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.
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.
A rational number is always the result of dividing an integer when the divisor is nonzero.
When subtracting one fraction to another, one or both fractions are renamed so that they have the same denominators. Then the result of the subtraction is the equal to the subtraction of the numerators divided by the common denominator.
Just multiply 209 by any integer. The result is - by definition - a multiple of 209.
Divide 7 into 291. If the result is an integer, 7 is a factor.
adding its 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.
Difference. A sum is the result of adding two numbers, and a difference is the result of subtracting two numbers.
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.
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Yes because you are always adding.
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.
Subtracting a negative is like adding a positive; the result will be positive.
It doesn't always. 3 - (-3) = 6
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.
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.
No. Adding negative integers will result in an integer that is more negative.