NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 3: Integers - True or False Questions

Question 23

The statement says: “The sum of any two negative integers is always greater than both the integers.”

This is false.

1. Let two numbers be \(a\) and \(b\) with \(a < 0\) and \(b < 0\).
2. When you add a negative number, you move left on the number line.
3. Adding two negatives makes the result more negative:
   \(a + b < a\)
   \(a + b < b\)
4. Example:
   \((-3) + (-5)\)
   \= -(3 + 5)\
   \= -8\
5. Compare:
   \(-8 < -3\)
   \(-8 < -5\)

So, the sum of two negative integers is always smaller than each of them, not greater.