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 or negative, we can use the rule that a positive number divided by a negative number is negative, and a negative number divided by a negative number is positive.

1. For \(-725 ÷ (-29)\):
- Both numbers are negative, so the quotient is positive.

2. For \(657 ÷ (-23)\):
- Here, 657 is positive and -23 is negative, so the quotient is negative.

3. For \(1,001 ÷ (-143)\):
- 1,001 is positive and -143 is negative, so the quotient is negative.

4. For \(-111 ÷ 37\):
- -111 is negative and 37 is positive, so the quotient is negative.

Thus, the only quotient that we can determine will be positive is \(-725 ÷ (-29)\).