Exercises: Introduction to Whole Numbers (1.1)
Exercises: Place Value With Whole Numbers
1. [latex]51\text{,}493[/latex]
a. [latex]1[/latex]
b. [latex]4[/latex]
c. [latex]9[/latex]
d. [latex]5[/latex]
e. [latex]3[/latex]
Solution
a. thousands
b. hundreds
c. tens
d. ten thousands
e. ones
2. [latex]87\text{,}210[/latex]
a. [latex]2[/latex]
b. [latex]8[/latex]
c. [latex]0[/latex]
d. [latex]7[/latex]
e. [latex]1[/latex]
3. [latex]164\text{,}285[/latex]
a. [latex]5[/latex]
b. [latex]6[/latex]
c. [latex]1[/latex]
d. [latex]8[/latex]
e. [latex]2[/latex]
Solution
a. ones
b. ten thousands
c. hundred thousands
d. tens
e. hundreds
4. [latex]395\text{,}076[/latex]
a. [latex]5[/latex]
b. [latex]3[/latex]
c. [latex]7[/latex]
d. [latex]0[/latex]
e. [latex]9[/latex]
5. [latex]93\text{,}285\text{,}170[/latex]
a. [latex]9[/latex]
b. [latex]8[/latex]
c. [latex]7[/latex]
d. [latex]5[/latex]
e. [latex]3[/latex]
Solution
a. ten millions
b. ten thousands
c. tens
d. thousands
e. millions
6. [latex]36\text{,}084\text{,}215[/latex]
a. [latex]8[/latex]
b. [latex]6[/latex]
c. [latex]5[/latex]
d. [latex]4[/latex]
e. [latex]3[/latex]
7. [latex]7\text{,}284\text{,}915\text{,}860\text{,}132[/latex]
a. [latex]7[/latex]
b. [latex]4[/latex]
c. [latex]5[/latex]
d. [latex]3[/latex]
e. [latex]0[/latex]
Solution
a. trillions
b. billions
c. millions
d. tens
e. thousands
8. [latex]2\text{,}850\text{,}361\text{,}159\text{,}433[/latex]
a. [latex]9[/latex]
b. [latex]8[/latex]
c. [latex]6[/latex]
d. [latex]4[/latex]
e. [latex]2[/latex]
Exercises: Name Numbers Using Words
9. [latex]1\text{,}078[/latex]
Solution
one thousand, seventy-eight
10. [latex]5\text{,}902[/latex]
11. [latex]364\text{,}510[/latex]
Solution
three hundred sixty-four thousand, five hundred ten
12. [latex]146\text{,}023[/latex]
13. [latex]5\text{,}846\text{,}103[/latex]
Solution
five million, eight hundred forty-six thousand, one hundred three
14. [latex]1\text{,}458\text{,}398[/latex]
15. [latex]37\text{,}889\text{,}005[/latex]
Solution
thirty-seven million, eight hundred eighty-nine thousand, five
16. [latex]62\text{,}008\text{,}465[/latex]
Exercises: Whole Numbers Using Digits
17. four hundred twelve
Solution
[latex]412[/latex]
18. two hundred fifty-three
19. thirty-five thousand, nine hundred seventy-five
Solution
[latex]35\text{,}975[/latex]
20. sixty-one thousand, four hundred fifteen
21. eleven million, forty-four thousand, one hundred sixty-seven
Solution
[latex]11\text{,}044\text{,}167[/latex]
22. eighteen million, one hundred two thousand, seven hundred eighty-three
23. three billion, two hundred twenty-six million, five hundred twelve thousand, seventeen
Solution
[latex]3\text{,}226\text{,}512\text{,}017[/latex]
24. eleven billion, four hundred seventy-one million, thirty-six thousand, one hundred six
Exercises: Round to Indicated Place Value
25. Round to the nearest ten.
a. [latex]386[/latex]
b. [latex]2\text{,}931[/latex]
Solution
a. [latex]390[/latex]
b. [latex]2\text{,}930[/latex]
26. Round to the nearest ten.
a. [latex]792[/latex]
b. [latex]5\text{,}647[/latex]
27. Round to the nearest hundred.
a. [latex]13\text{,}748[/latex]
b. [latex]391\text{,}794[/latex]
Solution
a. [latex]13\text{,}700[/latex]
b. [latex]391\text{,}800[/latex]
28. Round to the nearest hundred.
a. [latex]28\text{,}166[/latex]
b. [latex]481\text{,}628[/latex]
29. Round to the nearest ten.
a. [latex]1\text{,}492[/latex]
b. [latex]1\text{,}497[/latex]
Solution
a. [latex]1\text{,}490[/latex]
b. [latex]1\text{,}500[/latex]
30. Round to the nearest ten.
a. [latex]2\text{,}791[/latex]
b. [latex]2\text{,}795[/latex]
31. Round to the nearest hundred.
a. [latex]63\text{,}994[/latex]
b. [latex]63\text{,}940[/latex]
Solution
a. [latex]64\text{,}000[/latex]
b. [latex]63\text{,}900[/latex]
32. Round to the nearest hundred.
a. [latex]49\text{,}584[/latex]
b. [latex]49\text{,}548[/latex]
Exercises: Round Numbers to Nearest Hundred, Thousand, and Ten Thousand
Instructions: For questions 33-36, round each number to the nearest:
a. hundred
b. thousand
c. ten thousand
33. [latex]392\text{,}546[/latex]
Solution
a. [latex]392\text{,}500[/latex]
b. [latex]393\text{,}000[/latex]
c. [latex]390\text{,}000[/latex]
34. [latex]619\text{,}348[/latex]
35. [latex]2\text{,}586\text{,}991[/latex]
Solution
a. [latex]2\text{,}587\text{,}000[/latex]
b. [latex]2\text{,}587\text{,}000[/latex]
c. [latex]2\text{,}590\text{,}000[/latex]
36. [latex]4\text{,}287\text{,}965[/latex]
Exercises: Identify Multiples and Factors
Instructions: For questions 37-48, use the divisibility tests to determine whether each number is divisible by [latex]2[/latex], [latex]3[/latex], [latex]5[/latex], [latex]6[/latex], and [latex]10[/latex].
