Zero: The Divisor

Number Theory Level 1

We know that 1 × 0 = 0 1 \times 0 = 0 .
Does 0 divide 1?

Inspiration .

No, 0 does not divide 1 Yes, 0 divides 1

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Calvin Lin by Calvin Lin

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4 solutions

Eduard Stoleru
Jan 16, 2016

There is no integer which multiplied by 0 can give 1. Therefore, 0 does not divide 1.

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Cynthia Chan
Jan 15, 2016

1 divides 0, as in 0/1=0, but 0 cannot divide 1, because it would be like saying 1/0, which is undefined.

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Munem Shahriar
Dec 9, 2017

1 0 \dfrac 10 is undefined.

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Atul Shivam
Jan 15, 2016

1 0 \frac{1}{0} is indeterminate form thus correct answer is No, 0 does not divide 1 \boxed{\text{ No, 0 does not divide 1}}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Right, because if you try to divide it out, it just can't be determined. There is no exact answer.

Felix Lu - 5 years, 4 months ago

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