Basic Mathematics for College Students

178 Chapter 2 The Integers

b.Find the absolute values: and.

Check: The result checks.

c.Find the absolute values: and.

Check: The result checks.

d.We can simplify the division by removing the same number of ending zeros in

the divisor and dividend.

There is one zero in the divisor.

Remove one zero from the dividend

and the divisor, and divide.

Check: 5(40) 200 The result checks.

Divide the absolute values, 20 by 4,

to get 5. The final answer is positive.

 200 (40)  20 (4)  5

35(9) 315

Divide the absolute values, 315 by 9, to get 35.

The final answer is positive.

 315

 9

 35

0  3150  315 0  90  9

8(6) 48

Divide the absolute values, 48 by 6, to get 8.

The final answer is positive.

 48 (6) 8

0  480  48 0  60  6

2 Identify division of 0and division by 0.

To review the concept of division of 0, we consider. We can attempt to find?

by examining the related multiplication statement.

Related multiplication statement Division statement

Therefore,. This example illustrates that the quotient of 0 divided by any non-

zero integer is 0.

To review division by 0, let’s consider. We can attempt to find? by

examining the related multiplication statement.

Related multiplication statement Division statement

Therefore, does not have an answer and we say that is undefined. This example

illustrates that the quotient of any nonzero integer divided by 0 is undefined.

 02  02

There is no quotient.

 2

0

?

There is no number that gives

2 when multiplied by 0.

(?)0 2

 02 ?

(^) ^02  0
So the quotient is 0.

0

 2

?

This must be 0 if the

product is to be 0.

(?)(2) 0

(^) ^02 ?
Division with 0

1. If 0 is divided by any nonzero integer, the quotient is 0.


2. Division of any nonzero integer by 0 is undefined.

35

9  315

 27

45

 45

0