Exercises: Decimals (1.5)
Exercises: Name and Write Decimals
1. Twenty-nine and eighty-one hundredths
Solution
[latex]29.81[/latex]
2. Sixty-one and seventy-four hundredths
3. Seven tenths
Solution
[latex]0.7[/latex]
4. Six tenths
5. Twenty-nine thousandth
Solution
[latex]0.029[/latex]
6. Thirty-five thousandths
7. Negative eleven and nine ten-thousandths
Solution
[latex]-11.0009[/latex]
8. Negative fifty-nine and two ten-thousandths
Exercises: Name and Write Decimals
9. [latex]5.5[/latex]
Solution
five and five tenths
10. [latex]14.02[/latex]
11. [latex]8.71[/latex]
Solution
eight and seventy-one hundredths
12. [latex]2.64[/latex]
13. 0.002
Solution
two thousandths
14. 0.479
15. [latex]−17.9[/latex]
Solution
negative seventeen and nine tenths
16. [latex]-31.4[/latex]
Exercises: Round Decimals
17. [latex]0.67[/latex]
Solution
[latex]0.7[/latex]
18. [latex]0.49[/latex]
19. [latex]2.84[/latex]
Solution
[latex]2.8[/latex]
20. [latex]4.63[/latex]
Exercises: Round Decimals
21. [latex]0.845[/latex]
Solution
[latex]0.85[/latex]
22. [latex]0.761[/latex]
23. [latex]0.299[/latex]
Solution
[latex]0.30[/latex]
24. [latex]0.697[/latex]
25. [latex]4.098[/latex]
Solution
[latex]4.10[/latex]
26. [latex]7.096[/latex]
Exercises: Round Decimals
Instructions: For questions 27–30, round each number to the nearest
a. hundredth
b. tenth
c. whole number
27. [latex]5.781[/latex]
Solution
a. [latex]5.78[/latex]
b. [latex]5.8[/latex]
c. [latex]6[/latex]
28. [latex]1.6381[/latex]
29. [latex]63.479[/latex]
Solution
a. [latex]63.48[/latex]
b. [latex]63.5[/latex]
c. [latex]63[/latex]
30. [latex]84.281[/latex]
Exercises: Add and Subtract Decimals
31. [latex]16.92+7.56[/latex]
Solution
[latex]24.48[/latex]
32. [latex]248.25-91.29[/latex]
33. [latex]21.76-30.99[/latex]
Solution
[latex]-9.23[/latex]
34. [latex]38.6+13.67[/latex]
35. [latex]-16.53-24.38[/latex]
Solution
[latex]-40.91[/latex]
36. [latex]-19.47-32.58[/latex]
37. [latex]-38.69+31.47[/latex]
Solution
[latex]-7.22[/latex]
38. [latex]29.83+19.76[/latex]
39. [latex]72.5-100[/latex]
Solution
[latex]-27.5[/latex]
40. [latex]86.2-100[/latex]
41. [latex]15+0.73[/latex]
Solution
[latex]15.73[/latex]
42. [latex]27+0.87[/latex]
43. [latex]91.95-(-10.462)[/latex]
Solution
[latex]102.212[/latex]
44. [latex]94.69-(-12.678)[/latex]
45. [latex]55.01-3.7[/latex]
Solution
[latex]51.31[/latex]
46. [latex]59.08-4.6[/latex]
47. [latex]2.51-7.4[/latex]
Solution
[latex]-4.89[/latex]
48. [latex]3.84-6.1[/latex]
Exercises: Multiply and Divide Decimals
49. [latex](0.24)(0.6)[/latex]
Solution
[latex]0.144[/latex]
50. [latex](0.81)(0.3)[/latex]
51. [latex](5.9)(7.12)[/latex]
Solution
[latex]42.008[/latex]
52. [latex](2.3)(9.41)[/latex]
53. [latex](-4.3)(2.71)[/latex]
Solution
[latex]-11.653[/latex]
54. [latex](-8.5)(1.69)[/latex]
55. [latex](-5.18)(-65.23)[/latex]
Solution
[latex]337.8914[/latex]
56. [latex](-9.16)(-68.34)[/latex]
57. [latex](0.06)(21.75)[/latex]
Solution
[latex]1.305[/latex]
58. [latex](0.08)(52.45)[/latex]
59. [latex](9.24)(10)[/latex]
Solution
[latex]92.4[/latex]
60. [latex](6.531)(10)[/latex]
61. [latex](55.2)(1000)[/latex]
Solution
[latex]55\text{,}200[/latex]
62. [latex](99.4)(1000)[/latex]
Exercises: Multiply and Divide Decimals
63. [latex]4.75\div25[/latex]
Solution
[latex]0.19[/latex]
64. [latex]12.04\div43[/latex]
65. [latex]$117.25\div48[/latex]
Solution
[latex]$2.44[/latex]
66. [latex]$109.24\div36[/latex]
67. [latex]0.6\div0.2[/latex]
Solution
[latex]3[/latex]
68. [latex]0.8\div0.4[/latex]
69. [latex]1.44\div(-0.3)[/latex]
Solution
[latex]-4.8[/latex]
70. [latex]1.25\div(-0.5)[/latex]
71. [latex]-1.75\div(-0.05)[/latex]
Solution
[latex]35[/latex]
72. [latex]-1.15\div(-0.05)[/latex]
73. [latex]5.2\div2.5[/latex]
Solution
[latex]2.08[/latex]
74. [latex]6.5\div3.25[/latex]
75. [latex]11\div0.55[/latex]
Solution
[latex]20[/latex]
76. [latex]14\div0.35[/latex]
Exercises: Convert Decimals, Fractions and Percents
77. [latex]0.04[/latex]
Solution
[latex]\frac{1}{25}[/latex]
78. [latex]0.19[/latex]
79 .[latex]0.52[/latex]
Solution
[latex]\frac{13}{25}[/latex]
80. [latex]0.78[/latex]
81. [latex]1.25[/latex]
Solution
[latex]\frac{5}{4}[/latex]
82. [latex]1.35[/latex]
83. [latex]0.375[/latex]
Solution
[latex]\frac{3}{8}[/latex]
84. [latex]0.464[/latex]
85. [latex]0.095[/latex]
Solution
[latex]\frac{19}{200}[/latex]
86. [latex]0.085[/latex]
Exercises: Convert Decimals, Fractions and Percents
Instructions: For questions 87-98, convert each fraction to a decimal.
