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<title>matikkaeditori</title>
<id>https://peda.net/id/419240427e8</id>
<updated>2017-08-11T14:30:53+03:00</updated>
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<rights type="html">&lt;div class=&quot;license&quot;&gt;Tämän sivun lisenssi &lt;a rel=&quot;license&quot; href=&quot;https://peda.net/info&quot;&gt;Peda.net-yleislisenssi&lt;/a&gt;&lt;/div&gt;&#10;</rights>

<entry>
<title>1dia</title>
<id>https://peda.net/id/a76aea307e8</id>
<updated>2017-08-11T14:38:54+03:00</updated>
<link href="https://peda.net/p/er%C3%A4.jorma/tst/kaavaeditori/1dia#top" />
<content type="html">&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=2%2B5%2B7%2B12%3D26&quot; alt=&quot;2+5+7+12=26&quot;/&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=2%5Ccdot5%2B7%3D17&quot; alt=&quot;2\cdot5+7=17&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B1%7D%7B4%7D%2B%5Cfrac%7B2%7D%7B3%7D%3D%5Cfrac%7B3%7D%7B12%7D%2B%5Cfrac%7B8%7D%7B12%7D%3D%5Cfrac%7B11%7D%7B12%7D&quot; alt=&quot;\frac{1}{4}+\frac{2}{3}=\frac{3}{12}+\frac{8}{12}=\frac{11}{12}&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B1%7D%7B4%7D%5Ccdot%5Cfrac%7B2%7D%7B3%7D%3D%5Cfrac%7B1%5Ccdot2%7D%7B4%5Ccdot3%7D%3D%5Cfrac%7B2%7D%7B12%7D%3D%5Cfrac%7B1%7D%7B6%7D&quot; alt=&quot;\frac{1}{4}\cdot\frac{2}{3}=\frac{1\cdot2}{4\cdot3}=\frac{2}{12}=\frac{1}{6}&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B1%7D%7B4%7D%3A%5Cfrac%7B2%7D%7B3%7D%3D%5Cfrac%7B1%7D%7B4%7D%5Ccdot%5Cfrac%7B3%7D%7B2%7D%3D%5Cfrac%7B3%7D%7B8%7D&quot; alt=&quot;\frac{1}{4}:\frac{2}{3}=\frac{1}{4}\cdot\frac{3}{2}=\frac{3}{8}&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cleft(%5Cfrac%7B2%7D%7B3%7D%5Cright)%5E2%3D%5Cfrac%7B2%5E2%7D%7B3%5E2%7D%3D%5Cfrac%7B4%7D%7B9%7D&quot; alt=&quot;\left(\frac{2}{3}\right)^2=\frac{2^2}{3^2}=\frac{4}{9}&quot;/&gt;</content>
<published>2017-08-11T14:38:54+03:00</published>
</entry>

<entry>
<title>dia10</title>
<id>https://peda.net/id/5233ad567e8</id>
<updated>2017-08-11T14:57:59+03:00</updated>
<link href="https://peda.net/p/er%C3%A4.jorma/tst/kaavaeditori/dia10#top" />
<content type="html">&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=k%3D%5Cfrac%7B5-1%7D%7B2-%5Cleft(-2%5Cright)%7D%3D%5Cfrac%7B4%7D%7B4%7D%3D1&quot; alt=&quot;k=\frac{5-1}{2-\left(-2\right)}=\frac{4}{4}=1&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=y-y_1%3Dk%5Ccdot%5Cleft(x-x_1%5Cright)%3A&quot; alt=&quot;y-y_1=k\cdot\left(x-x_1\right):&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=y-5%3D1%5Ccdot%5Cleft(x-2%5Cright)&quot; alt=&quot;y-5=1\cdot\left(x-2\right)&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=y-5%3Dx-2&quot; alt=&quot;y-5=x-2&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=y%3Dx-2%2B5&quot; alt=&quot;y=x-2+5&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=y%3Dx%2B3&quot; alt=&quot;y=x+3&quot;/&gt;</content>
<published>2017-08-11T14:57:59+03:00</published>
</entry>

