Please explain adding and subtracting Integers

485 views

I am trying to start again with math, giving it a second shot after i completly gave up on math for about 10y. I looked up multiple cheet sheets and rules, but they all say different things. My problem especially +29 – +59. The rule thing i got from the internet says + – + = larger integer’s sign, but then another tutorial said well if you reverse + and -, then you can get the answer that way, but they are 2 different answers. And i’m confused too about what, like what’s the point of doing the operations if we can just change whatever symbols we want, but then we do but nothing matches as the result so i’m just confused.

I just don’t get it, none of the rules match and in my head none of it even makes any sense. So i feel like i need to memorize the rules, but there are no rules. Pls help, i started crying due to the fustration because now i remembered why i despised math so much.

Update: I started being able to complete operations, even of 5 in a row. Thank you all! Ended up dropping tje unecessary + and just – – = + idk, but i’m doing it.

In: 2

19 Answers

Anonymous 0 Comments

Imagine a tall building with infinite floors and infinite basements. You’ll be entering the building at the street level. For reference or as starting point, call it ‘0’ level or just ‘0’. All floors above ground level are designated as +1, +2, +3… or simply 1, 2, 3…. from ground up. Similarly, all basement floors which are below ground floor are designated as -1, -2, -3,… from ground down.

The sign + or – gives you a sense of direction from your starting point. If it is, say, +4 floors, it means you climb UP 4 floors from where you currently are. + is for climbing up. If it is, say, -2 floors, it means that you should climb DOWN 2 floors from where you currently are.

Please visualize first and then draw this building on a piece of paper. Start with simple examples.

– You’re on ground floor (0) and you climb up 7 floors. This is 0 +7 = 7. So you’ll end up on Floor #7.

– You’re on ground floor (0) and you climb down 3 floors. This is 0 – 3 = -3. So you’ll end up on Floor# -3 or 3rd basement.

– You’re on Floor #10 and you’re asked to climb down 4 floors. This is 10 – 4 = 6. You’ll end up on Floor #6.

– You’re on Floor #7. You’re asked to climb down 7 floors. This is 7 – 7 = 0. You’ll end on ground level or street level.

– Now if you’re on Floor #4 and are asked to climb down 6 floors. This is 4 – 6. Go back to your drawing and visualize this movement. You’ll land on Floor # -2 or 2nd basement. So, 4 – 6 = -2.

Do you see the pattern? When you’ve to subract large number from small number, do the reverse operation (6 – 4) and then change sign of the result (-2).

For all other iterations, visualize the building and floors again.

+, + = +

-, – = –

etc.

You are viewing 1 out of 19 answers, click here to view all answers.