# 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. $51\text{,}493$

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

Solution

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

2. $87\text{,}210$

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

3. $164\text{,}285$

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

Solution

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

4. $395\text{,}076$

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

5. $93\text{,}285\text{,}170$

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

Solution

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

6. $36\text{,}084\text{,}215$

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

7. $7\text{,}284\text{,}915\text{,}860\text{,}132$

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

Solution

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

8. $2\text{,}850\text{,}361\text{,}159\text{,}433$

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. $1\text{,}078$

Solution

one thousand, seventy-eight

10. $5\text{,}902$

11. $364\text{,}510$

Solution

three hundred sixty-four thousand, five hundred ten

12. $146\text{,}023$

13. $5\text{,}846\text{,}103$

Solution

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

14. $1\text{,}458\text{,}398$

15. $37\text{,}889\text{,}005$

Solution

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

16. $62\text{,}008\text{,}465$

## 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

$35\text{,}975$

20. sixty-one thousand, four hundred fifteen

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

Solution

$11\text{,}044\text{,}167$

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

$3\text{,}226\text{,}512\text{,}017$

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. $2\text{,}931$

Solution

a. $390$
b. $2\text{,}930$

26. Round to the nearest ten.

a. $792$
b. $5\text{,}647$

27. Round to the nearest hundred.

a. $13\text{,}748$
b. $391\text{,}794$

Solution

a. $13\text{,}700$
b. $391\text{,}800$

28. Round to the nearest hundred.

a. $28\text{,}166$
b. $481\text{,}628$

29. Round to the nearest ten.

a. $1\text{,}492$
b. $1\text{,}497$

Solution

a. $1\text{,}490$
b. $1\text{,}500$

30. Round to the nearest ten.

a. $2\text{,}791$
b. $2\text{,}795$

31. Round to the nearest hundred.

a. $63\text{,}994$
b. $63\text{,}940$

Solution

a. $64\text{,}000$
b. $63\text{,}900$

32. Round to the nearest hundred.

a. $49\text{,}584$
b. $49\text{,}548$

## 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. $392\text{,}546$

Solution

a. $392\text{,}500$
b. $393\text{,}000$
c. $390\text{,}000$

34. $619\text{,}348$

35. $2\text{,}586\text{,}991$

Solution

a. $2\text{,}587\text{,}000$
b. $2\text{,}587\text{,}000$
c. $2\text{,}590\text{,}000$

36. $4\text{,}287\text{,}965$

## 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. $9\text{,}696$

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. $22\text{,}335$

Solution

divisible by $3$ and $5$

48. $39\text{,}075$

## 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. $2\text{,}160$

Solution

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

58. $627$

59. $2\text{,}520$

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 $24\text{,}493$. 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 $18\text{,}549$. She wrote a check to the contractor. Write the amount paid in words.

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

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

Solution

a. $24\text{,}490$
b. $24\text{,}500$
c. $24\text{,}000$
d. $20\text{,}000$

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

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

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

a. billion
b. hundred-million
c. million

Solution

a. $1\text{,}000\text{,}000\text{,}000$
b. $1\text{,}300\text{,}000\text{,}000$
c. $1\text{,}340\text{,}000\text{,}000$

77. Astronomy. The average distance between Earth and the sun is $149\text{,}597\text{,}888$ 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