 5 X 6 = 6 X 5
v ASSOCIATIVE PROPERTY OF ADDTION: grouping does not matter when you are doing only additionØ 7 + (8 + 9) = (7 + 8) +9
v ASSOCIATIVE PROPERTY OF MULTIPLICATION: grouping does not matter when doing only multiplication.Ø 2 X (3 X 4) = (2 X 3) X 4
v IDENTITY PROPERTY OF ADDTION: adding zero to a number does not change its value.Ø 5 + 0 = 5
v IDENTITY PROPERTY OF MULTIPLICATION: multiplying a number by one does not change its value.Ø 4 X 1 = 4
vMULTIPLICATIVE PROPERTY OF ZERO: when you multiply any number by zero the product is zero.Ø 34 X 0 = 0
v DISTRIBUTIVE PROPERTY: The sum of two addends multiplied by a number is the same as the sum of product of each addend and the number.Ø 2(5 + 4) = 2(5) + 2(4)Ø 7(1) + 7(3) = 7(1 + 3)
17 (917) (Properties) Simplify Expressions.notebook
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September 17, 2012
pg 47
1) 6(5 + 7) = 6(___) + 6(___)
2) 5(3) + 5(2) = 5(3 + ___)
3) 8(2) + 8(6) = ___(2 + 6)
4) 3(5 2) = 3(__) ___ ___(2)
5) 7(n + s) = 7(___) + 7(___)
REWRITE AS THE DISTRIBUTIVE PROPERTY:
6) 6(3) + 6(7)
7) 5(8) 5(2)
8) 4(a) 4(n)
9) 8(5) + 8(.3)
10) 3(5.2)
REWRITE SHOWING MULTIPLICATION USING THE DISTRIBUTIVE PROPERTYTHEN SOLVE:
11) 6(3 + 5)
12) 4(8 + 2)
13) 7(4 1)
14) 4(3 + .5)
15) a(b + w)
4(8 + 3) =
5(6 4) =
a(b + c) =
17 (917) (Properties) Simplify Expressions.notebook
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September 17, 2012
Name the property300 + 0 = 300___________________
3 • 2 = 2 • 3 ___________________
96 + 4 = 4 + 96__________________
1 • y = y _____________________________
x + y = y + x____________________
0 • 8 = 0_______________________________
1. (6 • 3) • 4 = 6 • (3 • 4)___________________
2. 0 + 36 = 36____________________________
3. 2115 = 2115 + 0________________________
4. 20 + (12 + 2) = (20 + 12) + 2_____________
5. 75 + 25 = 25 + 75______________________
6. xy = yx_______________________________
7. x + (y + z) = (x + y) + z__________________
8. y + 0 = y______________________________
9. 7 • 1 = 7______________________________
10. 76 x 13 = 13 x 76______________________
11. x + y = y + x_________________________
12. (3 + 7) + 6 = 3 + (7 + 6)________________
13. x(yz) = (xy)z_________________________
14. 42 • 0 = 0____________________________
15. 27 + 45 = 45 + 27_____________________
more examples
17 (917) (Properties) Simplify Expressions.notebook
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September 17, 2012Classwork 929
Name the Property Shown
1) 4 + (9 + 6) = (4 + 9) + 6
2) x + 12 = 12 + x
3) (3 + y) + 0 = 3 + y
4) (x + y) + z = x + (y + z)
5) (15 + x) + 2 = 2 + (15 + x)
6) x 1 = x
7) 14xy = 14yx
8) (3 + 5) + c = 3 + (5 + c)
9) (2 5) 0 = 0
10) 6 (8 + c) = (8 + c) 6
WKST Practice 4
17 (917) (Properties) Simplify Expressions.notebook
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September 17, 2012
11) 6 (4 3) = (6 4) 3
12) (3 9) 1 = 3 9
13) (a + b) + c = a + (b + c)
14) (x + y) 5 = (y + x) 5
15) ab + 0 = ab
16) a b = b a
17) (x y) z = x (y z)
18) (7 3) 5 = 7 (3 5)
19) (2 + x) 0 = 0
20) (8 + 5) + 3 = 3 + (8 + 5)
21) (a + b) 1 = a + b
extra slide
17 (917) (Properties) Simplify Expressions.notebook
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September 17, 2012
extra slide
1) 300 + 0 = 3002) 96 + 4 = 4 + 963) 4 5 = 5 44) (2 3) 4 = 2 (3 4)5) 23 1 = 236) 0 7 = 07) (8 + 6) + 4 = 8 + (6 + 4)8) 89 + 0 = 899) 4(3 7) = 4(7 3)10) 7 + 0 = 7
Classwork Name the Property
11) (20 + a) + 5 = 5 + (20 + a)12) 35ab = 35ba13) 7 (9 + x) = (9 + x) 7
17 (917) (Properties) Simplify Expressions.notebook
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September 17, 2012Homework 917
WKST - Practice Properties
Answers1) Associative, +2) Commutative, +3) Identity, +4) Assoc, +5) Commut, +6) Identity, X7) Commut, X8) Assoc, +9) Multiplic. Prop Zero10) Comm X11) Assoc X
12) Identity, X13) Commut, +14) Commut, +15) Identity, +16) Commut, X17) Assoc, X18) Assoc, X19) Multiplic. Prop Zero20) Commut, +21) Ident, X
