Without calculating, which of the following quotients can you determine will be positive?

Question

A. 1001÷(-143)
B. 657÷(-23)
C. -111÷37
D. -725÷(-29)

Answer 1

The quotient will be positive if the numerator and denominator have the same sign.

A. 1001 and -143 have opposite signs, so the quotient will be negative.
B. 657 and -23 have opposite signs, so the quotient will be negative.
C. -111 and 37 have opposite signs, so the quotient will be negative.
D. -725 and -29 have the same sign, so the quotient will be positive.

Therefore, the answer is D. -725÷(-29)