Övn 1.1

Sommarmatte 1

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Rad 1:		Rad 1:
-	==Övning 1.1:1==
-	<div class="ovning">
-	Beräkna (utan hjälp av räknedosa)
-	<table width="100%" cellspacing="10px">
-	<tr align="left">
-	<td class="ntext">a)</td>
-	<td class="ntext" width="50%">$3-7-4+6-5$</td>
-	<td class="ntext">b)</td>
-	<td class="ntext" width="50%">$3-(7-4)+(6-5)$</td>
-	</tr>
-	<tr align="left">
-	<td class="ntext">c)</td>
-	<td class="ntext" width="50%">$3-(7-(4+6)-5)$</td>
-	<td class="ntext">d)</td>
-	<td class="ntext" width="50%">$3-(7-(4+6))-5$</td>
-	</tr>
-	<tr><td height="5px"/></tr>
-	</table>
-	</div>
-
-
-	==Övning 1.1:2==
-	<div class="ovning">
-	Beräkna (utan hjälp av räknedosa)
-	<table width="100%" cellspacing="10px">
-	<tr align="left">
-	<td class="ntext">a)</td>
-	<td class="ntext" width="50%">$(3-(7-4))(6-5)$</td>
-	<td class="ntext">b)</td>
-	<td class="ntext" width="50%">$3-(((7-4)+6)-5)$</td>
-	</tr>
-	<tr align="left">
-	<td class="ntext">c)</td>
-	<td class="ntext" width="50%">$3\cdot(-7)-4\cdot(6-5)$</td>
-	<td class="ntext">d)</td>
-	<td class="ntext" width="50%">$3\cdot(-7)-(4+6)/(-5)$</td>
-	</tr>
-	<tr><td height="5px"/></tr>
-	</table>
-	</div>
-
-	==Övning 1.1:3==
-	<div class="ovning">
-	Vilka av följande tal tillhör de naturliga talen? heltalen?
-	rationella talen? irrationella talen? Förenkla först!
-	<table width="100%" cellspacing="10px">
-	<tr align="left">
-	<td class="ntext">a)</td>
-	<td class="ntext" width="33%">$8$</td>
-	<td class="ntext">b)</td>
-	<td class="ntext" width="33%">$-4$</td>
-	<td class="ntext">c)</td>
-	<td class="ntext" width="33%">$8-4$</td>
-	</tr>
-	<tr align="left">
-	<td class="ntext">d)</td>
-	<td class="ntext" width="33%">$4-8$</td>
-	<td class="ntext">e)</td>
-	<td class="ntext" width="33%">$8(-4)$</td>
-	<td class="ntext">f)</td>
-	<td class="ntext" width="33%">$(-8)(-4)$</td>
-	</tr>
-	<tr align="left">
-	<td class="ntext">g)</td>
-	<td class="ntext" width="33%">$\displaystyle \frac{4}{-8}$</td>
-	<td class="ntext">h)</td>
-	<td class="ntext" width="33%">$\displaystyle \frac{-8}{-4}$</td>
-	<td class="ntext">i)</td>
-	<td class="ntext" width="33%">$\displaystyle \frac{\sqrt{2}}{3}$</td>
-	</tr>
-	<tr align="left">
-	<td class="ntext">j)</td>
-	<td class="ntext" width="33%">$\displaystyle \Bigl(\frac{4}{\sqrt{2}}\Bigr)^2$</td>
-	<td class="ntext">k)</td>
-	<td class="ntext" width="33%">$-\pi$</td>
-	<td class="ntext">l)</td>
-	<td class="ntext" width="33%">$\pi+1$</td>
-	</tr>
-	<tr><td height="5px"/></tr>
-	</table>
-	</div>
-
-	==Övning 1.1:4==
-	<div class="ovning">
-	Ordna följande tal i storleksordning
-	<table width="100%" cellspacing="10px">
-	<tr align="left">
-	<td class="ntext">a)</td>
-	<td class="ntext" width="100%">$\displaystyle 2,\ \frac{3}{5},\ \frac{5}{3}\ $ och $\ \displaystyle \frac{7}{3}$</td>
-	</tr>
-	<tr>
-	<td class="ntext">b)</td>
-	<td class="ntext" width="100%">$\displaystyle -\frac{1}{2},\ -\frac{1}{5},\ -\frac{3}{10}\ $ och $\ \displaystyle -\frac{1}{3}$</td>
-	</tr>
-	<tr>
-	<td class="ntext">c)</td>
-	<td class="ntext" width="100%">$\displaystyle \frac{1}{2},\ \frac{2}{3},\ \frac{3}{5},\ \frac{5}{8}\ $ och $\ \displaystyle \frac{21}{34}$</td>
-	</tr>
-	<tr><td height="5px"/></tr>
-	</table>
-	</div>
-
-	==Övning 1.1:5==
-	<div class="ovning">
-	Ange decimalutvecklingen med tre korrekta decimaler till
-	<table width="100%" cellspacing="10px">
-	<tr align="left">
-	<td class="ntext">a)</td>
-	<td class="ntext" width="25%">$\displaystyle \frac{7}{6}$</td>
-	<td class="ntext">b)</td>
-	<td class="ntext" width="25%">$\displaystyle \frac{9}{4}$</td>
-	<td class="ntext">c)</td>
-	<td class="ntext" width="25%">$\displaystyle \frac{2}{7}$</td>
-	<td class="ntext">d)</td>
-	<td class="ntext" width="25%">$\sqrt{2}$</td>
-	</tr>
-	<tr><td height="5px"/></tr>
-	</table>
-	</div>
-
-	==Övning 1.1:6==
-	<div class="ovning">
-	Vilka av följande tal är rationella? Ange dem som en kvot mellan heltal.
-	<table width="100%" cellspacing="10px">
-	<tr align="left">
-	<td class="ntext">a)</td>
-	<td class="ntext" width="100%">$3,14$</td>
-	</tr>
-	<tr align="left">
-	<td class="ntext">b)</td>
-	<td class="ntext" width="100%">$3{,}1416\,1416\,1416\,\dots$</td>
-	</tr>
-	<tr align="left">
-	<td class="ntext">c)</td>
-	<td class="ntext" width="100%">$0{,}2\,001\,001\,001\,\dots\,$ (därefter är var tredje decimal en 1:a och övriga 0)</td>
-	</tr>
-	<tr align="left">
-	<td class="ntext">d)</td>
-	<td class="ntext" width="100%">$0{,}10\,100\,1000\,10000\,1\dots\, $ (en 1:a, en 0:a, en 1:a, två 0:or, en 1:a, tre 0:or osv.)</td>
-	</tr>
-	<tr><td height="5px"/></tr>
-	</table>
-	</div>

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