87. [latex]\frac{17}{20}[/latex]
Solution
[latex]0.85[/latex]
88. [latex]\frac{13}{20}[/latex]
89. [latex]\frac{11}{4}[/latex]
Solution
[latex]2.75[/latex]
90. [latex]\frac{17}{4}[/latex]
91. [latex]-\frac{310}{25}[/latex]
Solution
[latex]-12.4[/latex]
92. [latex]-\frac{284}{25}[/latex]
93. [latex]\frac{15}{11}[/latex]
Solution
[latex]1.\overline{36}[/latex]
94. [latex]\frac{18}{11}[/latex]
95. [latex]\frac{15}{111}[/latex]
Solution
[latex]0.\overline{135}[/latex]
96. [latex]\frac{25}{111}[/latex]
97. [latex]2.4+\frac{5}{8}[/latex]
Solution
[latex]3.025[/latex]
98. [latex]3.9+\frac{9}{20}[/latex]
Exercises: Convert Decimals, Fractions and Percents
99. [latex]1\%[/latex]
Solution
[latex]0.01[/latex]
100. [latex]2\%[/latex]
101. [latex]63\%[/latex]
Solution
[latex]0.63[/latex]
102. [latex]71\%[/latex]
203. [latex]150\%[/latex]
Solution
[latex]1.5[/latex]
104. [latex]250\%[/latex]
105. [latex]21.4\%[/latex]
Solution
[latex]0.214[/latex]
106. [latex]39.3\%[/latex]
107. [latex]7.8\%[/latex]
Solution
[latex]0.078[/latex]
108. [latex]6.4\%[/latex]
Exercises: Convert Decimals, Fractions and Percents
109. [latex]0.01[/latex]
Solution
[latex]1\%[/latex]
110. [latex]0.03[/latex]
111. [latex]1.35[/latex]
Solution
[latex]135\%[/latex]
112. [latex]1.56[/latex]
113. [latex]3[/latex]
Solution
[latex]300\%[/latex]
114. [latex]4[/latex]
115. [latex]0.0875[/latex]
Solution
[latex]8.75\%[/latex]
116. [latex]0.0625[/latex]
117. [latex]2.254[/latex]
Solution
[latex]225.4\%[/latex]
118. [latex]2.317[/latex]
Exercises: Everyday Math
119. Salary Increase. Danny got a raise and now makes [latex]$58\text{,}965.95[/latex] a year. Round this number to the nearest
a. dollar
b. thousand dollars
c. ten thousand dollars
Solution
a. [latex]$58\text{,}966[/latex]
b. [latex]$59\text{,}000[/latex]
c. [latex]$60\text{,}000[/latex]
120. New Car Purchase. Selena’s new car cost [latex]$23\text{,}795.95[/latex]. Round this number to the nearest
a. dollar
b. thousand dollars
c. ten thousand dollars
121. Sales Tax. Hyo Jin lives in San Diego. She bought a refrigerator for [latex]$1\text{,}624.99[/latex] and when the clerk calculated the sales tax it came out to exactly [latex]$142.186625[/latex]. Round the sales tax to the nearest
a. penny
b. dollar
Solution
a. [latex]$142.19[/latex]
b. [latex]$142[/latex]
122. Sales Tax. Jennifer bought a [latex]$1\text{,}038.99[/latex] dining room set for her home in Cincinnati. She calculated the sales tax to be exactly [latex]$67.53435[/latex]. Round the sales tax to the nearest
a. penny
b. dollar
123. Paycheck. Annie has two jobs. She gets paid [latex]$14.04[/latex] per hour for tutoring at City College and [latex]$8.75[/latex] per hour at a coffee shop. Last week she tutored for 8 hours and worked at the coffee shop for 15 hours.
a. How much did she earn?
b. If she had worked all 23 hours as a tutor instead of working both jobs, how much more would she have earned?
Solution
a. [latex]$243.57[/latex]
b. [latex]$79.35[/latex]
124. Paycheck. Jake has two jobs. He gets paid [latex]$7.95[/latex] per hour at the college cafeteria and [latex]$20.25[/latex] at the art gallery. Last week he worked 12 hours at the cafeteria and 5 hours at the art gallery.
a. How much did he earn?
b. If he had worked all 17 hours at the art gallery instead of working both jobs, how much more would he have earned?
Exercises: Writing Exercises
125. How does knowing about US money help you learn about decimals?
Solution
Answers may vary
126. Explain how you write “three and nine hundredths” as a decimal.
127. Without solving the problem “[latex]44[/latex] is [latex]80\%[/latex] of what number” think about what the solution might be. Should it be a number that is greater than [latex]44[/latex] or less than [latex]44[/latex]? Explain your reasoning.
Solution
Answers may vary
128. When the Szetos sold their home, the selling price was [latex]500\%[/latex] of what they had paid for the house 30 years ago. Explain what [latex]500\%[/latex] means in this context.
