Question

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

−725 ÷ (−29)
negative 725 divided by Left Parenthesis negative 29 Right Parenthesis

1,001 ÷ (−143)
1,001divided by Left Parenthesis negative 143 Right Parenthesis

−111 ÷ 37
negative 111 divided by 37

657 ÷ (−23)

Answer 1

To determine whether each quotient will be positive or negative, we need to look at the signs of the numbers in each division:

1. **−725 ÷ (−29)**: The dividend is negative and the divisor is negative. A negative divided by a negative is positive. Therefore, this quotient will be positive.

2. **1,001 ÷ (−143)**: The dividend is positive and the divisor is negative. A positive divided by a negative is negative. Therefore, this quotient will be negative.

3. **−111 ÷ 37**: The dividend is negative and the divisor is positive. A negative divided by a positive is negative. Therefore, this quotient will be negative.

4. **657 ÷ (−23)**: The dividend is positive and the divisor is negative. A positive divided by a negative is negative. Therefore, this quotient will be negative.

Based on this analysis, the only quotient that can be determined to be positive is **−725 ÷ (−29)**.