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Question

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

−111 ÷ 37
negative 111 divided by 37

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

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

−725 ÷ (−29)
negative 725 divided by Left Parenthesis negative 29 Right Parenthesis
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Answer 1

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

• A positive number divided by a negative number results in a negative quotient.
• A negative number divided by a positive number also results in a negative quotient.
• A negative number divided by a negative number results in a positive quotient.
• A positive number divided by a positive number results in a positive quotient.

Now, let's analyze each option:

1. −111 ÷ 37: Here, a negative number is divided by a positive number. This will result in a negative quotient.

2. 657 ÷ (−23): Here, a positive number is divided by a negative number. This too will result in a negative quotient.

3. 1,001 ÷ (−143): Again, a positive number divided by a negative number will yield a negative quotient.

4. −725 ÷ (−29): A negative number divided by a negative number results in a positive quotient.

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