Exercises: Introduction to Whole Numbers (1.1)

Domenic Spilotro, MSc

Exercises: Introduction to Whole Numbers (1.1)

Exercises: Place Value With Whole Numbers

Instructions: For questions 1-8, find the place value of each digit in the given numbers.

1. $51, 493$

a. $1$
b. $4$
c. $9$
d. $5$
e. $3$

Solution

a. thousands
b. hundreds
c. tens
d. ten thousands
e. ones

2. $87, 210$

a. $2$
b. $8$
c. $0$
d. $7$
e. $1$

3. $164, 285$

a. $5$
b. $6$
c. $1$
d. $8$
e. $2$

Solution

a. ones
b. ten thousands
c. hundred thousands
d. tens
e. hundreds

4. $395, 076$

a. $5$
b. $3$
c. $7$
d. $0$
e. $9$

5. $93, 285, 170$

a. $9$
b. $8$
c. $7$
d. $5$
e. $3$

Solution

a. ten millions
b. ten thousands
c. tens
d. thousands
e. millions

6. $36, 084, 215$

a. $8$
b. $6$
c. $5$
d. $4$
e. $3$

7. $7, 284, 915, 860, 132$

a. $7$
b. $4$
c. $5$
d. $3$
e. $0$

Solution

a. trillions
b. billions
c. millions
d. tens
e. thousands

8. $2, 850, 361, 159, 433$

a. $9$
b. $8$
c. $6$
d. $4$
e. $2$

Exercises: Name Numbers Using Words

Instructions: For questions 9-16, name each number using words.

9. $1, 078$

Solution

one thousand, seventy-eight

10. $5, 902$

11. $364, 510$

Solution

three hundred sixty-four thousand, five hundred ten

12. $146, 023$

13. $5, 846, 103$

Solution

five million, eight hundred forty-six thousand, one hundred three

14. $1, 458, 398$

15. $37, 889, 005$

Solution

thirty-seven million, eight hundred eighty-nine thousand, five

16. $62, 008, 465$

Exercises: Whole Numbers Using Digits

Instructions: For questions 17-24, write each number as a whole number using digits.

17. four hundred twelve

Solution

$412$

18. two hundred fifty-three

19. thirty-five thousand, nine hundred seventy-five

Solution

$35, 975$

20. sixty-one thousand, four hundred fifteen

21. eleven million, forty-four thousand, one hundred sixty-seven

Solution

$11, 044, 167$

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

$3, 226, 512, 017$

24. eleven billion, four hundred seventy-one million, thirty-six thousand, one hundred six

Exercises: Round to Indicated Place Value

Instructions: For questions 25-32, round to the indicated place value.

25. Round to the nearest ten.

a. $386$
b. $2, 931$

Solution

a. $390$
b. $2, 930$

26. Round to the nearest ten.

a. $792$
b. $5, 647$

27. Round to the nearest hundred.

a. $13, 748$
b. $391, 794$

Solution

a. $13, 700$
b. $391, 800$

28. Round to the nearest hundred.

a. $28, 166$
b. $481, 628$

29. Round to the nearest ten.

a. $1, 492$
b. $1, 497$

Solution

a. $1, 490$
b. $1, 500$

30. Round to the nearest ten.

a. $2, 791$
b. $2, 795$

31. Round to the nearest hundred.

a. $63, 994$
b. $63, 940$

Solution

a. $64, 000$
b. $63, 900$

32. Round to the nearest hundred.

a. $49, 584$
b. $49, 548$

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. $392, 546$

Solution

a. $392, 500$
b. $393, 000$
c. $390, 000$

34. $619, 348$

35. $2, 586, 991$

Solution

a. $2, 587, 000$
b. $2, 587, 000$
c. $2, 590, 000$

36. $4, 287, 965$

Exercises: Identify Multiples and Factors

Instructions: For questions 37-48, use the divisibility tests to determine whether each number is divisible by $2$ , $3$ , $5$ , $6$ , and $10$ .

37. $84$

Solution

divisible by $2$ , $3$ , and $6$

38. $9, 696$

39. $75$

Solution

divisible by $3$ and $5$

40. $78$

41. $900$

Solution

divisible by $2$ , $3$ , $5$ , $6$ , and $10$

42. $800$

43. $986$

Solution

divisible by $2$

44. $942$

45. $350$

Solution

divisible by $2$ , $5$ , and $10$

46. $550$

47. $22, 335$

Solution

divisible by $3$ and $5$

48. $39, 075$

Exercises: Find Prime Factorizations

Instructions: For questions 49-59, find the prime factorization.

49. $86$

Solution

$2, 43$

50. $78$

51. $132$

Solution

$2, 2, 3, 11$

52. $243$

53. $693$

Solution

$3, 3, 7, 11$

54. $455$

55. $432$

Solution

$2, 2, 2, 2, 3, 3, 3$

56. $400$

57. $2, 160$

Solution

$2, 2, 2, 2, 3, 3, 3, 5$

58. $627$

59. $2, 520$

Solution

$2, 2, 2, 2, 2, 2, 2, 2, 2, 5$

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. $8, 12$

Solution

$24$

61. $4, 3$

62. $12, 16$

Solution

$48$

63. $30, 40$

64. $20, 30$

Solution

$60$

65. $44, 55$

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. $8, 12$

Solution

$24$

67. $12, 16$

68. $28, 40$

Solution

$420$

69. $84, 90$

70. $55, 88$

Solution

$440$

71. $60, 72$

Exercises: Everyday Math

Instructions: For questions 72-79, answer the everyday math word problems.

72. Writing a Check. Jorge bought a car for $$ 24, 493$ . 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 $$ 18, 549$ . She wrote a check to the contractor. Write the amount paid in words.

74. Buying a Car: Jorge bought a car for $$ 24, 493$ . Round the price to the nearest

a. ten
b. hundred
c. thousand
d. ten-thousand

Solution

a. $$ 24, 490$
b. $$ 24, 500$
c. $$ 24, 000$
d. $$ 20, 000$

75. Remodeling a Kitchen. Marissa’s kitchen remodeling cost $$ 18, 549$ . Round the cost to the nearest

a. ten
b. hundred
c. thousand
d. ten-thousand

76. Population. The population of China was $1, 339, 724, 852$ on November 1, 2010. Round the population to the nearest

a. billion
b. hundred-million
c. million

Solution

a. $1, 000, 000, 000$
b. $1, 300, 000, 000$
c. $1, 340, 000, 000$

77. Astronomy. The average distance between Earth and the sun is $149, 597, 888$ 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 $10$ , 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

$40$

79. Grocery Shopping. Paper plates are sold in packages of $12$ 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 $2$ and by $3$ why is it also divisible by $6$ ?

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.

License

Icon for the Creative Commons Attribution-ShareAlike 4.0 International License

Fanshawe Pre-Health Sciences Mathematics 1 Copyright © 2022 by Domenic Spilotro, MSc is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License, except where otherwise noted.

License

Share This Book