,OpenStax Prealgebra
1.1 Introduction to Whole Numbers
Prealgebra
1: Whole Numbers
1.1 Introduction to Whole Numbers
Practice Makes Perfect
Identify Counting Numbers and Whole Numbers In the following exercises, determine which of the
following numbers are (a) counting numbers (b) whole numbers
2
1. 0, , 5, 8.1, 125
3
Answer: (a) 5, 125 (b) 0, 5, 125
7
2. 0, , 3, 20.5, 300
10
Answer: (a) 3, 300 (b) 0, 3, 300
4
3. 0, , 3.9, 50, 221
9
Answer: (a) 50, 221 (b) 0, 50, 221
3
4. 0, , 10, 303, 422.6
5
Answer: (a) 10, 303 (b) 0, 10, 303
Model Whole Numbers In the following exercises, use place value notation to find the value of the
number modeled by the base-10 blocks.
5.
Answer: 561
Page 1 of 125
,OpenStax Prealgebra
1.1 Introduction to Whole Numbers
6.
Answer: 384
7.
Answer: 407
8.
Answer: 620
Page 2 of 125
,OpenStax Prealgebra
1.1 Introduction to Whole Numbers
Identify the Place Value of a Digit In the following exercises, find the place value of the given digits.
9. 579,601
(a) 9
(b) 6
(c) 0
(d) 7
(e) 5
Answer: (a) thousands (b) hundreds (c) tens (d) ten thousands (e) hundred thousands
10. 398,127
(a) 9
(b) 3
(c) 2
(d) 8
(e) 7
Answer: (a) ten thousands (b) hundred thousands (c) tens (d) thousands (e) ones
11. 56,804,379
(a) 8
(b) 6
(c) 4
(d) 7
(e) 0
Answer: (a) hundred thousands (b) millions (c) thousands (d) tens (e) ten thousands
12. 78,320,465
(a) 8
(b) 4
(c) 2
(d) 6
(e) 7
Answer: (a) millions (b) hundreds (c) ten thousands (d) tens (e) ten millions
Use Place Value to Name Whole Numbersn In the following exercises, name each number in words.
13. 1,078
Answer: One thousand, seventy-eight
14. 5,902
Answer: Five thousand, nine hundred two
15. 364,510
Answer: Three hundred sixty-four thousand, five hundred ten
16. 146,023
Answer: One hundred forty-six thousand, twenty-three
Page 3 of 125
,OpenStax Prealgebra
1.1 Introduction to Whole Numbers
17. 5,846,103
Answer: Five million, eight hundred forty-six thousand, one hundred three
18. 1,458,398
Answer: One million, four hundred fifty-eight thousand, three hundred ninety-eight
19. 37,889,005
Answer: Thirty seven million, eight hundred eighty-nine thousand, five
20. 62,008,465
Answer: Sixty two million, eight thousand, four hundred sixty-five
21. The height of Mount Ranier is 14,410 feet.
Answer: Fourteen thousand, four hundred ten
22. The height of Mount Adams is 12,276 feet.
Answer: Twelve thousand, two hundred seventy-six
23. Seventy years is 613,200 hours.
Answer: Six hundred thirteen thousand, two hundred
24. One year is 525,600 minutes.
Answer: Five hundred twenty-five thousand, six hundred
25. The U.S. Census estimate of the population of Miami-Dade county was 2,617,176.
Answer: Two million, six hundred seventeen thousand, one hundred seventy-six
26. The population of Chicago was 2,718,782.
Answer: Two million, seven hundred eighteen thousand, seven hundred eighty-two
27. There are projected to be 23,867,000 college and university students in the US in five years.
Answer: Twenty three million, eight hundred sixty-seven thousand
28. About twelve years ago there were 20,665,415 registered automobiles in Californi(a)
Answer: Twenty million, six hundred sixty-five thousand, four hundred fifteen
29. The population of China is expected to reach 1,377,583,156 in 2016.
Answer: One billion, three hundred seventy-seven million, five hundred eighty-three thousand, one
hundred fifty-six
30. The population of India is estimated at 1,267,401,849 as of July 1, 2014.
Answer: One billion, two hundred seventy-six million, four hundred one thousand, eight hundred forty
nine.
