2.6
Divide Real Numbers
p Divide real numbers.
Goal
Your Notes
VOCABULARY
Multiplicative inverse
INVERSE PROPERTY OF MULTIPLICATION
Words
The
inverse is
of a nonzero number and its multiplicative
.
Algebra
1
ap}
a 5
,aÞ
Numbers
1
4p}
5
4
Example 1
Find multiplicative inverses of numbers
Identify the multiplicative inverse and justify your
answer.
Solution
Number
Multiplicative
inverse
Reason
a. 9
5
b. 2}
6
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Lesson 2.6 • Algebra 1 Notetaking Guide
45
Your Notes
Checkpoint Find the multiplicative inverse.
2
1. 2}
3
2. 3
DIVISION RULE
Words
To divide a number a by a nonzero number b,
multiply
by the multiplicative inverse of
.
Algebra
a4b5ap
,bÞ
Numbers
7435
You cannot divide
a real number
by 0, because 0
does not have
a multiplicative
inverse.
THE SIGN OF A QUOTIENT
The quotient of two real numbers with the same sign
is
.
The quotient of two real numbers with different signs
is
.
The quotient of 0 and any nonzero real number is
.
Divide real numbers
Example 2
Find the quotient.
Solution
a. 25 4 5 5 25 p
2
b. 240 4 }
5 240 p
3
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Lesson 2.6 • Algebra 1 Notetaking Guide
5
5
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Your Notes
Checkpoint Find the quotient.
3
1
4. 16 4 1 2}
42
1
3. }
4}
4
2
Example 3
Simplify an expression
48y 2 32
8
Simplify the expression }.
Solution
48y 2 32
} 5 (48y 2 32) 4
8
Rewrite fraction as
division.
5 (48y 2 32) p
Division rule
5 48y p
Distributive property
5
2 32 p
Simplify.
Checkpoint Simplify the expression.
3a 1 4
5. }
2
12x 2 8
4
6. }
Homework
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Lesson 2.6 • Algebra 1 Notetaking Guide
47