Adding/subtracting negative numbers

Adding and subtracting negative numbers

Adding/subtracting negative numbers

Discussion and questions for this video
does the minus is the plus and the plus is the minus i am confused. please help
Think of subtraction on a number line. A subtraction sign means to travel left. But a negative sign AFTER a minus sign tells you to reverse directions. In other words, go to the right, and going to the right on a number line is what we do when we add. So a minus sign and negative sign together have the same effect on the problem as a single + sign. It also works when you add a negative number. The + sign means travel to the right on the number line, but if it is followed by a negative sign, it again means to reverse directions, and in this case you would travel to the left on the number line, just like when doing subtraction. So a + sign and - sign is the same as having a single - sign.
I need to know how to subtract negative fractions with a positive whole number.
If you are subtracting a negative number from a whole number, the the negative and the minus signs cancel each other out. For example: 12-(-11)=1 It's like you're subtracting 2 whole numbers
We have negative numbers because there is no smallest number. Think about it in money. You have $10. Then, you buy ten $1 candy bars, so you have no money ($0). Then, you need to buy lunch, so you borrow $5 from me. You now owe me money, or, in other words, you have negative money (-$5). You could keep borrowing money from me, and you would owe me more and more money (-$10, -$15, etc.).
So, 12-5 and 5 -12 will be equal in absolute value . I did not get the logic of this.
look at this as the distance on the x-axis from some number to 0; for example, you have 12-5=7, and 5 - 12 = -7, but in both cases youo have 7 units away from 0, doesn't matter, neg or pos, do you get now?
How do you subtract negative numbers
does anyone have suggestions or tips?
Taking away a negative number works out the same thing as adding a positive number. In effect, the two minus-signs together turn into a plus. So for example, 12 - (-9) is the same as 12 + 9, which is 21.
When your adding negative numbers will the answer always be negative ?
when you are trying to subtract a negative number from a positive number its kind of like a rule to change the negatives into positeves my math teacher told me to thing of it like this 2- -3 is incomplete so you just make those two negative and replace them with one positive sign 2+3. does that help?
When you multiply negative 2 negative numbers together, you do it as you would normally but the answer is going to be positive. Same with dividing, but if you have one positive and one negative, then the answer will be negative. I you have 2 positives, then it is exactly how you would multiply normally.
what happens if you have a -7 + 8 would the 8 turn in to a negative or would the -7 turn positive?
well, how do you think? if we think about these 2 numbers in terms of units, you will have 7 negative (-7) units and 8 positive (8) units; the positive units out-number the negative ones, so at the end you will be left with one (1) positive unit: -7 + 8 = 1
First divide the first two digits of that big number. Dividing 80 by 9 gives you quotient 8 and remainder 8. You write that remainder 8 in front of the next digit, which gives you 87. Dividing 87 by 9 gives you quotient 9 and remainder 6. Same step again, so you get 63. Dividing it by 9 gives you 7. So that's your answer : 897
My math teacher showed me a way when there are 2 -s are together they can be turned into +
example: 5 - (-6) =5 + (+6)
does the minus is the plus and the plus is the minus i am confused. please help
if you subtract a negative, those two can cancel out to both be a positive.
We are learning how to add and subtract intergers. The question I have it the way the teacher has the students doing it is use the alphabet and find your numbers than the problem is like this:

Duncan = 2, 11, -7, 2, 1, -7

I am not sure how they want the work shown. Would it be
2 + 11=9- (-7)=2 +2=4 + 1=5 - (-7) = -2 so the answer would be -2?
The problems you face in the Pre-Algebra course are ones that get you ready for Algebra. It is the foundation that you will build on, and if you can master the techniques in the Pre- class then you will be better placed when you start learning Algebra.
Now I understand how to add and subtract and it has helped me in school. But, how do you subtract when you have three numbers? ex: 18-(-17)-(-11)
18-(-17)-(-11) = 18+17+11 = (18+17)+11 = 35+11 = 46
if you have 18-17-11 then the answer will be like this:
18-17-11 = (18-17)-11 = 1-11 = -10
Yes, of course you can. You could do it in two ways. The first way to do it is too first solve the problem mathematically and then plot it on the number line. -(-3) =3 , so the question will simply be 3 + 3 +97 which is equal to 103 and now you could just plot it. The other way is dong the entire process on the number line, so you just start at 97 and add 3 twice.
well i can tell you what is a fraction...

