Processing Math: Done
To print higher-resolution math symbols, click the
Hi-Res Fonts for Printing button on the jsMath control panel.

jsMath

Solution 1.1:5a

From Förberedande kurs i matematik 1

(Difference between revisions)
Jump to: navigation, search
m (Lösning 1.1:5a moved to Solution 1.1:5a: Robot: moved page)
Current revision (09:14, 22 September 2008) (edit) (undo)
 
(One intermediate revision not shown.)
Line 1: Line 1:
-
{{NAVCONTENT_START}}
+
2, 3/5, 5/3 and 7/3 .
-
<center> [[Image:1_1_5a.gif]] </center>
+
 
-
{{NAVCONTENT_STOP}}
+
It is easier to see the mutual order of the numbers if we write them as decimals.
 +
 
 +
Because we know that
 +
<math>{1}/{5}\;=0.2</math>
 +
and
 +
<math>{1}/{3}\;=0.333...</math>, we obtain
 +
 
 +
 
 +
<math>\begin{align}
 +
& \frac{3}{5}=3\centerdot \frac{3}{5}=3.02=0.6 \\
 +
& \\
 +
& \frac{5}{3}=\frac{3+2}{3}=1+\frac{2}{3}=1.666... \\
 +
& \\
 +
& \frac{7}{3}=\frac{6+1}{3}=2+\frac{1}{3}=2.333... \\
 +
\end{align}</math>
 +
 
 +
and then we see that.
 +
 
 +
 
 +
<math>\begin{align}
 +
& \frac{3}{5}<\frac{5}{3}<2<\frac{7}{3} \\
 +
& \\
 +
\end{align}</math>

Current revision

2, 3/5, 5/3 and 7/3 .

It is easier to see the mutual order of the numbers if we write them as decimals.

Because we know that 15=02 and 13=0333, we obtain


53=353=302=0635=33+2=1+32=166637=36+1=2+31=2333

and then we see that.


5335237