MathematicsState whether the given statement is true or false?From the above given number line, we can conclude that the sum of any number x and its additive inverse –x is always zero i.e. identity element.

State whether the given statement is true or false?


Operations-Of-Integers-On-Number-Line-1.jpg

From the above given number line, we can conclude that the sum of any number x and its additive inverse –x is always zero i.e. identity element.


  1. A
    True
  2. B
    Flase 

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    Solution:

    The given statement is true.
    Concept- Inverse law of addition states that, given a real number “a”, if we add “-a” to it is always zero i.e. From the above number line, the values of “a” are {1, 2, 3, 4, 5, 6} and “-a” are {-1, -2, -3, -4, -5, -6}. Thus, according to inverse law we have:
    Thus, in general addition of a real number x with its additive inverse -x is always zero. Hence the statement is always true for any real numbers.
    Hence, the given statement is true.
     
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