1. Slide 1 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Chapter 2 The Whole Numbers Chapter 1

2. Slide 2 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Dividing Whole Numbers Section1.7

3. Slide 3 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Dividing Whole Numbers The process of separating a quantity into equal parts is called division.

4. Slide 4 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Example Find each quotient. Check by multiplying. a. b. c.

5. Slide 5 Copyright © 2015, 2011, 2008 Pearson Education, Inc. 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,

6. Slide 6 Copyright © 2015, 2011, 2008 Pearson Education, Inc. 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.

7. Slide 7 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Example Divide: 3705 ÷ 5

8. Slide 8 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Solving Problems by Dividing Example Find the quotient of 78 and 5.

9. Slide 9 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Example Divide: 51,600 ÷ 403 = 128 R 16

10. Slide 10 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Solving Problems by Dividing Key Words or Phrases ExampleSymbols Divide Divide 8 by 4 8 ÷ 4 or Quotient The quotient of 64 and 8 64 ÷ 4 or Divided by 12 divided by 412 ÷ 4 or Divided or Shared Equally Among $75 divided equally among three people 75 ÷ 3 or per 100 miles per 2 hours

11. Slide 11 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Example Books are being packed 12 to a box. If there are 1344 books to be packed how many boxes will be used? = 1344 ÷ 12 = 12 boxes will be used

12. Slide 12 Copyright © 2015, 2011, 2008 Pearson Education, Inc. 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 ÷ 12 44 full boxes and 4 printers left over

13. Slide 13 Copyright © 2015, 2011, 2008 Pearson Education, Inc. Finding Averages The average of a list of numbers is the sum of the numbers divided by the number of numbers.

14. Slide 14 Copyright © 2015, 2011, 2008 Pearson Education, Inc. 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.