Page 84 - Basic College Mathematics with Early Integers

S E C T ION 1. 7 I DIVIDING WHOLE NUMBERS 61

Example 1 Find each quotient. Check by multiplying. PRACTICE 1
64 Find each quotient. Check by
a. 42 , 7 b. c. 321
8 multiplying.
Solution: a. 972
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a. 42 , 7 = 6 because 6 7 = 42 b. 40 , 5
64 24
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b. = 8 because 8 8 = 64 c.
8 6
7

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c. 321 because 7 3 = 21
Work Practice 1

Example 2 Find each quotient. Check by multiplying.
PRACTICE 2
6 20
a. 17 b. 12 , 1 c. d. 9 , 9 e. f. 1818 Find each quotient. Check by
6 1
multiplying.
Solution:
7
7 a. b. 5 , 1
7
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a. 17 because 7 1 = 7
c. 111 d. 4 , 1
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b. 12 , 1 = 12 because 12 1 = 12 10
6 e. f. 21 , 21
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c. = 1 because 1 6 = 6 1
6
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d. 9 , 9 = 1 because 1 9 = 9
20
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e. = 20 because 20 1 = 20
1
1

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f. 1818 because 1 18 = 18
Work Practice 2
Example 2 illustrates the important properties of division described next:
Division Properties of 1

The quotient of any number (except 0) and that same number is 1. For example,
1
5
8 , 8 = 1 = 1 44
5
The quotient of any number and 1 is that same number. For example,
3
6 0
9 , 1 = 9 = 6 13 = 0
1 1
PRACTICE 3
Example 3 Find each quotient. Check by multiplying. Find each quotient. Check by
0 3 multiplying.
a. 90 b. 0 , 12 c. d.
5 0 0
a. b. 80
Solution: 7
0 c. 7 , 0 d. 0 , 14

#
#
a. 90 because 0 9 = 0 b. 0 , 12 = 0 because 0 12 = 0
Answers
0 1. a. 8 b. 8 c. 4 2. a. 1 b. 5
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c. = 0 because 0 5 = 0
5 c. 11 d. 4 e. 10 f. 1 3. a. 0
Continued on next page b. 0 c. undefined d. 0