Page 4 of 125
,OpenStax Prealgebra
1.1 Introduction to Whole Numbers
Use Place Value to Write Whole Numbers In the following exercises, write each number as a whole
number using digits.
31. four hundred twelve
Answer: 412
32. two hundred fifty-three
Answer: 253
33. thirty-five thousand, nine hundred seventy-five
Answer: 35,975
34. sixty-one thousand, four hundred fifteen
Answer: 61,415
35. eleven million, forty-four thousand, one hundred sixty-seven
Answer: 11,044,167
36. eighteen million, one hundred two thousand, seven hundred eighty-three
Answer: 18,102,783
37. three billion, two hundred twenty-six million, five hundred twelve thousand, seventeen
Answer: 3,226,512,017
38. eleven billion, four hundred seventy-one million, thirty-six thousand, one hundred six
Answer: 11,471,036,106
39. The population of the world was estimated to be seven billion, one hundred seventy-three million
peopl(e)
Answer: 7,173,000,000
40. The age of the solar system is estimated to be four billion, five hundred sixty-eight million years.
Answer: 4,568,000,000
41. Lake Tahoe has a capacity of thirty-nine trillion gallons of water.
Answer: 39,000,000,000,000
42. The federal government budget was three trillion, five hundred billion dollars.
Answer: 3,500,000,000,000
Round Whole Numbers In the following exercises, round to the indicated place valu(e)
43. Round to the nearest ten: (a) 386 (b) 2,931
Answer: (a) 390 (b) 2,930
44. Round to the nearest ten: (a) 792 (b) 5,647
Answer: (a) 790 (b) 5,650
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,OpenStax Prealgebra
1.1 Introduction to Whole Numbers
45. Round to the nearest hundred: (a) 13,748 (b) 391,794
Answer: (a) 13,700 (b) 391,800
46. Round to the nearest hundred: (a) 28,166 (b) 481,628
Answer: (a) 28,200 (b) 481,600
47. Round to the nearest ten: (a) 1,492 (b) 1,497
Answer: (a) 1490 (b) 1500
48. Round to the nearest thousand: (a) 2391 (b) 2795
Answer: (a) 2,000 (b) 3,000
49. Round to the nearest hundred: (a) 63,994 (b) 63,949
Answer: (a) 64,000 b) 63,900
50. Round to the nearest thousand: (a) 163,584 (b) 163,246
Answer: (a) 164,000 (b) 163,000
Everyday Math
51. Writing a check. Jorge bought a car for $24,493. He paid for the car with a check. Write the purchase
price in words.
Answer: Twenty four thousand, four hundred ninety-three dollars
52. Writing a check. Marissa’s kitchen remodeling cost $18,549. She wrote a check to the contractor.
Write the amount paid in words.
Answer: Eighteen thousand, five hundred forty-nine dollars
53. Buying a car. Jorge bought a car for $24,493. Round the price to the nearest…
(a) ten dollars
(b) hundred dollars
(c) thousand dollars
(d) ten-thousand dollars
Answer: (a) $24,490 (b) $24,500 (c) $24,000 (d) $20,000
54. Remodeling a Kitchen. Marissa’s kitchen remodeling cost $18,549. Round the cost to the nearest…
(a) ten dollars
(b) hundred dollars
(c) thousand dollars
(d) ten-thousand dollars
Answer: (a) $18,550 (b) $18,500 (c) $19,000 (d) $20,000
Page 6 of 125
,OpenStax Prealgebra
1.1 Introduction to Whole Numbers
55. Population. The population of China was 1,355,692,544 in 2014. Round the population to the
nearest…
(a) billion people
(b) hundred-million people
(c) million people
Answer: (a) 1,000,000,000 (b) 1,400,000,000 (c) 1,356,000,000
56. Astronomy The average distance between Earth and the sun is 149,597,888 kilometers. Round the
distance to the nearest
(a) hundred-million kilometers
(b) ten-million kilometers
(c) million kilometers
Answer: (a) 100,000,000 kilometers (b) 150,000,000 kilometers (c) 150,000,000 kilometers
Writing Exercises
57. In your own words, explain the difference between the counting numbers and the whole numbers.
Answer: Answers may vary. The whole numbers are the counting numbers with the inclusion of zero.
