Solution 1.1:7a

From Förberedande kurs i matematik 1

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Current revision (07:01, 19 September 2008) (edit) (undo)
m (decimal comma --> decimal point)
 
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If we multiply 3.14 by 100 the decimal point will move two places to the right, i.e.
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::<math>100\cdot 3\textrm{.}14 = 314</math>
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and dividing both sides by 100 we see that
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::<math>3\textrm{.}14 = \frac{314}{100}\,\mbox{.}</math>
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This shows that 3.14 can be written as the quotient of two integers which means it is a rational number.
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