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
−725 ÷ (−29)
negative 725 divided by Left Parenthesis negative 29 Right Parenthesis
1,001 ÷ (−143)
1,001divided by Left Parenthesis negative 143 Right Parenthesis
−111 ÷ 37
To determine if a quotient will be positive, we need to identify cases where the numerator and denominator have the same sign (both positive or both negative).
Based on this, we can determine that the quotient -725 ÷ (-29) will be positive because both the numerator (-725) and the denominator (-29) are negative.
To determine whether a quotient will be positive or negative without calculating, you can apply the following rule:
A quotient will be positive if both the dividend (the number being divided) and the divisor (the number by which we are dividing) have the same sign.
Based on this rule, we can determine that the following quotient will be positive:
657 ÷ (-23)
In this case, both the dividend (657) and the divisor (-23) are negative, so the quotient will be positive.