To divide numbers on a calculator, find the keys marked
and or . For example, to find
on a calculator, press the keys
or . The display will read . Thus,
Use a calculator to divide.
1. 2.
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.
0 12. 18 minutes
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Vocabulary and Readiness Check
Use the choices below to fill in each blank. Some choices may be used more than once.
1. In , the answer 45 is called the , 90 is called the , and 2 is called the .
2. The quotient of any number and 1 is the same .
3. The quotient of any number (except 0) and the same number is . 4. The quotient of 0 and any number (except 0) is .
5. The quotient of any number and 0 is .
6. The of a list of numbers is the sum of the numbers divided by the of numbers.
90 , 2 = 45
1 number divisor dividend
0 undefined average quotient
F O R EXTR A H E LP
Objective Find each quotient. See Examples 1 through 3.
1. 54 , 9 2. 72 , 9 3. 36 , 3 4. 24 , 3 5. 0 , 8
1.7 Exercise Set
6. 7. 8. 9. 10.49
49 18
38 , 1 18 31 , 1
0 , 4
11. 12. 45
9 24
3
16.6 , 6 17. 0 , 14 18.7 , 0 19.18 , 2 20. 18 , 3
Objectives Mixed Practice Divide and then check by multiplying. See Examples 1 through 5.
21. 3冄87 22.5冄85 23. 3冄222 24.8冄640 25. 3冄1014 26. 4冄2104
27. 28. 0 29. 63 , 7 30.56 , 8 31. 150 , 6 32. 121 , 11
30 30
0
Divide and then check by multiplying. See Examples 6 and 7.
33. 7冄479 34. 7冄426 35. 6冄1421 36. 3冄1240
37. 305 , 8 38. 167 , 3 39. 2286 , 7 40. 3333 , 4
13. 26 , 0 14. 12 15. 26 , 26
0
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C H A P T E R 1 I THE WHOLE NUMBERSCopyright 2012 Pearson Education,Inc.
Divide and then check by multiplying. See Examples 8 and 9.
41.55冄715 42.23冄736 43.23冄1127 44.42冄2016 45. 97冄9417
46.44冄1938 47. 3146 , 15 48.7354 , 12 49.6578 , 13 50. 5670 , 14
51. 52. 53. 54. 55. 10,297
103 5781
123 12,744
2505 , 64 236 9299 , 46
56. 23,092 57. 20,619 , 102 58.40,853 , 203 59.244,989 , 423 60. 164,592 , 543 240
Divide. See Examples 1 through 9.
61. 7冄119 62. 8冄104 63. 7冄3580 64. 5冄3017
65. 40冄85,312 66. 50冄85,747 67. 142冄863,360 68. 214冄650,560
Objective Translating Solve. See Examples 10 and 11.
69. Find the quotient of 117 and 5. 70. Find the quotient of 94 and 7.
71. Find 200 divided by 35. 72. Find 116 divided by 32.
73. Find the quotient of 62 and 3. 74. Find the quotient of 78 and 5.
75. Martin Thieme teaches American Sign Language classes for $65 per student for a 7-week session. He collects $2145 from the group of students. Find how many students are in the group.
76. Kathy Gomez teaches Spanish lessons for $85 per student for a 5-week session. From one group of students, she collects $4930. Find how many students are in the group.
77. The gravity of Jupiter is 318 times as strong as the gravity of Earth, so objects on Jupiter weigh 318 times as much as they weigh on Earth. If a person would weigh 52,470 pounds on Jupiter, find how much the person weighs on Earth.
78. Twenty-one people pooled their money and bought lottery tickets. One ticket won a prize of $5,292,000.
Find how many dollars each person received.
79. An 18-hole golf course is 5580 yards long. If the distance to each hole is the same, find the distance between holes.
80. A truck hauls wheat to a storage granary. It carries a total of 5768 bushels of wheat in 14 trips. How much does the truck haul each trip if each trip it hauls the same amount?
81. There is a bridge over highway I-35 every three miles. The first bridge is at the beginning of a 265-mile stretch of highway. Find how many bridges there are over 265 miles of I-35.
