Properties of Addition 2007 M Tallman Commutative Property Properties of Addition 2007 M Tallman The order of the addends does not change the sum 8 5 3 Commutative Property ID: 467830
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Slide1
© 2007 M. Tallman
Properties
of AdditionSlide2
© 2007 M. Tallman
Commutative Property
Properties of AdditionSlide3
© 2007 M. Tallman
The
order
of the addends does not change the sum.
8
5
3
+
=
Commutative Property
addends
sum
5 + 3
=
3 + 5
Order Does
Not Matter!Slide4
© 2007 M. Tallman
Commutative Property
Order Does
Not Matter!
=
5
+
3
8
8
=
3
+
5Slide5
© 2007 M. Tallman
5 + 3 =
j
+ 5
12 +
p
= 9 + 12
f
+ 73 = 73 + 8 6 + 42 = 42 + s
j = 3p = 9
f = 8s = 6
Commutative Property
Use the Commutative Property to find the value of the variable.Slide6
© 2007 M. Tallman
Commutative Property
Associative Property
Properties of AdditionSlide7
© 2007 M. Tallman
The way the addends are
grouped
does not change the sum.
In math,
parentheses
are used to group numbers. They tell us which part of the problem to solve first.
= 9
2
4
+
+
3
(
)
(3 + 2) + 4
=
3 + (2 + 4)
Associative Property
Grouping Does
Not Matter!Slide8
© 2007 M. Tallman
Associative Property
9
(
3
+
2
)
+
4
=
=
9
(
3
+
2
)
+
4
Grouping Does
Not Matter!Slide9
© 2007 M. Tallman
(9 + 2) + 8 =
w
+ (2 + 8)
(9 +
e
) + 6
= 9 + (14 + 6)
y + (67 + 5) = (21 + 67) + 5
15 + (4 + 2) = (15 + 4) + h
w = 9
e = 14y = 21h = 2
Use the Associative Property to find the value of the variable.
Associative PropertySlide10
© 2007 M. Tallman
Commutative Property
Associative Property
Identity Property
Properties of AdditionSlide11
© 2007 M. Tallman
The sum of any number and
0
equals the number.
11 + 0 = 11
Identity PropertySlide12
© 2007 M. Tallman
Identity Property
=
11
+
0
11Slide13
© 2007 M. Tallman
Use the Identity Property to find the value of the variable.
Identity Property
3 + 0 =
u
18 +
b
= 18
z
+ 67 = 67
89 = 0 + s
u = 3b = 0z = 0s = 89Slide14
© 2007 M. Tallman
Your Turn!Slide15
© 2007 M. Tallman
9 + 7 = 7 + 9
Commutative
Property
Order Does
Not Matter!
Identify the PropertySlide16
© 2007 M. Tallman
2 + (6 + 8) = (2 + 6) + 8
Associative
Property
Grouping Does
Not Matter!
Identify the PropertySlide17
© 2007 M. Tallman
17 + 0 = 17
Identity
Property
Identify the PropertySlide18
© 2007 M. Tallman
(10 + 4) + 5 = 10 + (4 + 5)
Associative
Property
Grouping Does
Not Matter!
Identify the PropertySlide19
© 2007 M. Tallman
3 + 0 = 3
Identity
Property
Identify the PropertySlide20
© 2007 M. Tallman
19 + 5 = 5 + 19
Commutative
Property
Order Does
Not Matter!
Identify the PropertySlide21
© 2007 M. Tallman
6 + 9 = 9 + 6
Commutative
Property
Order Does
Not Matter!
Identify the PropertySlide22
© 2007 M. Tallman
3 + (5 + 6) = (3 + 5) + 6
Associative
Property
Grouping Does
Not Matter!
Identify the PropertySlide23
© 2007 M. Tallman
0 + 345 = 345
Identity
Property
Identify the Property