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Properties of Mathematics Pamphlet
Pre-Algebra2 December 2008
Name of the Property
Examples
symbols
InIn words:
Multiplicative Property of Zero
In words: Any number multiplied by zero is zero.
Multiplicative Property of Zero
0046
00256
005
Examples
00 a In words: Any number multiplied by zero is zero.
Identity Property of Multiplication
In words: Any number multiplied by one is equal to itself.
Identity Property of Multiplication
46146
2561256
515
Examples
aa 1 In words: Any number multiplied by one is equal to itself.
Identity Property of Addition
In words: Any number plus zero is equal to itself.
Identity Property of Addition
46046
2560256
505
Examples
aa 0In words: Any number plus zero is equal to itself.
Commutative Property of Addition
In words: If you change the order of the numbers you are adding, the answer is the same.
Commutative Property of Addition
)46(11)46(
22455224
5665
Examples
abba In words: If
you change the order of the numbers you are adding, the answer is the same.
Commutative Property of Multiplication
In words: If you change the order of the numbers you are multiplying, the answer is the same.
Commutative Property of Multiplication
)46(11)46(
22455224
5665
Examples
baabIn words: If
you change the order of the numbers you are multiplying, the answer is the same.
Associative Property of Addition
In words: If you change the location of the parenthesis in an addition problem, the answer is the same.
Associative Property of Addition
3)612()361(2
)53(5)3(
)76(57)65(
aa
Examples
)()( cbacba
In words: If you change the location of the parenthesis in an addition problem, the answer is the same.
Associative Property of Multiplication
In words: If you change the location of the parenthesis in a multiplication problem, the answer is the same.
Associative Property of Multiplication
3)612()361(2
)53(5)3(
)76(57)65(
aa
Examples
)()( bcacab In words: If you
change the location of the parenthesis in a multiplication problem, the answer is the same.
Test Yourself
Which property is demonstrated by the following statement?
5445
Test Yourself
Which property is demonstrated by the following statement?
10100
Test Yourself
Which property is demonstrated by the following statement?
00451,2
Test Yourself
Which property is demonstrated by the following statement?
)7(17)1( bb
Test Yourself
Which property is demonstrated by the following statement?
)74(17)41(
Test Yourself
Which property is demonstrated by the following statement?
88 ww
Test Yourself
Which property is demonstrated by the following statement?
00 k