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is -11.0234 rational or irrational and why
 Mar 6, 2014
 #1
avatar+33616 
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zoe101:

is -11.0234 rational or irrational and why



It is rational because it can be expressed as the ratio of two whole numbers (that's what rational means in maths), namely -110234/10000

Irrational means cannot be expressed as the ratio of two whole numbers (like the square root of 2 for example)
 Mar 6, 2014
 #2
avatar+118608 
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zoe101:

is -11.0234 rational or irrational and why



Thanks Alan,

hi Zoe,
Any number that can be expressed as a terminating or recurring decimal can be expressed as a fraction.
And
all fractions are rational. (because as Alan said, they are the ratio of 2 whole numbers)
 Mar 6, 2014

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