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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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Q: Why is it that when subtracting an integer gives the same result as adding the opposite?
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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 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.


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.


What is the result of subtracting 2 from its opposite?

-4


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

Yes because you are always adding.


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 happens when you subtract a negative from a posotive?

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


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

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


Why is the sum of a fraction and a whole number not a whole number?

Look at it the other way - by reverting the operation. The reason it is not a whole number is because if it where, then the subtraction of two integers would be a fraction! If a + b = c (a is a non-integer fraction, b and c are integers), then c - b = a. You would have a fraction as a result of subtracting two integers. However, adding or subtracting two integers always gives you an integer.


How is Addition And Subtraction Are Related To Each Other?

They are both binary operations. The inverse of adding X to a number is the subtraction of X from the result and, conversely, subtracting Y from a number is the inverse of adding Y to the result.


If you add integers that are negative then your answer will be positive?

No. Adding negative integers will result in an integer that is more negative.