Math and Arithmetic

How do you subtract integers?


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2017-08-07 09:42:31
2017-08-07 09:42:31

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.


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:


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


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2020-04-22 22:47:59
2020-04-22 22:47:59



Related Questions

addition and subtract in integers

It is important to add and subtract integers: to get a new integer value in mathematics .

To subtract integers u use kcc aka keep change change on the sighn and then u subtract normaly.

you can add subtract multiply and divide them.

Because otherwise you would only know how to subtract and add with the same integers. Not a particularly useful skill unless just those integers turned up!

Subtract the smaller from the larger.

add, subtract, multiply, divide

No.If you subtract a positive number, you move to the left.If you subtract a negative number, you move to the right.

Integers do not have sides so the question does not make sense.

Subtract the number you first thought of.

When adding negative integers, you subtract. (2+-1=1) When subtracting negative integers, you add. (2--3=5)

When you add, subtract, or multiply integers, you get integers. When you divide one integer by another one, you may or may not get an integer.

to subtract an integer, add its opposite or additive inverse.

Subtract and the Keep the sign of the one that has more

Take the positive one and subtract the negative amount.

Subtracting an integer is the same as adding the additive inverse. In symbols: a - b = a + (-b), where "-b" is the additive inverse (the opposite) of b.

Adding two numbers with different signs means subtracting the two absolute integers (without sign) and vice versa.

You arrive at a resultant, the resultant depends on the operation carried out.

diffrence will always be positive except when it is zero but is you speak of substraction operation it can be positive negative or zero

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).

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