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When a positive integer is divided by a negative integer what sign does the quotient have a negative if the sum of the dividend and the divisor is less than zero positive otherwise B I always positive see always negative D positive the sum of the dividend and the divisor is greater than zero negative otherwise

1 answer

When a positive integer (the dividend) is divided by a negative integer (the divisor), the quotient will always be negative.

To clarify using your options:

  • A: The statement regarding the sum of the dividend and divisor does not affect the sign of the quotient when dividing a positive by a negative. The quotient will still be negative regardless of their sum.
  • B: This would imply that the quotient is always positive, which is incorrect.
  • C: This indicates that the quotient is always negative, which is correct.
  • D: The sign of the quotient does not depend on the sum but is still negative.

Therefore, the correct answer is C: always negative.