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sertanlavr [38]
3 years ago
7

-1.3535353 is it a rational

Mathematics
1 answer:
butalik [34]3 years ago
5 0

Yes, it's rational.

If the digits after the decimal point terminate, then the number is

-1.3535353 = - 13,535,353/10,000,000

If they don't stop, then let <em>x</em> be the number,

<em>x</em> = -1.353535...

Multiply <em>x</em> by 100 to move the decimal point two positions to the right:

100<em>x</em> = -135.353535...

Subtract <em>x</em> from 100<em>x</em> to eliminate the fractional part, then solve for <em>x</em> :

100<em>x</em> - <em>x</em> = -135.353535... - (-1.353535...)

99<em>x</em> = -135 + 1

99<em>x</em> = -134

<em>x</em> = -134/99

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