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7.4: Appendix D

  • Page ID
    51020
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    Chapter 2

    Section 2.2

    1. 1063 feet
    2. 5 pounds, 8 ounces
    3. $100 trillion 

    Section 2.3

    1. There are 5 trikes and 2 bikes
    2. 21 cents
    3. 56 seconds
    4. 7 pieces; yes
    5. \(\dfrac{1}{5}\) are chickens
    6. $198.65

    Section 2.4

    1. \(\overline{V I I I V} D C C L I X\) 
    2. 2020
    3. 1982
    4. MDCCLXIV 
    5. \(\bar{L}\) 
    6. 20089

    Section 2.5

    1. The character 4 does not exist in base four
    2. “Five-four-two base six”
    3. 0, 1, 2       10, 11, 12,       20, 21, 22       100, 101, 102
    4. Answers vary 

    Section 2.6

    1.  
      1. \(7565_{\text {nine}}\)
      2. \(30_{\text {four}}\)
      3. \(10201_{\text {three}}\)
      4. \(1001001_{\text {two}}\)
    2.  
      1. \(46_{\text {ten}}\)
      2. \(111_{\text {ten}}\)
      3. \(73_{\text {ten}}\)
      4. \(123256_{\text {ten}}\)

    Section 2.7

    1. Eighty-ones
    2. Six hundred twenty-fives
    3. Six thousand sixty-ones
    4. Thirty eight thousand four hundred sixteens

    Section 2.8

    1. \(404_{\text {six}}\)

    2. \(1011_{\text {two}}\)

    3. \(2121_{\text {three}}\)

    4. \(104542_{\text {eight}}\)

    Section 3.2

    1. 50 + 80 + 6 + 1 = 137
    2. 1000 – 300 + 16 = 716
    3. 95 + 800 = 895
    4. 761 – 450 = 760 – 450 + 1 =311

    Section 3.3

    1. 7 + 7 + 7 + 7
    2. 2 + 2 + 2 + 2 + 2 + 2
    3. 36.6034
    4. 179.1908

    Section 3.4

    1. 7 coworkers; repeat subtraction
    2. 3 pieces of paper; Sharing

    Section 3.5

    1. The answers below are precise. Your answers must be close.
      1. 16.5 
      2. 76
    2. These answers must be precise.
      1. 16.46
      2. $49.35
      3. 82
    3. These answers are precise. Your answer must be close. 
      1. $6.48
      2. $11.36
      3. $16.39
    4. Your answers must be exact.
      1. 72
      2. 72
      3. Same answers
    5. Your answers must be exact.
      1. 866
      2. 65322

    Section 3.6

    Answers vary. Here are some sample answers:

    1 meter = the height of a short woman

    1 inch = distance from nail to join on my thumb

    1 foot = length from my elbow to my wrist

    1 yard = The height of preschooler

    Section 3.7

    1. 309.26
    2. 92.86%
    3. 114.06

    Chapter 4

    Section 4.2

    1. Two possible ways to show \(3 \dfrac{1}{2}\)
      1. Rectangles: clipboard_e4a73c597e1870bdccb728ac233e0008c.png
      2. Number Line: clipboard_e6357633ac51cd8836a92c1263cd78fd4.png
    2. \(\dfrac{1}{9}, \dfrac{3}{8}, \dfrac{2}{5}, \dfrac{4}{7}, \dfrac{12}{13}\)

    Section 4.3

    1. \(\dfrac{53}{28}\)
    2. \(\dfrac{11}{28}\)
    3. \(\dfrac{6}{7}\)
    4. \(\dfrac{3}{224}\)
    5. \(\dfrac{257}{30}\) or \(8 \dfrac{17}{30}\)
    6. \(\dfrac{67}{30}\) or \(2 \dfrac{7}{30}\)
    7. \(\dfrac{171}{10}\) or \(17 \dfrac{1}{10}\)
    8. \(\dfrac{162}{95}\) or \(1 \dfrac{67}{95}\)

    Section 4.4

    1. Natural, Whole, Integers, Rational and Real 
    2. Rational and Real
    3. Irrational
    4. Natural, Whole, Integers, Rational, and Real 
    5. Irrational
    6. Integers, Rational, Real
    7. Whole, Integers, Rational and Real
    8. Natural, Whole, Integers, Rational and Real
    9. 29
    10. 147
    11. -277
    12. -11
    13. 276
    14. Distributive Property
    15. Communitive Property of Multiplication 
    16. Reflexive Property
    17. Transitive Property

