properties of addition

Properties of Addition
Worksheet 1
The commutative property of addition is the rule which states that the
order in which the numbers of an expression are combined does not
affect the outcome.
Example: 3 + 5 = 5 + 3
The associative property of addition is the rule which states that the
grouping of numbers in an expression does not affect the outcome.
Example: ( 3 + 5 ) + 7 = 3 + ( 5 + 7 )
Which equation shows the commutative property of addition?

c ( 3 + 4 ) + 3 = 3 + ( 4 + 3 ) 2. c 9 + 4 = 4 + 9
c 7 + 3 = 3 + 7 c 9 + 4 = 13
c 7 + 3 = 10 c 13 = 9 + 4
c 10 = 7 + 3 c ( 5 + 4 ) + 4 = 5 + ( 4 + 4 )

c 8 + 5 = 13 4. c 8 = 6 + 2
c 13 = 8 + 5 c ( 2 + 4 ) + 2 = 2 + ( 4 + 2 )
c ( 6 + 2 ) + 5 = 6 + ( 2 + 5 ) c 6 + 2 = 2 + 6
c 8 + 5 = 5 + 8 c 6 + 2 = 8
Which equation shows the associative property of addition?

c 10 = 6 + 4 6. c ( 3 + 2 ) + 7 = 3 + ( 2 + 7 )
c ( 5 + 1 ) + 4 = 5 + ( 1 + 4 ) c 5 + 7 = 7 + 5
c 6 + 4 = 4 + 6 c 5 + 7 = 12
c 6 + 4 = 10 c 12 = 5 + 7

c 9 + 6 = 6 + 9 8. c 8 + 3 = 11
c 9 + 6 = 15 c 11 = 8 + 3
c 15 = 9 + 6 c ( 2 + 6 ) + 3 = 2 + ( 6 + 3 )
c ( 7 + 2 ) + 6 = 7 + ( 2 + 6 ) c 8 + 3 = 3 + 8
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Properties of Addition Worksheet 2
Commutative and associative properties
3001b
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Properties of Addition
Worksheet 2
The commutative property of addition is the rule which states that the
order in which the numbers of an expression are combined does not
affect the outcome.
Example: 3 + 5 = 5 + 3
The associative property of addition is the rule which states that the
grouping of numbers in an expression does not affect the outcome.
Example: ( 3 + 5 ) + 7 = 3 + ( 5 + 7 )
Which equation shows the commutative property of addition?

c ( 25 + 5 ) + 8 = 25 + ( 5 + 8 ) 2. c 18 + 7 = 7 + 18
c 25 + 5 = 5 + 25 c 18 + 7 = 25
c 25 + 5 = 30 c 25 = 18 + 7
c 30 = 25 + 5 c ( 9 + 9 ) + 7 = 9 + ( 9 + 7 )

c 14 + 9 = 23 4. c 32 = 15 + 17
c 23 = 14 + 9 c ( 9 + 6 ) + 17 = 9 + ( 6 + 17 )
c ( 7 + 7 ) + 9 = 7 + ( 7 + 9 ) c 15 + 17 = 17 + 15
c 14 + 9 = 9 + 14 c 15 + 17 = 32
Which equation shows the associative property of addition?

c 28 = 13 + 15 6. c ( 10 + 9 ) + 8 = 10 + ( 9+ 8 )
c ( 9 + 4 ) + 15 = 9 + ( 4 + 15 ) c 19 + 8 = 8 + 19
c 13 + 15 = 15 + 13 c 19 + 8 = 27
c 13 + 15 = 28 c 27 = 19 + 8

c 20 + 15 = 15 + 20 8. c 18 + 3 = 21
c 20 + 15 = 35 c 21 = 18 + 3
c 35 = 20 + 15 c ( 4 + 14 ) + 3 = 4 + ( 14 + 3 )
c ( 12 + 8 ) + 15 = 12 + ( 8 + 15 ) c 18 + 3 = 3 + 18