## Tutor Answer

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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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