58. Give an example from your everyday life where it helps to round numbers.
Answer: Answers may vary, but may include estimating mileage
Page 7 of 125
,OpenStax Prealgebra
1.2 Add Whole Numbers
Prealgebra
1: Whole Numbers
1.2 Add Whole Numbers
Practice Makes Perfect
Use Addition Notation In the following exercises, translate the following from math expressions to
words.
59. 5 2
Answer: five plus two; the sum of 5 and 2.
60. 6 3
Answer: six plus three; the sum of 6 and 3.
61. 13 18
Answer: thirteen plus eighteen; the sum of 13 and 18
62. 15 16
Answer: fifteen plus sixteen; the sum of 15 and 16
63. 214 642
Answer: two hundred fourteen plus six hundred forty-two; the sum of 214 and 642
64. 438 113
Answer: four hundred thirty-eight plus one hundred thirteen; the sum of 438 and 113
Model Addition of Whole Numbers In the following exercises, model the addition.
65. 2 4
Answer: 2 4 6
66. 5 3
Answer: 5 3 8
67. 8 4
Answer: 8 4 12
68. 5 9
Answer: 5 9 14
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, OpenStax Prealgebra
1.2 Add Whole Numbers
69. 14 75
Answer: 14 75 89
70. 15 63
Answer: 15 63 78
71. 16 25
Answer: 16 25 41
72. 14 27
Answer: 14 27 41
Page 69 of 125
1.1 Introduction to Whole Numbers
Prealgebra
1: Whole Numbers
1.1 Introduction to Whole Numbers
Practice Makes Perfect
Identify Counting Numbers and Whole Numbers In the following exercises, determine which of the
following numbers are (a) counting numbers (b) whole numbers
2
1. 0, , 5, 8.1, 125
3
Answer: (a) 5, 125 (b) 0, 5, 125
7
2. 0, , 3, 20.5, 300
10
Answer: (a) 3, 300 (b) 0, 3, 300
4
3. 0, , 3.9, 50, 221
9
Answer: (a) 50, 221 (b) 0, 50, 221
3
4. 0, , 10, 303, 422.6
5
Answer: (a) 10, 303 (b) 0, 10, 303
Model Whole Numbers In the following exercises, use place value notation to find the value of the
number modeled by the base-10 blocks.
5.
Answer: 561
Page 1 of 125
,OpenStax Prealgebra
1.1 Introduction to Whole Numbers
6.
Answer: 384
7.
Answer: 407
8.
Answer: 620
Page 2 of 125
,OpenStax Prealgebra
1.1 Introduction to Whole Numbers
Identify the Place Value of a Digit In the following exercises, find the place value of the given digits.
9. 579,601
(a) 9
(b) 6
(c) 0
(d) 7
(e) 5
Answer: (a) thousands (b) hundreds (c) tens (d) ten thousands (e) hundred thousands
10. 398,127
(a) 9
(b) 3
(c) 2
(d) 8
(e) 7
Answer: (a) ten thousands (b) hundred thousands (c) tens (d) thousands (e) ones
11. 56,804,379
(a) 8
(b) 6
(c) 4
(d) 7
(e) 0
Answer: (a) hundred thousands (b) millions (c) thousands (d) tens (e) ten thousands
12. 78,320,465
(a) 8
(b) 4
(c) 2
(d) 6
(e) 7
Answer: (a) millions (b) hundreds (c) ten thousands (d) tens (e) ten millions
Use Place Value to Name Whole Numbersn In the following exercises, name each number in words.
