Question

Without calculating, which of the following quotients can you determine will be positive?(1 point)


A. 1,001 ÷ (−143)

B. −725 ÷ (−29)

C. 657 ÷ (−23)

D. −111 ÷ 37

Answer 1

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)**