1. 1
Chapter
Chapter 2
The Whole Numbers

2. Dividing Whole Numbers
Section
1.7
Dividing Whole Numbers

3. Objective A
Divide Whole Numbers.

4. Dividing Whole Numbers
The process of separating a quantity into equal parts is called division.
Objective A

5. Example
Find each quotient. Check by multiplying. a. b. c.

6. Properties of 1 Division Properties of 1
The quotient of any number (except 0) and that same number is 1. For example,
The quotient of any number and 1 is that same number. For example,

7. Properties of 0
The quotient of 0 and any number (except 0) is 0. For example,
The quotient of any number and 0 is not a number. We say that
are undefined.

8. Objective B
Perform Long Division.

9. Example
Divide: ÷ 5
Objective D

10. Solving Problems by Dividing
Example
Find the quotient of 78 and 5.
Objective D

11. Example
Divide: 51,600 ÷ 403
= 128 R 16
Objective D

12. Solve Problems That Require Dividing by Whole Numbers.
Objective C
Solve Problems That Require Dividing by Whole Numbers.

13. Solving Problems by Dividing
Key Words or Phrases
Example
Symbols
Divide
Divide 8 by 4
8 ÷ 4 or
Quotient
The quotient of 64 and 8
64 ÷ 4 or
Divided by
12 divided by 4
12 ÷ 4 or
Divided or Shared
Equally Among
$75 divided equally among three people
75 ÷ 3 or
per
100 miles per 2 hours
Objective C

14. Example
Books are being packed 12 to a box. If there are 1344 books to be packed how many boxes will be used?
= ÷ 12
= 112 boxes will be used
Objective C

15. Example
Printers can be packed 12 to a box. If 532 printers are to be packed but only full boxes are shipped, how many full boxes will be shipped? How many printers are left over and not shipped? 532 ÷ full boxes and 4 printers left over

16. Find the Average of a List of Numbers.
Objective D
Find the Average of a List of Numbers.

17. Finding Averages
The average of a list of numbers is the sum of the numbers divided by the number of numbers.
Objective E

18. Example
To compute a safe time to wait for reactions to occur after allergy shots are administered, a lab technician is given a list of elapsed times between administered shots and reactions. Find the average of the times 4 minutes, 7 minutes, 35 minutes, 16 minutes, 9 minutes, 3 minutes, and 52 minutes.