13. 1,078
Answer: One thousand, seventy-eight
14. 5,902
Answer: Five thousand, nine hundred two
15. 364,510
Answer: Three hundred sixty-four thousand, five hundred ten
16. 146,023
Answer: One hundred forty-six thousand, twenty-three
Page 3 of 125
,OpenStax Prealgebra
1.1 Introduction to Whole Numbers
17. 5,846,103
Answer: Five million, eight hundred forty-six thousand, one hundred three
18. 1,458,398
Answer: One million, four hundred fifty-eight thousand, three hundred ninety-eight
19. 37,889,005
Answer: Thirty seven million, eight hundred eighty-nine thousand, five
20. 62,008,465
Answer: Sixty two million, eight thousand, four hundred sixty-five
21. The height of Mount Ranier is 14,410 feet.
Answer: Fourteen thousand, four hundred ten
22. The height of Mount Adams is 12,276 feet.
Answer: Twelve thousand, two hundred seventy-six
23. Seventy years is 613,200 hours.
Answer: Six hundred thirteen thousand, two hundred
24. One year is 525,600 minutes.
Answer: Five hundred twenty-five thousand, six hundred
25. The U.S. Census estimate of the population of Miami-Dade county was 2,617,176.
Answer: Two million, six hundred seventeen thousand, one hundred seventy-six
26. The population of Chicago was 2,718,782.
Answer: Two million, seven hundred eighteen thousand, seven hundred eighty-two
27. There are projected to be 23,867,000 college and university students in the US in five years.
Answer: Twenty three million, eight hundred sixty-seven thousand
28. About twelve years ago there were 20,665,415 registered automobiles in Californi(a)
Answer: Twenty million, six hundred sixty-five thousand, four hundred fifteen
29. The population of China is expected to reach 1,377,583,156 in 2016.
Answer: One billion, three hundred seventy-seven million, five hundred eighty-three thousand, one
hundred fifty-six
30. The population of India is estimated at 1,267,401,849 as of July 1, 2014.
Answer: One billion, two hundred seventy-six million, four hundred one thousand, eight hundred forty
nine.
Page 4 of 125
,OpenStax Prealgebra
1.1 Introduction to Whole Numbers
Use Place Value to Write Whole Numbers In the following exercises, write each number as a whole
number using digits.
31. four hundred twelve
Answer: 412
32. two hundred fifty-three
Answer: 253
33. thirty-five thousand, nine hundred seventy-five
Answer: 35,975
34. sixty-one thousand, four hundred fifteen
Answer: 61,415
35. eleven million, forty-four thousand, one hundred sixty-seven
Answer: 11,044,167
36. eighteen million, one hundred two thousand, seven hundred eighty-three
Answer: 18,102,783
37. three billion, two hundred twenty-six million, five hundred twelve thousand, seventeen
Answer: 3,226,512,017
38. eleven billion, four hundred seventy-one million, thirty-six thousand, one hundred six
Answer: 11,471,036,106
39. The population of the world was estimated to be seven billion, one hundred seventy-three million
peopl(e)
