Download Chapter 1 Summary

Chapter 1 Summary
Section 1.1
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Writing word names for numbers
Using inequality symbols
Writing numbers in expanded form
Rounding numbers to a given place value
Section 1.2
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Addition of whole numbers
Subtraction of whole numbers
Multiplication of whole numbers
Division of whole numbers
Properties of addition and multiplication
Applying the operations to application problems
Section 1.3
• Computation of exponents
• Writing numbers in exponential form
• Using order of operations to compute expressions
Section 1.4
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Finding the factors of a number
Determine whether a number is prime or composite
Finding the prime factorization of a number
The Fundamental Theorem of Arithmetic
Section 1.5
• Finding the greatest common factor (GCF)
• Listing multiples of a number
• Finding the least common multiple (LCM)
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Chapter 1 Review Exercises
Determine the place value of the digit 3 in the following numbers.
1.
3.
3,125
5,386,076
2.
4.
138,520
63,846,251
6.
8.
26,491
2,485,652
Write the word name for the following numbers.
5.
7.
5,280
145,826
Determine the appropriate inequality symbols which will make each statement true (more than
one symbol may apply).
9. 13 ____ 30
11. 14 ____ 14
10. 60 ____ 59
12. 4,999 ____ 5,000
Write the expanded form for the following numbers.
13. 4,852
15. 135,480
14. 26,087
16. 5,267,057
Write the value of each of the following expressions.
17. 900 + 80 + 5
19. 8 + 400 + 2,000
18. 5,000 + 600 + 20 + 7
20. 400 + 60,000 + 5,000 + 9
Round each of the following numbers to the indicated place value.
21. 846; tens
23. 6,550; thousands
22. 5,549; hundreds
24. 6,874,921; ten-thousands
Determine whether each statement is true or false.
25. 38 < 38
27. 100 ≥ 99
26. 40 ≥ 40
28. 799 > 800
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Each of the following numbers has been rounded. In each case, give the accuracy of the rounded
number.
29. 120
31. 127,000
30. 800
32. 6,400,000
Arrange the following numbers from smallest to largest using the < symbol.
33. 5624, 5642, 5462, 5426, 5246, 5264
34. 7865, 7856, 8765, 8756, 8657, 8675, 8576, 8567
Perform the following additions and subtractions.
35. 3,879 + 5,453
37. 1,056 – 469
36. 17,648 + 9,967
38. 203,420 – 56,469
Perform the following multiplications.
39. 157 • 38
41. 287 x 79
40. 56 • 4,800
42. 111 x 897
Perform the following divisions.
43. 17,556 ÷ 38
45. 125,000 ÷ 100
44. 9,720 ÷ 27
46. 1,798 ÷ 35
In the following exercises, a property of whole numbers is illustrated. Give the name of the
property being illustrated.
47. 38 + 129 = 129 + 38
49. 49 • (12 • 16) = (49 • 12) • 16
48. If 36 • a = 0, then a = 0.
50. 47 + 0 = 0 + 47 = 47
Answer each of the following application questions.
51. Monique sells knife sets for $25 and $42. If she sells 12 of the cheaper sets and 8 of
the more expensive sets, how much revenue does she earn?
52. Jerry pays $268 per month for a farm equipment loan. If he pays this loan for 12 years,
what is the total cost of the loan to Jerry?
53. Todd signs a luxury car lease for $20,448. If the lease is for three years, how much are
his monthly payments?
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54. Bernice has 65 $1 bills, 37 $5 bills, and 12 $10 bills in her suitcase. How much money
does she have in her suitcase?
Compute the following exponents.
55. 8 2
57. 0 9
56. 5 3
58. 2 8
Write each of the following numbers in exponential form.
59. 198
61. 24,760
60. 6,580
62. 156,765
Write each of the following exponential numbers in standard (number) form.
63. 3 • 10 4 + 8 • 10 2 + 7 • 101 + 5
65. 5 • 10 6 + 3 • 10 4 + 8 • 10 3 + 9 • 10 2 + 7
64. 5 • 10 3 + 7 • 10 2 + 8 • 101 + 4
66. 5 • 10 6 + 8 • 10 5 + 3 • 10 3 + 9 • 101
Simplify each of the following expressions using the order of operations agreement.
67.
(12 ! 2 • 4 )3
68. 50 ! 6 • 4
70. 5 (12 ! 5 ) ! 24 ÷ 3
69. 48 ÷ 4 2
72. 2 (11 ! 3 • 2 ) ! 3( 3 + 2 • 2 )
71. 45 ÷ 5 + 3 • 6 ! 3 • 2 2
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List all factors of the given number.
73. 20
75. 60
74. 45
76. 175
Determine whether each number is prime or composite.
77. 203
79. 211
78. 121
80. 413
Find the prime factorization of each number. If the number is prime, write prime.
81. 120
83. 342
82. 455
84. 460
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2
Find the (a) greatest common factor and (b) least common multiple for each set of numbers by
listing factors and multiples.
85. 25, 40
87. 9, 15, 21
86. 12, 16
88. 8, 12, 15
Find the (a) greatest common factor and (b) least common multiple for each set of numbers by
using primes.
89. 36, 54
91. 15, 21, 45
90. 145, 180
92. 16, 24, 40
Find the (a) greatest common factor and (b) least common multiple for each set of expressions.
93. 12x 2 y 5 ,16x 4 y 3
95. 6x 3 y 4 , 8x 4 y 5 ,10x 3 y
94. 25x 3 y 8 , 35x 7 y 4
96. 5x 5 y 4 ,10x 4 y 3 ,15x 3 y 7
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