Question

Without calculating, which of the following quotients can you determine will be positive?
A. -111 ➗ 37
B. 1,001 ➗ (-143)
C. -725 ➗ (-29)
D. 657 ➗ (-23)

Answer 1

To determine which quotients will be positive, we can use the rule that a quotient is positive if both numbers are either positive or negative.

Let's analyze the options:

A. -111 ➗ 37
- The numerator (-111) is negative, and the denominator (37) is positive. Therefore, the quotient is negative.

B. 1,001 ➗ (-143)
- The numerator (1,001) is positive, and the denominator (-143) is negative. Therefore, the quotient is negative.

C. -725 ➗ (-29)
- Both the numerator (-725) and the denominator (-29) are negative. Therefore, the quotient is positive.

D. 657 ➗ (-23)
- The numerator (657) is positive, and the denominator (-23) is negative. Therefore, the quotient is negative.

The only option that results in a positive quotient is:

**C. -725 ➗ (-29)**