82. The white stripes dividing the lanes on a highway are 25 feet long, and the spaces between them are 25 feet long. Let’s call a “lane divider” a stripe followed by a space. Find how many whole “lane dividers” there are in 1 mile of highway. (A mile is 5280 feet.)
S E C T I O N 1 . 7 I DIVIDING WHOLE NUMBERS
71
Objective Find the average of each list of numbers. See Example 12.
83. Ari Trainor is in the requisitions department of Central Electric Lighting Company. Light poles along a highway are placed 492 feet apart. The first light pole is at the beginning of a 1-mile strip. Find how many poles he should order for the 1-mile strip of highway. (A mile is 5280 feet.)
84. Professor Lopez has a piece of rope 185 feet long that she wants to cut into pieces for an experiment in her physics class. Each piece of rope is to be 8 feet long.
Determine whether she has enough rope for her 22-student class. Determine the amount extra or the amount short.
85. Broad Peak in Pakistan is the twelfth-tallest mountain in the world. Its elevation is 26,400 feet.
A mile is 5280 feet. How many miles tall is Broad Peak? (Source: National Geographic Society)
86. DeAngelo Williams of the Carolina Panthers led the NFL in touchdowns during the 2008 football season, scoring a total of 120 points from touchdowns. If a touchdown is worth 6 points, how many touchdowns did Williams make during 2008? (Source: National Football League)
87. Find how many yards are in 1 mile. (A mile is 5280 feet; a yard is 3 feet.)
88. Find how many whole feet are in 1 rod. (A mile is 5280 feet; 1 mile is 320 rods.)
1 foot 1 foot
Normal Monthly Temperature (in Fahrenheit) for Salt Lake City, Utah
Month
The normal monthly temperature in degrees Fahrenheit for Salt Lake City, Utah, is given in the graph. Use this graph to answer Exercises 95 and 96. (Source: National Climatic Data Center)
95. Find the average temperature for June, July, and August.
96. Find the average temperature for October, November, and December.
72
C H A P T E R 1 I THE WHOLE NUMBERSCopyright 2012 Pearson Education,Inc.
Mixed Practice (Sections 1.3, 1.4, 1.6, 1.7) Perform each indicated operation. Watch the operation symbol.
97. 82 + 463 + 29 + 8704 98. 23 + 407 + 92 + 7011
Match each word phrase to the correct translation. (Not all letter choices will be used.) See the Concept Check in this section.
a. b.
c. 40 , 8 d. 8 , 40 200 , 20 20 , 200
The following table shows the top five countries with the most Nobel Prize winners through 2008. Use this table to answer Exercises 111 and 112. (Source: Nobel Prize Committee)
111. Find the average
112. Find the average
In Example 12 in this section, we found that the average of 75, 96, 81, and 88 is 85. Use this information to answer Exercises 113 and 114.
113. If the number 75 is removed from the list of numbers, does the average increase or decrease?
Explain why.
114. If the number 96 is removed from the list of numbers, does the average increase or decrease?
Explain why.
115. Without computing it, tell whether the average of 126, 135, 198, 113 is 86. Explain why it is possible or why it is not.
116. Without computing it, tell whether the average of 38, 27, 58, and 43 is 17. Explain why it is possible or why it is not.
117. If the area of a rectangle is 60 square feet and its width is 5 feet, what is its length?
118. If the area of a rectangle is 84 square inches and its length is 21 inches, what is its width?
119. Write down any two numbers whose quotient is 25. 120. Write down any two numbers whose quotient is 1.
121. Find using the process of repeated subtraction.
26 , 5 122. Find using the process of repeated
subtraction.
86 , 10 107. The quotient of 40 and 8 108. The quotient of 200 and 20
109. 200 divided by 20 110. 40 divided by 8
Countries with the Most Nobel Prize Winners, 1901–2008
Country Physics Chemistry Literature
Physiology
and Medicine Peace Economics Total
United States 88 59 11 96 22 44 320
United Kingdom 21 27 11 31 13 7 110
Germany 25 28 8 16 4 1 82
France 13 8 14 11 10 2 58
Sweden 4 4 8 7 5 2 30