Is the difference of a negative integer and a negative integer is alwase negative?

Answer 1

No, not at all. It can be either negative or positive.

Try this. We're going to give you a way to think about these things that

always works, no matter whether you have positive numbers, negative

numbers, or one of each, and no matter which direction the problem goes:

First, think of all the numbers, lined up like this ... just like the floors in a

tall building:

+6

+5

+4

+3

+2

+1

0 . . . (ground)

-1

-2

-3

-4

-5

-6

-7

The ground is at zero (look at it).

The positive numbers are floors above ground, and the number tells you how high (look at it).

The negative numbers are floors under ground, and the number tells you how deep (look at it).

How to do Addition:

The first number tells you which floor to start on.

The second number tells you how many floors to move up or down.

Move up if the second number is positive. Move down if it's negative.

The floor that you finish on is the answer.

How to do Subtraction:

The first number tells you which floor to start on.

The second number tells you how many floors to move up or down.

But before you move ... Change the sign on the second number.

. . . . . If it's positive, make it negative. If it's negative, make it positive.

. . . . . Then add it to the first number, just like you do with addition.

Move up if the second number is positive now. Move down if it's negative now.

The floor that you finish on is the answer.

And that's it ! Now you can do every addition and subtraction problem, with

any combination of positive and negative numbers. You are powerful !