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

Question

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.