1. Let's take a look at the division 5÷0. This division tells us that there is a number that, when multiplied by 0, gives us 5. But we know that any number times 0 is always equal to zero.
Is this paradox that causes division by 0 not to be defined.
2. For both multiplication and division, if two numbers have the same sign, their product or quotient will be postive ( + ).
If they have different signs, their product or quotient will be negative ( - ).
3. 0 divided by any number will always be 0. Imagine you have 0 cakes to give to 6 guests at your birthday party. Each guest will get 0 slices, because there is no cake.
As we've discussed before, division by zero is not defined. Therefore, when 0 is a denominator the quotient is undefined.
4. Since the quotient is negative, we can conclude that the signs of both numbers are different. It doesn't matter where you put the minus, because both signs will remain different, hence making the quotient negative.