plural noun: fractions
a numerical quantity that is not a whole number (e.g., 1/2, 0.5).
a small or tiny part, amount, or proportion of something.
"he hesitated for a fraction of a second"
synonyms: tiny part, fragment, snippet, snatch, smattering, selection More
a dissenting group within a larger one.
each of the portions into which a mixture may be separated by a process in which the individual components behave differently according to their physical properties.
(in the Christian Church) the breaking of the Eucharistic bread.
I don't understand why a when a negative subtracting a negative makes the a sum positive. For instance why isn't 10-(-15) = -5 ??
Hi Danny,
The answer lies in how we think about the way we move on the number line but also in how we handle the operators in the equation:
-(-15) is the same as -1(-15) or spoken, "negative 1 times negative 15". A negative times a negative is a positive, so that it becomes + 15. On the number line subtraction means we move left and addition means we move right. So, we start at 10 and because -(-15) means + 15, we move 15 places right which makes the answer 25.

Hope that helps!
At about 7:50, when he started explaining how two negatives cancel each other out in -3--3, I kind of understood. But why don't you make the pluses in +3++3 minuses?
Look at it this way...negative numbers are a different breed of numbers written as -x where x is a real number such that x + -x = 0. Something like matter and anti-matter, when we combine equal quantities of them we get NOTHING i.e. Zero.
The symbol "-" also means take away or subtract-agree?
Now look at the problem -3 - -3. Read it in English or whatever is your language. It says take away -3 from -3. Is the answer more obvious? Zero.
Similarly -3 + -3 = English, Add -3 to -3 (the - in front of the 3's only denotes a different 'type' of number)
You can also view -3 - -3 in a different way...subtracting is same as adding the opposite. Look below:
3 - 3 = 0 easy...
Now 3 + -3 = 0...we know that from definition of negative number
So 3 - 3 = 3 + -3 = 0
So, -3 - -3 = -3 + 3 = 0
Now I understand how to add and subtract and it has helped me in school. But, how do you subtract when you have three numbers?
Subtracting three numbers is very similar to subtracting two or even one number(s).

For example, if you have 6-(-9)-14, then the first thing you do would be 6-(-9). This would equal 15 because it is the same as doing 6+9. Next you subtract 15 by 14. This equals 1.
I really don't get why a negative number, minus a negative number equals a positive number at around 6:00
Hi Lawrence, I also had that doubt for a while and I came up with this idea: think about the minus sign as a switching light button, it changes every number after it, let me give you an example, let's say we have 3 - (2) is like the "bulb n.2" is on (positive) inside the parenthesis and then you put a minus sign before it is like pressing the button once and so you get 3 - 2 the "bulb n.2" is now off; now follow me, let's say that button now command a series of bulbs, not just one, like this 3 - (2 - 5 + 1 - 9) what happens if you would press that button? I guess you already now, all bulbs that were on are going to switch off and all bulbs that were off are now going to be on, so we will have 3 - 2 + 5 - 1 + 9 I hope that helps!
You are a life saver Sal! I'm going to be a freshman this upcoming school year and I have summer homework for algebra (because I sadly didn't take it in middle school)and during the summer I forget EVERYTHING my teacher teaches me and I got confused on the first page, but watching your video has made me remember all of it and now I know this will be a breeze~ So thank you for being so awsome at explaining!
Sal Khan made this video and many other videos on Khan academy, except some on programming which are made by a woman. Does anyone know who she is? Anyways, Sal was on 60 minutes talking about his website (Khan Academy).
When multiplying negative numbers, which direction do you move? Further negative, or positive?
negative times negative=positive
example -3 x -4 = 12
negative times positive=negative and positive times negative=negative since multiplication is commutative :)
example -3 x 4 = -12 and 3 x -4 = -12

When multiplying, if the signs match the answer is positive; when they don't match the answer is negative.
Well... this really help me out! I promise myself I would get proficient in my next math test ;)
Because you have to add its opposite, 1-3 would turn out to be 1+(-3). Then you have to look at the greatest absolute value (-3) and subtract: (-3)-1, which would equal -2.
i have watched this video so many times and it is not helping. In class i understand but not here
Adding a negative is the same as subtracting its opposite. Subtracting a negative is the same as adding its opposite.

