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Lesson 4: Adding & subtracting integers

# Adding numbers with different signs

Use a number line to add 15 + (-46) + 29. Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

• is a + times a + a negative
• (Positive) x (Positive) = (Positive)
(Negative) x (Negative) = (Positive)
(Negative) x (Positive) = (Negative)
I hope that's clear.
• (Positive) x (Positive) = (Positive)
(Negative) x (Negative) = (Positive)
(Negative) x (Positive) = (Negative)
if u like my suggestion pls upvote
• Hi,
I am Abia and I want to ask a question of my rs aggarwal book of class 6 Ex-4B question no. 4 iii
I did it like this: 312-103=209
but now also I have little bit confusion.
Bye.
• The method you used was the correct one.
The negative/positive sign of a number will move with that number and while adding/subtracting integers you can shift the numbers to a more "comfortable" place (commutative property).
For e.g. :
-3+2 = +2-3
• For the 15-46, can you do 46-15 and make it negative?
• That's exactly what you do
If a > b then a - b = a - b
If a < b then a - b = -(b - a)
• Maybe it might help if you drew out a number line for basic examples! If you are using a number line to help you, when you see a negative sign for a number, that means you are going back the same number of hops that the number is on the number line. You do the reverse for a positive number. I'm also going to go through another example. If you had the problem -91+93, here is how you would solve it. On a number line, 91 is 91 hops to the left of 0. 93 hops is 93 hops to the right of zero. When adding negative and positive numbers, you always want to stay close to the number 0. The difference between the numbers 91 and 93 is two. When you add +93 to -91, you can easily get to 0 by changing the 93 to a 91. -91+91 is 0. To get back to 93 from 91, you have 2 left over. You are allready at 0 from your fake number line. 0+2=2, so -91+93=2.
Hope this helps 245138!
• I don't get negative and positive I need more clarification.
• a positive number is above zero, a negative number is below zero. i'll give an example if you'd like.
you have 20 dollars, but you spend 30. ( yes, that's possible in some banks. ) you'd have -10 dollars, and you'd be in debt

i know I'm late, but i hope this helped.
• So you subtract when it says to add a negative
• Yes, because if you have, lets say, 6+(-5) then you would subtract the 5 from the 6. the + would kind of turn into a subtraction sign, and the negative sign would go away. (At least that's how I think about it). I hope this helped!
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• a negative + a positive = what ?
• It depends on the numbers given. For instance, if you had -2+4, it would equal positive 2. But if you had -4+2, the answer would be -2.

So in addition problems: If the negative number has a greater absolute value than the positive number, your answer will result as a negative.

Hope this helps!