6.7: Matching Game
- Page ID
- 13649
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)In this section, you’ll find numbers described in various ways: as fractions, as points on a number line, as decimals, and in a picture. Your job is to match these up in a way that makes sense.
Note: there may be more than one fraction to match a given decimal, or more than one picture to match a given point on the number line. So be ready to justify your answers.
Fractions
(a) \(\frac{1}{5}\) | (b) \(\frac{1}{3}\) | (c) \(\frac{2}{3}\) |
(d) \(\frac{9}{8}\) | (e) \(\frac{15}{16}\) | (f) \(\frac{25}{100}\) |
(g) \(\frac{3}{4}\) | (h) \(\frac{33}{100}\) | (i) \(\frac{3}{25}\) |
(j) \(\frac{1}{4}\) | (k) \(\frac{6}{5}\) | () \(\frac{2}{5}\) |
(m) \(\frac{4}{100}\) | (n) \(\frac{2}{10}\) | (o) \(\frac{1}{2}\) |
Points on a number line
Point 1 |
Point 2 |
Point 3 |
Point 4 |
Point 5 |
Point 6 |
Point 7 |
Point 8 |
Point 9 |
Point 10 |
Point 11 |
Point 12 |
Point 13 |
Decimals
(i) 1.20 | (ii) \(0. \bar{6}\) | (iii) 0.33 |
(iv) 0.25 | (v) 0.5 | (vi) 0.200 |
(vii) 0.75 | (viii) \(0. \bar{3}\) | (ix) 0.2 |
(x) 1.125 | (xi) 0.12 | (xii) 0.04 |
(xiii) 0.40 | (xiv) 0.50 | (xv) 0.9375 |
Pictures
Picture A |
Picture B |
Picture C |
Picture D |
Picture E |
Picture F |
Picture G |
Picture H |
Picture I |
Picture J |
Picture K |
Picture L |
Picture M |
Picture N |
Picture O |
Picture P |
Picture Q |
Picture R |