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Because of the definition of addition and subtraction. When looking at a real number line: when you add you move to the left or up, when you add the opposite of a number you move in the opposite direction.

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โˆ™ 2012-10-19 19:05:18
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Q: Why is it that when subtracting an integer gives the same result as adding the opposite?
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Related questions

Why does subtracting a number give the same result as adding its opposite?

adding its opposite?


What is the result of adding an integer and its opposite?

Zero


What is the result of adding an integer and it's opposite?

The result of adding and integer and its opposite is negation. A + (-A) = 0 For all real integers. It has the effect of adding 0 to a sum. Example: 32 + 16 + (-16) + 5 = 37 = 32 + 0 + 5.


What is the opposite of sum in math?

Difference. A sum is the result of adding two numbers, and a difference is the result of subtracting two numbers.


What is the result of subtracting 2 from its opposite?

-4


Explain how to subtract a positive integer and a negative integer using absolute value?

Subtracting an integer is the same as adding its opposite.Examples:In the following examples, we convert the subtracted integer to its opposite, and add the two integers.7 - 4 = 7 + (-4) = 312 - (-5) = 12 + (5) = 17-8 - 7 = -8 + (-7) = -15-22 - (-40) = -22 + (40) = 18Note that the result of subtracting two integers could be positive or negative.


When you subtract a positive integer from a negative integer the result is always positive?

Yes because you are always adding.


What happens when you subtract a negative from a posotive?

Subtracting a negative is like adding a positive; the result will be positive.


What are the similarities between integers?

All integers belong to the set {..., -2, -1, 0, 1, 2, ...}. The absolute value of any integer results in a whole number {0, 1, 2, ...}. Adding and subtracting integers always results in an integer. Multiplying integers always results in an integer. Dividing integers can sometimes not result in an integer.


Why does subtracting a postive and negative inter always result in a negative integer?

It doesn't always. 3 - (-3) = 6


Why does the addition of a negative integer and its positive counterpart has a result of 0?

Adding a negative integer is like subtracting a positive one. If you accept that 7 - 7 = 0 (because anything minus itself equals zero) then it stands to reason that 7 + -7 would equal zero as well.


What is -6 minus -14?

8

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