Commutative Property of Addition a. (6) + (-2) = (-2) + (6)
b.(-8) + (-3) = (-3) + (-8)
-11 = -11
For any integers a and b, a + b = b + a.
The order of addends will not affect the
Multiplication
a.(7)(-5) = (-5)(7)
-35 = -35
b.(10)(6) = (6)(10)
60 = 60
For any integers a and b, a b = b. a.
The order of factors will not affect
the product.
Sum
Associative Property of Addition
a. (3 + 7) + 4 = 3 + (7 + -4)
10 + 4 = 3 + 3
6 = 6
b.(-2+ 8) + 5 = -2 + (8 + 5)
6 + 5 = -2 + 13
Multiplication
a. [(4)(5) (7)1 = (4)[(5)(7)]
(20)(7) = (4)(35)
140 = 140
b. (-2)(6) (-4) = (-2) (6)(-4)
(-12)(-4) = (-2)(-24)
48 = 48
For any integers a, b, and c,
(a - b) c= a · (b. c).
Different groupings of factors will
not affect the product.
11 = 11
For any integers a, b, and c,
(a + b) + c = a + b + c).
Different groupings of addends will not
affect the sum.
Identity Property of Addition
15 + 0 = 15
a.
Multiplication
(32)(1) = 32
b. (1)(-15) = -15
a.
b.
0 +-8 = -8
For any integer a, a + 0 = a.
The sum of any number and zero will
always be equal to the number.
The identity element of addition is 0.
For any integer a, a. 1 = a.
The product of any number and 1
will always be equal to the number.
The identity element
multiplication is 1.
of
Additive Inverse Property
Multiplicative Inverse Property
a.
(10) + (-10) = 0
(-2) + (2) = 0
目,
FI
b.
a. 3
= 1
- 1. b. 5
For any integer a, a + -a = 0.
The opposite of the given integer is
called its additive inverse. The sum of a
number and its additive inverse is zero.
The reciprocal of the given integer is
called its multiplicative inverse. The
product of a number and its
multiplicative inverse is one.
sagotan nyo na poh plsss i fallow you im pramiss
b.(-8) + (-3) = (-3) + (-8)
-11 = -11
For any integers a and b, a + b = b + a.
The order of addends will not affect the
Multiplication
a.(7)(-5) = (-5)(7)
-35 = -35
b.(10)(6) = (6)(10)
60 = 60
For any integers a and b, a b = b. a.
The order of factors will not affect
the product.
Sum
Associative Property of Addition
a. (3 + 7) + 4 = 3 + (7 + -4)
10 + 4 = 3 + 3
6 = 6
b.(-2+ 8) + 5 = -2 + (8 + 5)
6 + 5 = -2 + 13
Multiplication
a. [(4)(5) (7)1 = (4)[(5)(7)]
(20)(7) = (4)(35)
140 = 140
b. (-2)(6) (-4) = (-2) (6)(-4)
(-12)(-4) = (-2)(-24)
48 = 48
For any integers a, b, and c,
(a - b) c= a · (b. c).
Different groupings of factors will
not affect the product.
11 = 11
For any integers a, b, and c,
(a + b) + c = a + b + c).
Different groupings of addends will not
affect the sum.
Identity Property of Addition
15 + 0 = 15
a.
Multiplication
(32)(1) = 32
b. (1)(-15) = -15
a.
b.
0 +-8 = -8
For any integer a, a + 0 = a.
The sum of any number and zero will
always be equal to the number.
The identity element of addition is 0.
For any integer a, a. 1 = a.
The product of any number and 1
will always be equal to the number.
The identity element
multiplication is 1.
of
Additive Inverse Property
Multiplicative Inverse Property
a.
(10) + (-10) = 0
(-2) + (2) = 0
目,
FI
b.
a. 3
= 1
- 1. b. 5
For any integer a, a + -a = 0.
The opposite of the given integer is
called its additive inverse. The sum of a
number and its additive inverse is zero.
The reciprocal of the given integer is
called its multiplicative inverse. The
product of a number and its
multiplicative inverse is one.
sagotan nyo na poh plsss i fallow you im pramiss
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