NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 3: Integers - Multiple Choice Questions
Question 15

Question.  15

When a negative integer is subtracted from another negative integer, the sign of the result

(A)

is always negative

(B)

is always positive

(C)

is never negative

(D)

depends on the numerical value of the integers

Detailed Answer with Explanation:

  1. Take two negative integers: (a<0) and (b<0).
  2. Subtracting a negative turns into addition: (a - (b) = a + |b|).
  3. Here, (|b|>0). You are adding a positive number to a negative number.
  4. If (|b| > |a|), the result is positive.
    ((-2) - (-5) = -2 + 5 = 3).
  5. If (|b| = |a|), the result is zero.
    ((-4) - (-4) = -4 + 4 = 0).
  6. If (|b| < |a|), the result is negative.
    ((-5) - (-2) = -5 + 2 = -3).

So, the sign depends on the numerical values. Answer: D.

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