# properties of addition

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Properties of Addition
Worksheet 1The commutative property of addition is the rule
which states that theorder in which the numbers of an expression are combined does
notaffect the outcome.Example: 3 + 5 = 5 + 3The associative property of addition
is the rule which states that thegrouping 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 = 13c
7 + 3 = 10 c 13 = 9 + 4c 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 + 6c 8 + 5 = 5 + 8 c 6 + 2 = 8Which 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 + 5c 6 + 4 = 4 + 6 c 5 + 7 = 12c 6 + 4 = 10 c 12 = 5 + 7

c 9 + 6 = 6 + 9 8. c 8 + 3 = 11
c 9 + 6 = 15 c 11 = 8 + 3c 15 = 9 + 6 c ( 2 + 6 )
+ 3 = 2 + ( 6 + 3 )c ( 7 + 2 ) + 6 = 7 + ( 2 + 6 ) c 8 + 3 = 3 + 8Copyright ©2011
T. Smith Publishing. All rights reserved.Properties of Addition Worksheet 2Commutative
and associative properties3001bwww.tlsbooks.comProperties of AdditionWorksheet 2The
commutative property of addition is the rule which states that theorder in which
the numbers of an expression are combined does notaffect the outcome.Example: 3 
+ 5 = 5 + 3The associative property of addition is the rule which states that thegrouping
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 = 25c 25 + 5 = 30 c 25 = 18 + 7c 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 + 15c 14 + 9 = 9 + 14 c 15 + 17 = 32Which
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 + 19c 13 + 15 = 15 + 13 c 19 + 8 = 27c 13 + 15 = 28 c 27 = 19 
+ 8

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