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explain how the sum of a fraction or a rational number and its additive inverse is equal to zero

Sagot :

           If we use a simple example, the additive inverse of 5 is -5. This is because -5 + 5 = 0.

           It is the same with fractions, if we take one half, [tex]-\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex] = 0

           A rational number is a number that can be written as an integer or a fraction without having a 0 in the denominator.

("In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. ")

           Basically, the sum of a fraction / rational number and its additive inverse is equal to 0 because you are adding together "opposites" with regards to negative / positive. They are the same number, just different sides of the number line.