7.4: Appendix D
- Page ID
- 51020
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Chapter 2
Section 2.2
- 1063 feet
- 5 pounds, 8 ounces
- $100 trillion
Section 2.3
- There are 5 trikes and 2 bikes
- 21 cents
- 56 seconds
- 7 pieces; yes
- \(\dfrac{1}{5}\) are chickens
- $198.65
Section 2.4
- \(\overline{V I I I V} D C C L I X\)
- 2020
- 1982
- MDCCLXIV
- \(\bar{L}\)
- 20089
Section 2.5
- The character 4 does not exist in base four
- “Five-four-two base six”
- 0, 1, 2 10, 11, 12, 20, 21, 22 100, 101, 102
- Answers vary
Section 2.6
-
- \(7565_{\text {nine}}\)
- \(30_{\text {four}}\)
- \(10201_{\text {three}}\)
- \(1001001_{\text {two}}\)
-
- \(46_{\text {ten}}\)
- \(111_{\text {ten}}\)
- \(73_{\text {ten}}\)
- \(123256_{\text {ten}}\)
Section 2.7
- Eighty-ones
- Six hundred twenty-fives
- Six thousand sixty-ones
- Thirty eight thousand four hundred sixteens
Section 2.8
-
\(404_{\text {six}}\)
-
\(1011_{\text {two}}\)
-
\(2121_{\text {three}}\)
-
\(104542_{\text {eight}}\)
Chapter 3
Section 3.2
- 50 + 80 + 6 + 1 = 137
- 1000 – 300 + 16 = 716
- 95 + 800 = 895
- 761 – 450 = 760 – 450 + 1 =311
Section 3.3
- 7 + 7 + 7 + 7
- 2 + 2 + 2 + 2 + 2 + 2
- 36.6034
- 179.1908
Section 3.4
- 7 coworkers; repeat subtraction
- 3 pieces of paper; Sharing
Section 3.5
- The answers below are precise. Your answers must be close.
- 16.5
- 76
- These answers must be precise.
- 16.46
- $49.35
- 82
- These answers are precise. Your answer must be close.
- $6.48
- $11.36
- $16.39
- Your answers must be exact.
- 72
- 72
- Same answers
- Your answers must be exact.
- 866
- 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
- 309.26
- 92.86%
- 114.06
Chapter 4
Section 4.2
- Two possible ways to show \(3 \dfrac{1}{2}\)
- Rectangles:
- Number Line:
- \(\dfrac{1}{9}, \dfrac{3}{8}, \dfrac{2}{5}, \dfrac{4}{7}, \dfrac{12}{13}\)
Section 4.3
- \(\dfrac{53}{28}\)
- \(\dfrac{11}{28}\)
- \(\dfrac{6}{7}\)
- \(\dfrac{3}{224}\)
- \(\dfrac{257}{30}\) or \(8 \dfrac{17}{30}\)
- \(\dfrac{67}{30}\) or \(2 \dfrac{7}{30}\)
- \(\dfrac{171}{10}\) or \(17 \dfrac{1}{10}\)
- \(\dfrac{162}{95}\) or \(1 \dfrac{67}{95}\)
Section 4.4
- Natural, Whole, Integers, Rational and Real
- Rational and Real
- Irrational
- Natural, Whole, Integers, Rational, and Real
- Irrational
- Integers, Rational, Real
- Whole, Integers, Rational and Real
- Natural, Whole, Integers, Rational and Real
- 29
- 147
- -277
- -11
- 276
- Distributive Property
- Communitive Property of Multiplication
- Reflexive Property
- Transitive Property
Chapter 5
Section 5.2
- 1, 2, 4, 7, 8, 14, 28, 56
- 1, 5, 29, 145
- 1,2,4,8,16,32
- 50, 100, 150, 200
- 23, 46, 69, 92
- 8, 16, 24, 32
- 23,29,31,37
- 61,67,71,73,79
- 127, 131, 137, 139, 149
- 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40
- 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80
- 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
- \(2^{2} \cdot 3^{3} \cdot 5\)
- \(2^{2} \cdot 3 \cdot 5\)
- \(5^{3}\)
Section 5.3
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Section 5.4
- 10
- 25
- 1
- 30
- 45
Section 5.5
- 360
- 75
- 14280
- 1800
- 2025
- \(\dfrac{131}{60}\)
- \(-\dfrac{7}{144}\)
- \(\dfrac{27}{13}\)
Chapter 6
Section 6.2
- 55
- 46
- 121
- 140
- 95
- 90
- Obtuse
- Straight
- Acute
- Right
- Acute
- Equiangular
- Acute scalene
- Right scalene
- Does not exist
- Octagon
- Heptagon
- 360
- 1617
- 1800
- 1260
- Irregular
- Regular
- Regular
- Irregular
Section 6.3
- 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
-
- \(2 \text { units}^2\)
- About \(2 \text { units}^2\)
- About \(2.5 \text { units}^2\)
-
- \(28 \text { units}^2\)
- \(24 \text { units}^2\)
-
- \(7 \text { units}^3\)
- \(6 \text { units}^3\)
Section 6.4
- 0.00795455 miles or \(\dfrac{7}{880}\) miles
- 2.25 yards or \(\dfrac{9}{4}\) yards
- 59840 yards
- 3276 inches
Section 6.5
- \(254.3 \text { cm}^2\)
- \(28.3 \text { miles}^2\)
- \(232.2 \text { cm}^2\)
- \(153.9 \text { meters}^2\)
- \(25.9 \text { cm}^2\)
- \(60.4 \text { miles}^2\)
- \(7.3 \text { miles}^2\)
- \(2.9 \text { inches}^2\)2
- Triangular pyramid
- Hexagonal prism
- Cylinder
- Rectangular pyramid
- \(59.2 \pi \text { ft}^2\)
- \(116.4\pi \text { in}^2\)
- \(462 \pi \text { km}^2\)
- \(323.5 \text { ft}^2\)
- \(99 \text { cm}^2\)
- \(1152 \pi \text { m}^3\)
- \(1.33 \pi \text { m}^3\)
- \(1774.67 \pi \text { km}^3\)
- \(273.84 \pi \text { ft}^3\)
- \(27 \pi \text { mi}^3\)
- \(168 \text {km}^3\)
- \(1296 \pi \text { mi}^3\)
- \(84 \text { m}^3\)