<entry>
<title>dia2</title>
<id>https://peda.net/id/0a8cf43c7e8</id>
<updated>2017-08-11T14:41:40+03:00</updated>
<link href="https://peda.net/p/er%C3%A4.jorma/tst/kaavaeditori/dia2#top" />
<content type="html">&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=5%5E2%5Ccdot5%5E3%3D5%5E5&quot; alt=&quot;5^2\cdot5^3=5^5&quot;/&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=5%5E%7B2%3D25%7D&quot; alt=&quot;5^{2=25}&quot;/&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cleft(5%5E2%5Cright)%5E4%3D5%5E8&quot; alt=&quot;\left(5^2\right)^4=5^8&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cleft(2x%5E2%5Cright)%5E3%3D2%5E3%5Ccdot%5Cleft(x%5E2%5Cright)%5E3%3D8x%5E6&quot; alt=&quot;\left(2x^2\right)^3=2^3\cdot\left(x^2\right)^3=8x^6&quot;/&gt;</content>
<published>2017-08-11T14:41:40+03:00</published>
</entry>

<entry>
<title>dia3</title>
<id>https://peda.net/id/401ef6a47e8</id>
<updated>2017-08-11T14:43:10+03:00</updated>
<link href="https://peda.net/p/er%C3%A4.jorma/tst/kaavaeditori/dia3#top" />
<content type="html">&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=4x-5%3D-2x%2B7&quot; alt=&quot;4x-5=-2x+7&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=4x-5%3D-2x%2B7&quot; alt=&quot;4x-5=-2x+7&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=4x%2B2x%3D7%2B5&quot; alt=&quot;4x+2x=7+5&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=6x%3D12&quot; alt=&quot;6x=12&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=x%3D%5Cfrac%7B12%7D%7B6%7D%3D2&quot; alt=&quot;x=\frac{12}{6}=2&quot;/&gt;</content>
<published>2017-08-11T14:43:10+03:00</published>
</entry>

<entry>
<title>dia4</title>
<id>https://peda.net/id/a55a7d727e8</id>
<updated>2017-08-11T14:46:00+03:00</updated>
<link href="https://peda.net/p/er%C3%A4.jorma/tst/kaavaeditori/dia4#top" />
<content type="html">&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=a_n%3Da_1%2B%5Cleft(n-1%5Cright)%5Ccdot%20d&quot; alt=&quot;a_n=a_1+\left(n-1\right)\cdot d&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=a_1%3D2&quot; alt=&quot;a_1=2&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=d%3D4&quot; alt=&quot;d=4&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=an%3D2%2B%5Cleft(n-1%5Cright)%5Ccdot4%5C%20%3D2%2B4n-2&quot; alt=&quot;an=2+\left(n-1\right)\cdot4\ =2+4n-2&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=4n-2%3D506&quot; alt=&quot;4n-2=506&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=4n%3D508&quot; alt=&quot;4n=508&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=n%3D127&quot; alt=&quot;n=127&quot;/&gt;</content>
<published>2017-08-11T14:46:00+03:00</published>
</entry>

<entry>
<title>dia5</title>
<id>https://peda.net/id/bf39b46a7e8</id>
<updated>2017-08-11T14:46:43+03:00</updated>
<link href="https://peda.net/p/er%C3%A4.jorma/tst/kaavaeditori/dia5#top" />
<content type="html">&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B20%7D%7B16%7D%3D1%2C25%3D125%5C%25&quot; alt=&quot;\frac{20}{16}=1,25=125\%&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=125%5C%25-100%5C%25%3D25%5C%25&quot; alt=&quot;125\%-100\%=25\%&quot;/&gt;</content>
<published>2017-08-11T14:46:43+03:00</published>
</entry>

<entry>
<title>dia6</title>
<id>https://peda.net/id/1ceb3b067e8</id>
<updated>2017-08-11T14:49:20+03:00</updated>
<link href="https://peda.net/p/er%C3%A4.jorma/tst/kaavaeditori/dia6#top" />
<content type="html">&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Csum_%7Bk-1%7D%5E%7B15%7D2%5Ek&quot; alt=&quot;\sum_{k-1}^{15}2^k&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=a_1%3D2&quot; alt=&quot;a_1=2&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=q%3D2&quot; alt=&quot;q=2&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=n%3D15&quot; alt=&quot;n=15&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=S_%7B15%7D%5Cfrac%7B2%5Ccdot%5Cleft(1-2%5E%7B15%7D%5Cright)%7D%7B1-2%7D%3D%5Cfrac%7B2%5Ccdot%5Cleft(-32767%5Cright)%7D%7B-1%7D%3D65534&quot; alt=&quot;S_{15}\frac{2\cdot\left(1-2^{15}\right)}{1-2}=\frac{2\cdot\left(-32767\right)}{-1}=65534&quot;/&gt;</content>
<published>2017-08-11T14:49:20+03:00</published>
</entry>

