# How do you subtract integers?

There are a few key methods to add and subtract integers. The first is easy to use but takes more time and thought (less automatic with practice). It is the number line method. Imagine (or draw!) a number line with 0 at the middle and negative numbers extending to the left. Now when you add a number, go to the left if it is negative and the right if it is positive to arrive at the answer. When subtracting do the opposite (as the subtraction sign negates the value of the number). For example, 3 - (-4) can be thought of as follows. Begin at positive 3. Now move 4 to the right (minus a negative is to the right). We end up at positive 7, the answer.

Another method is to change all subtraction problems to addition problems and learn to add any combination of integers (two positive, two negatives, one of each, and with 0). Generally:

a - b = a + (-b).

For examples:

3 - (-4) = 3 + -(-4) = 3 + 4 = 7.

-2 - 3 = -2 + (-3) = -5.

2 - 1 = 2 + (-1) = 1.

Note that the sum of two positive numbers is the sum of their absolute values. The sum of two negative numbers is the inverse of the sum of their absolute values. In other words, two positives become more positive and two negatives become more negative. Further, adding 0 does nothing to the number (additive identity).

Finally, when confronted with both a positive and negative number, whichever has the larger absolute value will be the sign of the result. Then take the difference in absolute values and apply that sign to the result.

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My improvement is here:

The above is right, and it's for subracting signed (positive +, and negative - )integers. Some people might not know much about signed integers, so I try to give some improvement on just basic/plain integers.

Basically in order to subtract, you need to know how to add to see if you have done it right.

Now consider I have a basket of many apples. I could take some,
say 5 out of the basket, hence I have subtracted 5 apples from the
basket. I may or may not even know how many apples are left. In
order to know how many are left I would need to initially know how
many were in the basket to start with. If there were 8 apples in
the basket to start with and I took a group of 5 out, then I have a
group of 3 apples left in the basket because 8 - 5 = 3 since the
basket originally contained the two groups of: 5 apples and 3
apples combined together, mathematically this is noted with
addition: 5 + 3 = 8. We see that if you subtract one group (either
the group of 5 or the group of 3) from 8, you will have the other
group left.

How do you subtract intergers?

subtracting integers with tiles

to add integers, we combine group of tiles

to subtract integers, we do the reverse:

we TAKE AWAY TILES FROM A GROUP

recall the equal numbers of red and yellow tiles model 0

for example:,(-5)+(+5)=0

adding 0 to the pair doesnt change its value.

for example:,(-3)+0=-3

to use tiles to subtract integers, we model the first integer, then take away the

number of tiles indicated by the second integer.

we can use tiles to subtract (+5)-(+9)=

answer: -4

by:Izabela torbinski

### What do integers allow you to do that whole numbers do not?

The term "whole numbers" is ambiguous; it may refer either to integers, or only to positive integers (perhaps including zero). The set of integers is closed under subtraction, that means, you can subtract any number from any other number. This is not possible in the set of counting numbers (non-negative integers).

### What is the operation on integers?

additions like sign -just add and copy the sign of the integers unlike sign subtract the integers then copy the sign of the bigger integers. subtraction change the sign of the subtrahend and proceed as in adding integers. multiplication and Division with like signs the product or quotient is positive unlike sign the product or quotient is negative by:jen Marie :)

### Step by step on how to subtract integers?

An integer is simply any number that is whole, such as 1 or -5 or -8. An integer NEVER has a fractional value, or a decimal value. So, in order to subtract integers, simply use the normal process for subtraction. For example, 5 minus 3 equals 2. Simply take the subtrahend (3) from the minuend (5) and receive the difference (2).

### Why two negatives is a positive?

I feel that two negatives are positive because you add* your two negative integers* together, you would be doing this: -+- (negative + negative) so the response is, is that if two integers where both negative, you would add, just like if there were two positives, you would add, but not if you have different signs. (positive+negative) you would subtract. Just as the same with negative + positive. [REVIEW: if the sign is the same…