52 Chapter 1 Whole Numbers 33 5 5 4 1 0 7 8 1 0 5 5 0 Answers 4. 1 5. 1 6. 4 7. 8 8. 0 9. 0 10. 11. 40 5 0 Example 2 8 8 1 1 8 8 5 1 5 5 1 5 0 6 0 0 6 0 6 0 Properties of Division 1. Any nonzero number divided by itself is 1. Example: 9 9 1 2. Any number divided by 1 is the number itself. Example: 3 1 3 3. Zero divided by any nonzero number is zero. Example: 0 5 0 4. Any number divided by zero is undefined. Example: 9 0 is undefined To help remember the difference between 0 2 and 2 0, consider this application: means that if we divide $8 between 2 people, each will receive $4. means that if we divide $0 between 2 people, each will receive $0. $8 2 $4 $0 2 $0 But $2 0 means that we would like to divide $2 between 0 people. This cannot be done. So 2 0 is undefined. You should also note that unlike addition and multiplication, division is neither commutative nor associative. In other words, reversing the order of the dividend and divisor may produce a different quotient. Similarly, changing the manner in which numbers are grouped with division may affect the outcome. See Exercises 31 and 32. Skill Practice Divide. 4. 5. 6. 7. 8. 9. 30 Concept Connections 10. Which expression is undefined? or 11. Which expression is equal to zero? 04 or 40 2. Properties of Division Example 2 illustrates the important properties of division. Dividing Whole Numbers Divide. a. b. c. d. e. f. g. Solution: a. because b. because c. because d. because e. because f. because g. is undefined because there is no number that when multiplied by 0 will produce a product of 6. 0 4 0 0 4 0 7 1 7 7 17 1 6 6 6 6 1 6 0 0 4 17 0 6 5 1 6 6 8 8
miller_basic_college_math_3e_ch1_3
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