Why does dividing by a decimal make the number bigger?

Question

And why do negative numbers exist?

EDIT: thank you all so much for answering. I actually understand now. I wish they explained it this simply in school 😭

In: 4

Answer 1

Division is simply multiplication of the reciprocal i.e. divided by 3 is just times 1/3. So a decimal like .44 is 44/100. So if you divide you are multiplying by 100/44 or 25/11.

Negative numbers exist because it is important to have a concept of negatives when calculating things like debts. If you owe money your income from that source is negative.