To determine whether each quotient is positive or negative, we can use the rule that states:
- A positive number divided by a negative number will give a negative result.
- A negative number divided by a negative number will give a positive result.
- A positive number divided by a positive number will give a positive result.
- A negative number divided by a positive number will give a negative result.
Now, let's analyze the options:
A. \( 1,001 ÷ (-143) \)
- Here, a positive number (1,001) is divided by a negative number (-143), so the result will be negative.
B. \( -725 ÷ (-29) \)
- Here, a negative number (-725) is divided by a negative number (-29), so the result will be positive.
C. \( 657 ÷ (-23) \)
- Here, a positive number (657) is divided by a negative number (-23), so the result will be negative.
D. \( -111 ÷ 37 \)
- Here, a negative number (-111) is divided by a positive number (37), so the result will be negative.
From this analysis, the only quotient that can be determined to be positive is:
B. −725 ÷ (−29)