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Is it correct or incorrect to say that 1/0 is infinity?
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<blockquote data-quote="Victor" data-source="post: 1586583" data-attributes="member: 214710"><p>The classical approach is to consider the meaning of division. For example, 20/4 can be interpreted as "how many time do we need to subtract 4 from 20 to reduce it to zero?" The answer is 5.</p><p></p><p>Apply this to your problem; "how many times do we need to subtract zero from 1 to reduce it to zero?"</p><p></p><p>The answer is "a very very large number of times that cannot be counted because the subtraction has no effect on the initial number."</p><p></p><p>For a negative number, the process is the same but requires addition instead of subtraction. So (-20)/5 needs -4 subtractions.</p><p></p><p>The concepts of plus-infinity and minus-infinity have no meaning, even if you wish to consider (-1)/0, except it is sometimes useful to consider the value of the initial number. The answer is still the same.</p></blockquote><p></p>
[QUOTE="Victor, post: 1586583, member: 214710"] The classical approach is to consider the meaning of division. For example, 20/4 can be interpreted as "how many time do we need to subtract 4 from 20 to reduce it to zero?" The answer is 5. Apply this to your problem; "how many times do we need to subtract zero from 1 to reduce it to zero?" The answer is "a very very large number of times that cannot be counted because the subtraction has no effect on the initial number." For a negative number, the process is the same but requires addition instead of subtraction. So (-20)/5 needs -4 subtractions. The concepts of plus-infinity and minus-infinity have no meaning, even if you wish to consider (-1)/0, except it is sometimes useful to consider the value of the initial number. The answer is still the same. [/QUOTE]
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