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# How do you subtract integers?

Updated: 4/27/2022

Wiki User

6y ago

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.

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)=

by:Izabela torbinski

Wiki User

6y ago

Wiki User

10y ago

1. change the subtract to an add and switch the sign of the second.

-same sign is adding and keep the sign

-different sign is subtract and take the sign of the bigger number

Anonymous

Lvl 1
3y ago

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