Additive and Multiplicative Inverses
Date: ___________________________
SOL 7.4 The student will explain orally and in writing the following properties of operations with real numbers: * the
commutative and associative properties for addition and multiplication; * the distributive property; * the additive and
multiplicative identity properties; * the additive and multiplicative inverse properties; and * the multiplicative property of
zero.
Recall and Build Your Vocabulary
On a number line, to the right of 0 we have ________________ numbers and to the left of 0 we
have _________________ numbers.
For every _________________ number, there is a
corresponding _________________ number. For example, 2.5 is positive, so we must have a
2.5 that is negative. We use the expression ________ to represent __________________ two and
five ____________. _______ and _______ are special because when we add them together we
get _____ for the answer. Let’s come up with some examples.
_______ + _______ = _______
_______ + _______ = _______
_______ + _______ = _______
_______ + _______ = _______
Adding a number and its opposite results in 0 is called the ________________
________________ property.
_______________
_______________ property states for any
number a, _____ + _____ = _____ or _____ + _____ = _____.
Example 1 Additive Inverse Property
a.
______ + 5 = 0
b.
______ + y = 0
c.
______ + (− x) = 0
d.
10 + ______ = 0
e.
− 7.5 + ______ = 0
f.
1 
+
2 
g.
0= p + ______
h.
− w + ______ = 0
i.
0 = ______ + (− 1.3)

=0

Build Your Vocabulary
1
4
In the expression 4   , ______ and ______ are called ________________, and the result is ____.
Multiplying two numbers results in ______ is called the ____________________________
_________________ property. (You remember this as the ______________________.)
__________________________ _________________ property states for any number a,
_____ • _____ = _____ or _____ • _____ = _____.
Example 2 Multiplicative Inverse Property
a.
____ •
1
=1
5
b.
____ •
1
=1
6
c.
3
•
8
=1
•
d.
7
=1
5
e.
1
• ____ = 1
p
f.
2
•
m
g.
3•
h.
1= n•
i.
1=
Assignment
=1
=1
•
3
5
Additive and Multiplicative Inverses Practice