NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 3: Integers - Problems and SolutionsQuestion 65
Class 6 - Mathematics - Unit 3: Integers - Problems and Solutions
Question. 65
Write the integer which is its own additive inverse.
Answer:
\(0\)
Detailed Answer with Explanation:
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The additive inverse of a number is the number you add to it to get zero.
In symbols: ( a + (!-a) = 0 ).
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We are asked to find an integer ( x ) that is its own additive inverse.
That means: ( x = -x ).
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Add ( x ) to both sides:
( x + x = 0 )
( 2x = 0 )
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Divide both sides by ( 2 ):
( x = 0 )
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Check:
( 0 + 0 = 0 ) ✓
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Conclusion: The only integer that equals its own additive inverse is ( 0 ).