Solution 1.1:7a
From Förberedande kurs i matematik 1
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If we multiply 3.14 by 100 the decimal point will move two places to the right, i.e. | If we multiply 3.14 by 100 the decimal point will move two places to the right, i.e. | ||
| - | ::<math>100\cdot 3{ | + | ::<math>100\cdot 3\textrm{.}14 = 314</math> |
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| - | and dividing both sides by 100 we see | + | and dividing both sides by 100 we see that |
| - | ::<math>3{ | + | ::<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. | 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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Current revision
If we multiply 3.14 by 100 the decimal point will move two places to the right, i.e.
- \displaystyle 100\cdot 3\textrm{.}14 = 314
and dividing both sides by 100 we see that
- \displaystyle 3\textrm{.}14 = \frac{314}{100}\,\mbox{.}
This shows that 3.14 can be written as the quotient of two integers which means it is a rational number.