<entry>
<title>dia7</title>
<id>https://peda.net/id/855da9447e8</id>
<updated>2017-08-11T14:52:16+03:00</updated>
<link href="https://peda.net/p/er%C3%A4.jorma/tst/kaavaeditori/dia7#top" />
<content type="html">&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=2%5Ex%3D8%5Ccdot16&quot; alt=&quot;2^x=8\cdot16&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=2%5Ex%3D%5Cleft(2%5E3%5Cright)%5E7&quot; alt=&quot;2^x=\left(2^3\right)^7&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=2%5Ex%3D8%5Ccdot16&quot; alt=&quot;2^x=8\cdot16&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=2%5Ex%3D2%5E3%5Ccdot2%5E4&quot; alt=&quot;2^x=2^3\cdot2^4&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=2%5Ex%3D2%5E%7B3%2B4%7D&quot; alt=&quot;2^x=2^{3+4}&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=2%5Ex%3D2%5E7&quot; alt=&quot;2^x=2^7&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=X%3D7&quot; alt=&quot;X=7&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=2%5Ex%3D%5Cleft(2%5E3%5Cright)%5E7&quot; alt=&quot;2^x=\left(2^3\right)^7&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=2%5Ex%3D2%5E%7B3%5Ccdot7%7D&quot; alt=&quot;2^x=2^{3\cdot7}&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=2%5Ex%3D2%5E%7B21%7D&quot; alt=&quot;2^x=2^{21}&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=x%3D21&quot; alt=&quot;x=21&quot;/&gt;</content>
<published>2017-08-11T14:52:16+03:00</published>
</entry>

<entry>
<title>dia8</title>
<id>https://peda.net/id/b417300c7e8</id>
<updated>2017-08-11T14:53:34+03:00</updated>
<link href="https://peda.net/p/er%C3%A4.jorma/tst/kaavaeditori/dia8#top" />
<content type="html">&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B5%7D%7B3%7D%3D%5Cfrac%7B2%7D%7Bx%7D&quot; alt=&quot;\frac{5}{3}=\frac{2}{x}&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=5%5Ccdot%20x%3D3%5Ccdot2&quot; alt=&quot;5\cdot x=3\cdot2&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=5x%3D6&quot; alt=&quot;5x=6&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=x%3D%5Cfrac%7B6%7D%7B5%7D%3D1%2C20%E2%82%AC&quot; alt=&quot;x=\frac{6}{5}=1,20€&quot;/&gt;</content>
<published>2017-08-11T14:53:34+03:00</published>
</entry>

<entry>
<title>dia9</title>
<id>https://peda.net/id/0cbeb1767e8</id>
<updated>2017-08-11T14:56:03+03:00</updated>
<link href="https://peda.net/p/er%C3%A4.jorma/tst/kaavaeditori/dia9#top" />
<content type="html">&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=x%5E2%2B4%2C2%5E2%3D7%2C0%5E2&quot; alt=&quot;x^2+4,2^2=7,0^2&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=x%5E2%2B17%2C64%3D49&quot; alt=&quot;x^2+17,64=49&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=x%5E2%3D49-17%2C64&quot; alt=&quot;x^2=49-17,64&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=x%5E2%3D31%2C36&quot; alt=&quot;x^2=31,36&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=x%3D%5Csqrt%7B31%2C36%7D&quot; alt=&quot;x=\sqrt{31,36}&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=x%3D5%2C6&quot; alt=&quot;x=5,6&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Csin%5Calpha%3D%5Cfrac%7B18%7D%7B24%7D&quot; alt=&quot;\sin\alpha=\frac{18}{24}&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Calpha%3D48%2C590...%C2%B0&quot; alt=&quot;\alpha=48,590...°&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Calpha%5Capprox49%C2%B0&quot; alt=&quot;\alpha\approx49°&quot;/&gt;</content>
<published>2017-08-11T14:56:03+03:00</published>
</entry>


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