Easy Algebra Step-by-Step

Computation with Real Numbers 29

Division of Signed Numbers

Rule 8. To divide two numbers, divide

their absolute values (being care-

ful to make sure you don’t divide

by 0) and then follow the rules for

multiplication of signed numbers.

Problem Find the quotient.

a. −

−

120

3

b.

− 120

3

c.^120

− 3

d.

− 120

0

e.^0

30

Solution

a.

−

−

120

3

Step 1. Divide 120 by 3.

120

3

= 40

Step 2. The signs are the same (both negative), so keep the quotient positive.

−

−

=

120

3

40

b. −^120

3

Step 1. Divide 120 by 3.

120

3

= 40

P

In algebra, division is commonly indicated

by the fraction bar.

If 0 is the dividend, the quotient is 0. For

instance,^05 = 0. But if 0 is the divisor,

the quotient is undefi ned. Thus,^5

0 ≠^0

and^50 ≠ 5. 50 has no answer because

division by 0 is undefi ned!