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 Depdendent Variable

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 Dependent Variable

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# Adding with Negative Numbers

## Question: What is the value of - 8 + 6 ?

 Misconception There are several possible misconceptions including -8 + 6 = 2 and -8 + 6 = -14 Correct The correct answer is -2 as this sum results from adding positive 6 to negative 8, as can be seen from the number line below. Starting at negative 8 and adding 6 you get the answer negative 2. Hence -8 + 6 = -2

## Further Explanation

With mathematics, everything is logical; there is no "guessing" and no "maybe", only logical reasoning.

We associate the minus sign with opposite (as in give and take ).

For example,

- 8 means taking away 8, while ( + 6 ) means giving 6

So - 8 + 6 translates to

taking away 8 and giving back 6

which is equivalent to taking away only 2

But taking away 2 is what is meant by - 2 . That is why -8 + 6 = -2 .

You can argue in a similar way, or do the calculation on a number line, to show that, for example,

6 - 8 = - 2 and - 6 - 8 = -14

Note that the order of giving/taking does not matter.

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