Additive/Multiplicative Identities and Multiplication
Property of Zero
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.
Build Your Vocabulary
On a number line, the origin is ______. The number ____ has no effect on any other number
when we are ___________. For example ______ + ______ = ______.
Let’s come up with some other examples:
_______ + _______ = _______
_______ + _______ = _______
_______ + _______ = _______
_______ + _______ = _______
_________________ _____________ property states for any number a,
_____ + _____ = _____ or _____ + _____ = _____.
_____ has no effect on any other number when we are adding. What number has no effect on
any other number when we are _____________________? The number is ____. For example
_____ • _____ = _____.
Let’s come up with some other examples:
_______ • _______ = _______
_______ • _______ = _______
_______ • _______ = _______
_______ • _______ = _______
________________________________ _________________ property states for any number a,
_____ • _____ = _____ or _____ • _____ = _____.
In the expression 0x, ______ and ______ are called ________________, and the result is ____.
Multiplying two numbers results in ______ is called the _______________________ property of
________. This property states for any number a,
_____ • _____ = _____ or _____ • _____ = _____.
Example 1 Additive Identity Property
a.
______ + 5 = ______
b.
______ + (− 7.5) = ______
c.
______ + y = ______
d.
7
+ ______ = ______
8
e.
− w = ______ + 0
f.
2p = ______ + 0
b.
1
1
• ______ =
p
p
Example 2 Multiplicative Identity Property
2 2
=
5 5
a.
______ •
c.
7
= ______ • ______
3
d.
______ •______ = 3
d.
______ • ______ = 7x
f.
−6mn = _______• _______
Example 3 Multiplication Property of Zero
a.
______ • 0 = 0
b.
100,000 • ______ = 0
c.
0 • (−555) = ______
d.
7
• 0 = ______
9
e.
6n • _____ = 0
f.
−4xy • 0 = ______
Example 4 Mixed Practice
Place a + or • in the blank to make each sentence true. Then name the property.
a.
5 _____ 0 = 0
_____________________________________________________
b.
− 6 _____ 1 = − 6
_____________________________________________________
c.
− xy _____ 0 = − xy
_____________________________________________________
Assignment
Additive/Multiplicative Identities & Multiplication Property of 0 Practice