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

If someone gave you a five-dollar bill and asked for change in quarters, how many should you give them?

This is the same as asking “how many times does 0.25 go into 5?” or “what is 5 ÷ 0.25?”

The answer is 20, because 20 x 0.25 = 5.