Question

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

-11137

-725 (-29)

1,001 (-143)

657(-23)

Answer 1

To determine whether the quotients will be positive or negative without calculating, we can analyze the signs of the numbers involved in each quotient.

1. **-11137**: Since this is a negative number, any quotient involving it will depend on what it is divided by. No other numbers are involved here, so we can't conclude anything.

2. **-725 divided by (-29)**: Here, both the numerator and denominator are negative. A negative number divided by another negative number results in a positive quotient. Therefore, this quotient will be 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. Therefore, this quotient will be negative.

4. **657 divided by (-23)**: Again, the numerator is positive, and the denominator is negative. This means the quotient will also be negative.

In conclusion, the only quotient that can be determined to be positive is:
**-725 divided by (-29)**.