NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 3: Integers - Multiple Choice QuestionsQuestion 16
Class 6 - Mathematics - Unit 3: Integers - Multiple Choice Questions
Question. 16
The statement “When an integer is added to itself, the sum is greater than the integer” is
(A)
always true
(B)
never true
(C)
true only when the integer is positive
(D)
true for non-negative integers
Detailed Answer with Explanation:
Let the integer be \(n\).
When an integer is added to itself:
\[ n + n \]
This is the same as:
\[ 2n \]
Now compare \(2n\) with \(n\) in three simple cases.
Case 1: Positive integer
If \(n > 0\), then
\[ 2n > n \]
So the sum is greater than the integer.
Case 2: Zero
If \(n = 0\), then
\[ 2n = 0 = n \]
The sum is not greater; it is equal.
Case 3: Negative integer
If \(n < 0\), then
\[ 2n < n \]
The sum is smaller than the integer.
Conclusion: The statement is true only when the integer is positive.
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