How do you add negative numbers if they look like this: -12 + (-3)??
If the 56 - 92 = what is equal to?
Example : 92 - 52= 40 if the 52 - 92 = what is the different? The answer is - 40.

This comment is by M3SONIC
What you would do is add a negative sign to 92 so it would be 56 - (-96) and then as you may know you subtract 56 from -96 and so you would get -40. So yes your answer is correct.
5:28. i still don't get when you are supposed to make the negative sign an addition sign, and when your not. HELP!
negative and negative = positive
positive and positive = positive
negative and positive = negative
positive and negative = negative
Let us take the numbers 9+-6 you subtract 6 from 9 and add the sign of the bigger number that is (+) then the answer will be 3.
Then you should subtract the smaller one from the bigger one and add the sign of the bigger one. When you do as I said the Answer will be -196.
I think that this method is easier for me . Because the number line is not confuseing.
What if you add negative +negative=positive or negative still. Can you give me a .tip
With addition, if BOTH numbers are negative, just add them and keep the sign. So, -2 + -2 = -4

If one number is negative and the other positive, then you subtract them and keep the sign of the larger magnitude number.
So, - 4 + 2 = -2 but 4 + -2 = 2
so ++ equals plus and -- equals plus and -+ equals minus and +- equals minus
Totallly get it
How does the cancelling out of the minus sign work?
I still have trouble and adding and subrtracting them. Subtracting being the most difficult.
Think of it this way, do the problem, like -4-(-4)=?
So lets put this into a word picture: bob owes someone $4 (or he has $-4). Then someone takes away his dept of $4 (or -4-(-4)). So he now has 0 dollars, and that is more than he had before.
Hope this helps!!
At 3:30 , what would happen if your subtracting from a negative from a negative number ?
What if the question is -7+-7 would that mean it would be a subtraction problem or an addition problem
Technically all subtraction can be seen as a kind of addition since X minus Y is the same thing as X plus negative Y.
Think of it as removing a subtraction. To remove a subtraction, you have to add. For example, if I start with 5 and subtract 3 from it, I end up with 2.

5 - 3 = 2

Now, if I want to get back to 5, I have to remove the subtraction I did earlier.

2 - -3 = 5

The double negative sign in this example could then be interpreted as "Start at 2, and remove a subtraction of 3".

2 "Start at 2,"
- "and remove"
-3 "a subtraction of 3"

Once again, to remove a subtraction, you have to add. So "remove a subtraction" becomes "add"

2 "Start at 2,"
+ "and add"
3 "3"

2 + 3 = 5
so,if I was to make an number line i should place an the number line
I haven't specifically looked for a video about this yet, but how do you add, subtract, multiply, or divide positives and negatives with variables?
explain why a minus sign & a neg. number, becomes a plus sign & a positive number ? i tried to use the number line to illustrate this but wasn't able to see the logic
I don't understand, what if you are subtracting two negative numbers
it would actually be 6, if you have -3-(-9), a cool trick is that you make the -(- into a + so it becomes -3+9, thus making it 6.
a positive plus a negative will alaways equal a positive depending on the situation
When is the difference between a negative number and a positive number not positive?
How did Brahmagupta arrive at the following conclusion:

"A debt subtracted from zero is a fortune"

I am not doubting that the above statement is true, but I don't understand it. If I had a net worth of -$500, and this $500 debt was subtracted I would now have a net worth of $0. I don't see how I would have a net worth of (positive) $500. Can anybody please explain this to me?
Think of it this way:
A debt is a negative value, so if I owed you $500, then, in this sense, I would have -$500.
Ok, next step:
Zero minus negative 500
which can also be written as:
Since subtracting a negative is equivalent to adding a positive, we can change the expression to:
Which is equal to $500.