37. [latex]84[/latex]
Solution
divisible by [latex]2[/latex], [latex]3[/latex], and [latex]6[/latex]
38. [latex]9\text{,}696[/latex]
39. [latex]75[/latex]
Solution
divisible by [latex]3[/latex] and [latex]5[/latex]
40. [latex]78[/latex]
41. [latex]900[/latex]
Solution
divisible by [latex]2[/latex], [latex]3[/latex], [latex]5[/latex], [latex]6[/latex], and [latex]10[/latex]
42. [latex]800[/latex]
43. [latex]986[/latex]
Solution
divisible by [latex]2[/latex]
44. [latex]942[/latex]
45. [latex]350[/latex]
Solution
divisible by [latex]2[/latex], [latex]5[/latex], and [latex]10[/latex]
46. [latex]550[/latex]
47. [latex]22\text{,}335[/latex]
Solution
divisible by [latex]3[/latex] and [latex]5[/latex]
48. [latex]39\text{,}075[/latex]
Exercises: Find Prime Factorizations
Instructions: For questions 49-59, find the prime factorization.
49. [latex]86[/latex]
Solution
[latex]2,43[/latex]
50. [latex]78[/latex]
51. [latex]132[/latex]
Solution
[latex]2,2,3,11[/latex]
52. [latex]243[/latex]
53. [latex]693[/latex]
Solution
[latex]3,3,7,11[/latex]
54. [latex]455[/latex]
55. [latex]432[/latex]
Solution
[latex]2,2,2,2,3,3,3[/latex]
56. [latex]400[/latex]
57. [latex]2\text{,}160[/latex]
Solution
[latex]2,2,2,2,3,3,3,5[/latex]
58. [latex]627[/latex]
59. [latex]2\text{,}520[/latex]
Solution
[latex]2,2,2,2,2,2,2,2,2,5[/latex]
Exercises: Find Least Common Multiples Using Multiples Method
Instructions: For questions 60-65, find the least common multiple of the each pair of numbers using the multiples method.
60. [latex]8,12[/latex]
Solution
[latex]24[/latex]
61. [latex]4,3[/latex]
62. [latex]12,16[/latex]
Solution
[latex]48[/latex]
63. [latex]30,40[/latex]
64. [latex]20,30[/latex]
Solution
[latex]60[/latex]
65. [latex]44,55[/latex]
Exercises: Find Least Common Multiples using Prime Factors Method
Instructions: For questions 66-71, find the least common multiple of each pair of numbers using the prime factors method.
66. [latex]8,12[/latex]
Solution
[latex]24[/latex]
67. [latex]12,16[/latex]
68. [latex]28,40[/latex]
Solution
[latex]420[/latex]
69. [latex]84,90[/latex]
70. [latex]55,88[/latex]
Solution
[latex]440[/latex]
71. [latex]60,72[/latex]
Exercises: Everyday Math
Instructions: For questions 72-79, answer the everyday math word problems.
72. Writing a Check. Jorge bought a car for [latex]$24\text{,}493[/latex]. He paid for the car with a check. Write the purchase price in words.
Solution
twenty-four thousand, four hundred ninety-three dollars
73. Writing a Check. Marissa’s kitchen remodeling cost [latex]$18\text{,}549[/latex]. She wrote a check to the contractor. Write the amount paid in words.
74. Buying a Car: Jorge bought a car for [latex]$24\text{,}493[/latex]. Round the price to the nearest
a. ten
b. hundred
c. thousand
d. ten-thousand
Solution
a. [latex]$24\text{,}490[/latex]
b. [latex]$24\text{,}500[/latex]
c. [latex]$24\text{,}000[/latex]
d. [latex]$20\text{,}000[/latex]
75. Remodeling a Kitchen. Marissa’s kitchen remodeling cost [latex]$18\text{,}549[/latex]. Round the cost to the nearest
a. ten
b. hundred
c. thousand
d. ten-thousand
76. Population. The population of China was [latex]1\text{,}339\text{,}724\text{,}852[/latex] on November 1, 2010. Round the population to the nearest
a. billion
b. hundred-million
c. million
Solution
a. [latex]1\text{,}000\text{,}000\text{,}000[/latex]
b. [latex]1\text{,}300\text{,}000\text{,}000[/latex]
c. [latex]1\text{,}340\text{,}000\text{,}000[/latex]
77. Astronomy. The average distance between Earth and the sun is [latex]149\text{,}597\text{,}888[/latex] kilometers. Round the distance to the nearest
a. hundred-million
b. ten-million
c. million
78. Grocery Shopping. Hot dogs are sold in packages of [latex]10[/latex], but hot dog buns come in packs of eight. What is the smallest number that makes the hot dogs and buns come out even?
Solution
[latex]40[/latex]
79. Grocery Shopping. Paper plates are sold in packages of [latex]12[/latex] and party cups come in packs of eight. What is the smallest number that makes the plates and cups come out even?
Exercises: Writing Exercises
Instructions: For questions 80-83, answer the given writing exercises.
80. Give an everyday example where it helps to round numbers.
81. If a number is divisible by [latex]2[/latex] and by [latex]3[/latex] why is it also divisible by [latex]6[/latex]?
82. What is the difference between prime numbers and composite numbers?
Solution
Answers may vary.
83. Explain in your own words how to find the prime factorization of a composite number, using any method you prefer.
