Question

Compare by using <, >, or =; -6(13) and 360/-5.

I know -6(13) is -78, and 360/-5 is -72, so -78 is greater than -72. But which sign do I use?

Thanks :)

Answer 1

If you draw a number line that has -78 and -72 on it, you'd have something like this



I'm skipping to add the other numbers to save time/space

Answer 2

to the very very right of -72 is the number 0. The rule is that you put larger numbers to the right of smaller numbers

example: 10 is to the right of 5 since 10 is greater than 5

The same applies to negative numbers as well. The number -78 is smaller than -72 because you are more in the hole so to speak. In terms of money, the more in debt you go, the smaller your net worth is.

So that is why -78 < -72