    Chapter 5

    Section 5.2

    1. 1, 2, 4, 7, 8, 14, 28, 56
    2. 1, 5, 29, 145
    3. 1,2,4,8,16,32
    4. 50, 100, 150, 200
    5. 23, 46, 69, 92
    6. 8, 16, 24, 32
    7. 23,29,31,37
    8. 61,67,71,73,79
    9. 127, 131, 137, 139, 149
    10. 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40
    11. 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80
    12. 120, 121, 122, 123, 124, 125, 126, 128, 129, 130, 132, 133, 134, 135, 136, 138, 140, 141, 142, 143, 144, 145, 146, 147, 148, 150
    13. \(2^{2} \cdot 3^{3} \cdot 5\)
    14. \(2^{2} \cdot 3 \cdot 5\)
    15. \(5^{3}\)

    Section 5.3

    Table 7.4.1
     

    2

    3

    4

    5

    6

    8

    9

    10

    67820

    X

     

    X

    X

         

    X

    512

    X

     

    X

       

    X

       

    49

                   

    3463

                   

    Section 5.4

    1. 10
    2. 25
    3. 1
    4. 30
    5. 45

    Section 5.5

    1. 360
    2. 75
    3. 14280
    4. 1800
    5. 2025
    6. \(\dfrac{131}{60}\)
    7. \(-\dfrac{7}{144}\)
    8. \(\dfrac{27}{13}\)

    Chapter 6

    Section 6.2

    1. 55
    2. 46
    3. 121
    4. 140
    5. 95
    6. 90
    7. Obtuse
    8. Straight
    9. Acute
    10. Right
    11. Acute
    12. Equiangular
    13. Acute scalene 
    14. Right scalene 
    15. clipboard_eb90edd91ce663b8cee79d8fe5f6bb4b6.png 
    16. Does not exist 
    17. Octagon
    18. Heptagon
    19. 360
    20. 1617
    21. 1800
    22. 1260
    23. Irregular 
    24. Regular
    25. Regular 
    26. Irregular 

    Section 6.3

    1. Area is amount inside a two dimensional shape, surface area is the area around a three dimensional shape, volume is the amount of space inside a three dimensional shape
    2.  
      1. \(2 \text { units}^2\)
      2. About \(2 \text { units}^2\)
      3. About \(2.5 \text { units}^2\)
    3.  
      1. \(28 \text { units}^2\)
      2. \(24 \text { units}^2\)
    4.  
      1. \(7 \text { units}^3\)
      2. \(6 \text { units}^3\)

    Section 6.4

    1. 0.00795455 miles or \(\dfrac{7}{880}\) miles
    2. 2.25 yards or \(\dfrac{9}{4}\) yards
    3. 59840 yards
    4. 3276 inches

    Section 6.5

    1. \(254.3 \text { cm}^2\)
    2. \(28.3 \text { miles}^2\)
    3. \(232.2 \text { cm}^2\)
    4. \(153.9 \text { meters}^2\)
    5. \(25.9 \text { cm}^2\)
    6. \(60.4 \text { miles}^2\)
    7. \(7.3 \text { miles}^2\)
    8. \(2.9 \text { inches}^2\)2
    9. Triangular pyramid 
    10. Hexagonal prism 
    11. Cylinder 
    12. Rectangular pyramid
    13. \(59.2 \pi \text { ft}^2\)
    14. \(116.4\pi \text { in}^2\)
    15. \(462 \pi \text { km}^2\)
    16. \(323.5 \text { ft}^2\)
    17. \(99 \text { cm}^2\)
    18. \(1152 \pi \text { m}^3\)
    19. \(1.33 \pi \text { m}^3\)
    20. \(1774.67 \pi \text { km}^3\)
    21. \(273.84 \pi \text { ft}^3\)
    22. \(27 \pi \text { mi}^3\)
    23. \(168 \text {km}^3\)
    24. \(1296 \pi \text { mi}^3\)
    25. \(84 \text { m}^3\)

    This page titled 7.4: Appendix D is shared under a not declared license and was authored, remixed, and/or curated by Amy Lagusker.

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