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

657 ÷ (−23)
657 divided by Left Parenthesis negative 23 Right Parenthesis

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

−111 ÷ 37

Answer 1

To determine whether the quotients will be positive, we can use the rule that states:

- A positive number divided by a negative number yields a negative result.
- A negative number divided by a negative number yields a positive result.

Let's analyze each of the quotients:

1. **−725 ÷ (−29)**: Both numbers are negative, so this will yield a positive result.

2. **657 ÷ (−23)**: The numerator is positive and the denominator is negative, so this will yield a negative result.

3. **1,001 ÷ (−143)**: The numerator is positive and the denominator is negative, so this will yield a negative result.

4. **−111 ÷ 37**: The numerator is negative and the denominator is positive, so this will yield a negative result.

Based on this analysis, only the first quotient, **−725 ÷ (−29)**, will be positive.