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