NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 7: Algebra - True or False Questions
Question 45

Question. 45

If x is a negative integer, –x is a positive integer.

Answer:

true

Detailed Answer with Explanation:

  1. A negative integer means a whole number less than zero.
    Examples: ( -1 ), ( -3 ), ( -5 )

  2. The symbol “(-x)” means “the opposite (or negative) of (x)”.
    It flips the sign of the number.

  3. If (x) is negative, then writing (-x) changes the sign from negative to positive.

  4. See with small examples:

    Let (x = -5).
    Then (-x = -(-5)).
    (-(-5) = 5), and (5) is positive.

    Let (x = -1).
    Then (-x = -(-1)).
    (-(-1) = 1), and (1) is positive.

    Let (x = -12).
    Then (-x = -(-12)).
    (-(-12) = 12), and (12) is positive.

  5. In general: if (x < 0), then (-x > 0). So the opposite of a negative integer is a positive integer.

Open NCERT PDF