Which of the following statements is not true? ;
(a) When two positive integers are added, we always get a positive integer.
(b) When two negative integers are added, we always get a negative integer.
(c) When a positive integer and a negative integer are added, we always get a negative integer.
(d) Additive inverse of an integer 2 is (-2) and additive inverse of (-2) is 2.
Answers
Answer:
To Find:-
Statements which aren't true.
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Thinking Process:-
Try to give a suitable example for your opinion.
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(a) When 2 positive integers are added, we always get a positive integer.
This statement is true.
Example:-
Let us add two desired positive integers say (25) and (26). The answer would be 51 which is true.
(b) When two negative integers are added, we always get a negative integer.
This statement is also true.
Example:-
Let one of the negative integer be (- 1) and another be (- 200), the solution would be (- 201).
(c) When a positive integer and a negative integer is added, we always get a negative integer.
This statement is not true or false.
Example:-
Let the positive integer be (2x) and the negative integer be (- x).
So,
2x + (- x)
= 2x - x (°•° '+' + '-' = '-')
= x - Positive Integer.
(d) Additive inverse of an integer 2 is (- 2) and addictive inverse of (- 2) is 2.
This statement is totally correct.
Example:-
Addictive inverse always means,
x + (-x) = 0
& (-x) + x = 0
The number which, if added, fetches 0 as an output is called the Addictive inverse of a number.
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Required Answer:-
•°• (c) is the incorrect statement provided above.
Answer:
b and d are not true
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