Math and Arithmetic
Algebra
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# How are addition and subtraction of integers related?

222324 ###### 2008-12-05 23:23:52

Addition and subtraction are inverse functions.

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## Related Questions Addition and subtraction are reverse operations.  Subtraction of integers is essentially addition of integers except the second integer is inverted. For example: 5 + 3 = 8 is a simple addition of integers. 5 - 3 = 5 is a simple subtraction of integers. It can be expressed by inverting the second value (the one right after the subration sign) and then switching the subtraction sign to an addition sign. So it would look like: 5 + (-3) = 5. Note that (-3) is the opposite of 3. So to do a more confusing subtraction problem like: 55 - (-5), we could rewrite this as: 55 + -(-5). From here it's easy to see that the two negatives cancel out. 55 + 5 = 60.  They are different in the same way that subtraction of integers is different from their addition. They are whole numbers used in division, multiplication, addition and subtraction.  The rules for addition are as follows:The sum of two negative integers is a negative integerThe sum of two positive integers is a positive integerThe rules for subtraction are as follows:If they are two positive numbers, do it normallyIf there is a negative and a positive ,change it to addition and switch the SECOND integer sign A set of related addition-subtraction or multiplication-division sentences is a fact family.   Multiplication is the same as repeated addition. For example 12 * 3 = 12 + 12 + 12 12 * 4 = 12 + 12 + 12 + 12 and so on.   When you can do addition and subtraction without recourse to it. Then it simply becomes a distraction.   You can have counting number in multiplication and addition. All integers are in multiplication, addition and subtraction. All rational numbers are in all four. Real numbers, complex numbers and other larger sets are consistent with the four operations.  Addition is the inverse operation to subtraction. Integers are closed under subtraction, meaning that any subtraction problem with integers has a solution in the set of integers.  if they are two positive numbers, do it normally.If there is a negative and a positive, change it to addition and switch the SECOND integer sign. Only works with two integers in a subtraction question.Example: (-32)-(+2)= (-34) / (-32)+(-2)=(-34)  Subtraction can be seen as the inverse operation to addition.

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