Properties of Mathematics Pamphlet
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Transcript Properties of Mathematics Pamphlet
Properties of
Mathematics Pamphlet
Math 6/7
3/11/16
Name of the Property
In
symbols
Examples
In words:
Multiplicative Property of Zero
In words:
Any number
multiplied
by zero is
zero.
Multiplicative Property of Zero
a0 0
Examples
50 0
256 0 0
46 0 0
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
a 1 a
Examples
5 1 5
256 1 256
46 1 46
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
a0 a
Examples
50 5
256 0 256
46 0 46
In 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
sum is the
same.
Commutative Property of
Addition
In words: If
a b b a
Examples
56 65
224 5 5 224
( 46) 1 1 (46)
you change
the order of
the numbers
you are
adding, the
sum is the
same.
Commutative Property of
Multiplication
In words: If
you change
the order of
the numbers
you are
multiplying,
the product
is the same.
Commutative Property of
Multiplication
ab ba
Examples
56 65
224 5 5 224
(46) 1 1 (46)
In words: If
you change
the order of
the numbers
you are
multiplying,
the product
is the same.
Associative Property of Addition
In words: If
you change
the location
of the
parenthesis
in an addition
problem, the
sum is the
same.
Associative Property of Addition
In words: If
(a b) c a (b c)
Examples
(5 6) 7 5 (6 7)
(a 3) 5 a (3 5)
2 (1 6 3) (2 1 6) 3
you change
the location
of the
parenthesis
in an addition
problem, the
sum is the
same.
Associative Property of
Multiplication
In words: If
you change the
location of the
parenthesis in
a multiplication
problem, the
product is the
same.
Associative Property of
Multiplication
(ab)c a (bc )
Examples
(5 6) 7 5 (6 7)
(a 3) 5 a (3 5)
2(1 6 3) (2 1 6) 3
In words: If
you change the
location of the
parenthesis in
a multiplication
problem, the
product is the
same.
Test Yourself
Which property is demonstrated by the following
statement?
5 4 45
Test Yourself
Which property is demonstrated by the following
statement?
0 10 10
Test Yourself
Which property is demonstrated by the following
statement?
2,451 0 0
Test Yourself
Which property is demonstrated by the following
statement?
(1 b) 7 1 (b 7)
Test Yourself
Which property is demonstrated by the following
statement?
(1 4) 7 1 (4 7)
Test Yourself
Which property is demonstrated by the following
statement?
8 w w8
Test Yourself
Which property is demonstrated by the following
statement?
k 0 0