Without calculating, which of the following quotients can you determine will be positive?(1 point)
Responses
657 ÷ (−23)
657 divided by Left Parenthesis negative 23 Right Parenthesis
−111 ÷ 37
negative 111 divided by 37
−725 ÷ (−29)
negative 725 divided by Left Parenthesis negative 29 Right Parenthesis
1,001 ÷ (−143)
From the given options, the quotient that can be determined will be positive without calculating is:
657 ÷ (-23)
To determine which of the quotients will be positive without calculating, we can apply the following rule:
A quotient will be positive if the dividend and divisor have the same sign (both positive or both negative).
Based on this rule, we can determine that the following quotients will be positive:
- 657 ÷ (-23)
- -725 ÷ (-29)
Both of these quotients will be positive because in both cases, the dividend and divisor are both negative.