Transcript Properties of Mathematics Pamphlet

Properties of
Mathematics Pamphlet
Math 7
Name of the Property
In
sym bols
Exam ples
In words:
Multiplicative Property of Zero
In words:
Any number
multiplied
by zero is
zero.
Multiplicative Property of Zero
a0  0
Exam ples
50  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
Exam ples
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
a0 a
Exam ples
50  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
answer is the
same.
Commutative Property of
Addition
In words: If
ab ba
Exam ples
56  65
224 5  5  224
(46)  1  1  (46)
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
ab  ba
Exam ples
56  65
224 5  5  224
(46) 1  1 (46)
In 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
In words: If
(a  b)  c  a  (b  c)
Exam ples
(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
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
(ab)c  a(bc)
Exam ples
(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
answer is the
same.
Test Yourself
 Which property is demonstrated by the following
statement?
5 4  45
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  w 8
Test Yourself
 Which property is demonstrated by the following
statement?
k 0  0