 # I need help with a math problem Anonymous
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### Question Description

Explain why:

1) 4÷0 = Undefined or Infinite

2) 0÷4 = 0

alancheng
School: Carnegie Mellon University   1.) 4 divided by zero.  can be translated as a question.  What number multiplied by zero is equal to 4 ?

There is no number that is multiplied by zero that can have the product 4.

x * 0 = 4,  What can x equal?  Impossible equation.

Another way to understand division by zero when you start with a problem like 100 divided by 10.

We know 100 / 10 = 10  because we can split 100 into 10 pieces of 10 quantities.

We know 100/ 2 = 50 because we can split 100 into 2 parts each with 50 quantities.

We know 100 / (0.1) = 1000, because we can split 100 into 0.1 parts of which is 1000.

So when you divide 100 by zero, we end up with a part that is close to zero of a part , where that part is a large number.

Try  100 divided by 0.000001 (that is 100 divided by one-millionth)  which means one-millionth of some quantity has to equal 100.  Well  one-millionth of a part that is 100,000,000 in size is the answer.

Notice that as the denominator approaches zero, the quotient becomes a very large number, where the numerator is some positive number.

2.) for 0 divided by 4,  the question is how many parts can zero be divided into with length 4.  There is no length.  so it must be zero.    0 + 0 + 0 + 0 = 0,  4 zeros added to each other give zero.

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