Answer: 7,173,000,000
40. The age of the solar system is estimated to be four billion, five hundred sixty-eight million years.
Answer: 4,568,000,000
41. Lake Tahoe has a capacity of thirty-nine trillion gallons of water.
Answer: 39,000,000,000,000
42. The federal government budget was three trillion, five hundred billion dollars.
Answer: 3,500,000,000,000
Round Whole Numbers In the following exercises, round to the indicated place valu(e)
43. Round to the nearest ten: (a) 386 (b) 2,931
Answer: (a) 390 (b) 2,930
44. Round to the nearest ten: (a) 792 (b) 5,647
Answer: (a) 790 (b) 5,650
Page 5 of 125
,OpenStax Prealgebra
1.1 Introduction to Whole Numbers
45. Round to the nearest hundred: (a) 13,748 (b) 391,794
Answer: (a) 13,700 (b) 391,800
46. Round to the nearest hundred: (a) 28,166 (b) 481,628
Answer: (a) 28,200 (b) 481,600
47. Round to the nearest ten: (a) 1,492 (b) 1,497
Answer: (a) 1490 (b) 1500
48. Round to the nearest thousand: (a) 2391 (b) 2795
Answer: (a) 2,000 (b) 3,000
49. Round to the nearest hundred: (a) 63,994 (b) 63,949
Answer: (a) 64,000 b) 63,900
50. Round to the nearest thousand: (a) 163,584 (b) 163,246
Answer: (a) 164,000 (b) 163,000
Everyday Math
51. Writing a check. Jorge bought a car for $24,493. He paid for the car with a check. Write the purchase
price in words.
Answer: Twenty four thousand, four hundred ninety-three dollars
52. Writing a check. Marissa’s kitchen remodeling cost $18,549. She wrote a check to the contractor.
Write the amount paid in words.
Answer: Eighteen thousand, five hundred forty-nine dollars
53. Buying a car. Jorge bought a car for $24,493. Round the price to the nearest…
(a) ten dollars
(b) hundred dollars
(c) thousand dollars
(d) ten-thousand dollars
Answer: (a) $24,490 (b) $24,500 (c) $24,000 (d) $20,000
54. Remodeling a Kitchen. Marissa’s kitchen remodeling cost $18,549. Round the cost to the nearest…
(a) ten dollars
(b) hundred dollars
(c) thousand dollars
(d) ten-thousand dollars
Answer: (a) $18,550 (b) $18,500 (c) $19,000 (d) $20,000
Page 6 of 125
,OpenStax Prealgebra
1.1 Introduction to Whole Numbers
55. Population. The population of China was 1,355,692,544 in 2014. Round the population to the
nearest…
(a) billion people
(b) hundred-million people
(c) million people
Answer: (a) 1,000,000,000 (b) 1,400,000,000 (c) 1,356,000,000
56. Astronomy The average distance between Earth and the sun is 149,597,888 kilometers. Round the
distance to the nearest
(a) hundred-million kilometers
(b) ten-million kilometers
(c) million kilometers
Answer: (a) 100,000,000 kilometers (b) 150,000,000 kilometers (c) 150,000,000 kilometers
Writing Exercises
57. In your own words, explain the difference between the counting numbers and the whole numbers.
Answer: Answers may vary. The whole numbers are the counting numbers with the inclusion of zero.
58. Give an example from your everyday life where it helps to round numbers.
Answer: Answers may vary, but may include estimating mileage
Page 7 of 125
,OpenStax Prealgebra
1.2 Add Whole Numbers
Prealgebra
1: Whole Numbers
1.2 Add Whole Numbers
Practice Makes Perfect
Use Addition Notation In the following exercises, translate the following from math expressions to
words.
59. 5 2
Answer: five plus two; the sum of 5 and 2.
60. 6 3
Answer: six plus three; the sum of 6 and 3.
61. 13 18
Answer: thirteen plus eighteen; the sum of 13 and 18
62. 15 16
Answer: fifteen plus sixteen; the sum of 15 and 16
63. 214 642
Answer: two hundred fourteen plus six hundred forty-two; the sum of 214 and 642
64. 438 113
Answer: four hundred thirty-eight plus one hundred thirteen; the sum of 438 and 113
Model Addition of Whole Numbers In the following exercises, model the addition.
65. 2 4
Answer: 2 4 6
66. 5 3
Answer: 5 3 8
67. 8 4
Answer: 8 4 12
68. 5 9
Answer: 5 9 14
Page 68 of 125
, OpenStax Prealgebra
1.2 Add Whole Numbers
69. 14 75
Answer: 14 75 89
70. 15 63
Answer: 15 63 78
71. 16 25
Answer: 16 25 41
72. 14 27
Answer: 14 27 41
Page 69 of 125
