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6.07:_Matching_Game
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<p class="lt-math-13649">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.</p> <p class="lt-math-13649">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.</p> <span id="Fractions"></span><h2 class="lt-math-13649">Fractions</h2> <table class="mt-responsive-table"> <tbody> <tr> <td class="mt-noheading lt-math-13649">(a) \(\frac{1}{5}\)</td> <td class="mt-noheading lt-math-13649">(b) \(\frac{1}{3}\)</td> <td class="mt-noheading lt-math-13649">(c) \(\frac{2}{3}\)</td> </tr> <tr> <td class="mt-noheading lt-math-13649">(d) \(\frac{9}{8}\)</td> <td class="mt-noheading lt-math-13649">(e) \(\frac{15}{16}\)</td> <td class="mt-noheading lt-math-13649">(f) \(\frac{25}{100}\)</td> </tr> <tr> <td class="mt-noheading lt-math-13649">(g) \(\frac{3}{4}\)</td> <td class="mt-noheading lt-math-13649">(h) \(\frac{33}{100}\)</td> <td class="mt-noheading lt-math-13649">(i) \(\frac{3}{25}\)</td> </tr> <tr> <td class="mt-noheading lt-math-13649">(j) \(\frac{1}{4}\)</td> <td class="mt-noheading lt-math-13649">(k) \(\frac{6}{5}\)</td> <td class="mt-noheading lt-math-13649">(<img alt="\ell" src="http://pressbooks.oer.hawaii.edu/mathforelementaryteachers/wp-content/ql-cache/quicklatex.com-60a459ae9865dcfc0c8e6ef5a9a10d2b_l3.svg" title="Rendered by QuickLaTeX.com" />) \(\frac{2}{5}\)</td> </tr> <tr> <td class="mt-noheading lt-math-13649">(m) \(\frac{4}{100}\)</td> <td class="mt-noheading lt-math-13649">(n) \(\frac{2}{10}\)</td> <td class="mt-noheading lt-math-13649">(o) \(\frac{1}{2}\)</td> </tr> </tbody> </table> <span id="Points_on_a_number_line"></span><h3 class="lt-math-13649">Points on a number line</h3> <table class="mt-responsive-table"> <tbody> <tr> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="15sixteenths.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11513/15sixteenths.png?revision=1" /><br /> Point 1</td> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="33hundredths.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11514/33hundredths.png?revision=1" /><br /> Point 2</td> </tr> <tr> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="nineeighths-300x35.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11515/nineeighths-300x35.png?revision=1" /><br /> Point 3</td> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="one25th.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11516/one25th.png?revision=1" /><br /> Point 4</td> </tr> <tr> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="onefifth.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11517/onefifth.png?revision=1" /><br /> Point 5</td> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="onethird.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11518/onethird.png?revision=1" /><br /> Point 6</td> </tr> <tr> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="onehalf.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11519/onehalf.png?revision=1" /><br /> Point 7</td> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="twofifths.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11520/twofifths.png?revision=1" /><br /> Point 8</td> </tr> <tr> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="sixfifths-300x33.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11521/sixfifths-300x33.png?revision=1" /><br /> Point 9</td> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="onefifth.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11517/onefifth.png?revision=1" /><br /> Point 10</td> </tr> <tr> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="threefourths.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11522/threefourths.png?revision=1" /><br /> Point 11</td> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="twothirds.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11523/twothirds.png?revision=1" /><br /> Point 12</td> </tr> <tr> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="three25ths.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11524/three25ths.png?revision=1" /><br /> Point 13</td> </tr> </tbody> </table> <span id="Decimals"></span><h3 class="lt-math-13649">Decimals</h3> <table class="mt-responsive-table"> <tbody> <tr> <td class="mt-noheading lt-math-13649">(i) 1.20</td> <td class="mt-noheading lt-math-13649">(ii) \(0. \bar{6}\)</td> <td class="mt-noheading lt-math-13649">(iii) 0.33</td> </tr> <tr> <td class="mt-noheading lt-math-13649">(iv) 0.25</td> <td class="mt-noheading lt-math-13649">(v) 0.5</td> <td class="mt-noheading lt-math-13649">(vi) 0.200</td> </tr> <tr> <td class="mt-noheading lt-math-13649">(vii) 0.75</td> <td class="mt-noheading lt-math-13649">(viii) \(0. \bar{3}\)</td> <td class="mt-noheading lt-math-13649">(ix) 0.2</td> </tr> <tr> <td class="mt-noheading lt-math-13649">(x) 1.125</td> <td class="mt-noheading lt-math-13649">(xi) 0.12</td> <td class="mt-noheading lt-math-13649">(xii) 0.04</td> </tr> <tr> <td class="mt-noheading lt-math-13649">(xiii) 0.40</td> <td class="mt-noheading lt-math-13649">(xiv) 0.50</td> <td class="mt-noheading lt-math-13649">(xv) 0.9375</td> </tr> </tbody> </table> <span id="Pictures"></span><h3 class="lt-math-13649">Pictures</h3> <table class="mt-responsive-table"> <tbody> <tr> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="twothirdsgrid-300x300.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11525/twothirdsgrid-300x300.png?revision=1" /><br /> Picture A</td> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="1516thsgrid-300x300.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11526/1516thsgrid-300x300.png?revision=1" /><br /> Picture B</td> </tr> <tr> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="halfgrida-300x300.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11527/halfgrida-300x300.png?revision=1" /><br /> Picture C</td> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="twofifthsgrid-300x300.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11528/twofifthsgrid-300x300.png?revision=1" /><br /> Picture D</td> </tr> <tr> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="quartergridc-300x300.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11529/quartergridc-300x300.png?revision=1" /><br /> Picture E</td> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="3fourthsgrida-300x300.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11530/3fourthsgrida-300x300.png?revision=1" /><br /> Picture F</td> </tr> <tr> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="onefifthgridb-300x300.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11531/onefifthgridb-300x300.png?revision=1" /><br /> Picture G</td> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="325thsgridb-300x300.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11532/325thsgridb-300x300.png?revision=1" /><br /> Picture H</td> </tr> <tr> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="halfgridb-300x300.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11533/halfgridb-300x300.png?revision=1" /><br /> Picture I</td> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="onefifthgrida-300x300.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11534/onefifthgrida-300x300.png?revision=1" /><br /> Picture J</td> </tr> <tr> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="quartergridb-300x300.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11535/quartergridb-300x300.png?revision=1" /><br /> Picture K</td> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="onethirdgrid-300x300.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11536/onethirdgrid-300x300.png?revision=1" /><br /> Picture L</td> </tr> <tr> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="quartergrida-300x300.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11537/quartergrida-300x300.png?revision=1" /><br /> Picture M</td> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="3fourthsgridb-300x300.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11538/3fourthsgridb-300x300.png?revision=1" /><br /> Picture N</td> </tr> <tr> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="325thsgrida-300x300.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11539/325thsgrida-300x300.png?revision=1" /><br /> Picture O</td> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="33hundredthsgrid-300x300.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11540/33hundredthsgrid-300x300.png?revision=1" /><br /> Picture P</td> </tr> <tr> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="1point2grid-300x250.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11541/1point2grid-300x250.png?revision=1" /><br /> Picture Q</td> <td class="mt-align-center mt-noheading lt-math-13649"><img alt="9eighthsgrid-300x253.png" class="internal" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11542/9eighthsgrid-300x253.png?revision=1" /><br /> Picture R</td> </tr> </tbody> </table>
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