Question

Without calculating, which of the following quotients can you determine will be positive
-111 divided 37
-725 divided (-29)
1,001 divided by (-143)
657 divided (-23)

Answer 1

To determine whether each quotient will be positive or negative, we can analyze the signs of the numbers involved in each division:

1. **-111 divided by 37**: The numerator is negative, and the denominator is positive. A negative number divided by a positive number yields a negative quotient. **(Negative)**

2. **-725 divided by (-29)**: Both the numerator and the denominator are negative. A negative number divided by another negative number gives a positive quotient. **(Positive)**

3. **1,001 divided by (-143)**: The numerator is positive, and the denominator is negative. A positive number divided by a negative number results in a negative quotient. **(Negative)**

4. **657 divided by (-23)**: The numerator is positive, and the denominator is negative. Again, a positive number divided by a negative number results in a negative quotient. **(Negative)**

Thus, the only quotient that you can determine will be positive is:

-725 divided by (-29).