without calculating, which of the following quotients can you determine will be positive?
Without calculating, we can determine that the following scenarios will result in positive quotients:
1. When the dividend (numerator) is positive and the divisor (denominator) is positive.
2. When the dividend is negative and the divisor is negative.
So, the quotients that can be determined to be positive are:
- A positive number divided by a positive number.
- A negative number divided by a negative number.
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
Which of the following does not have the same value as the others -3/7 3/-7 -3/7 -3/-7
To determine which of the following quotients will be positive without calculating, we can examine the signs of the numerator and denominator.
If the numerator and denominator have the same sign (both positive or both negative), the quotient will be positive.
If the numerator and denominator have different signs (one positive and one negative), the quotient will be negative.
Without knowing the specific options you are referring to, I cannot provide a specific answer. However, you can follow this general rule to determine the sign of the quotient without calculating.
To determine which of the following quotients will be positive without calculating, you need to understand the rules for positive and negative numbers.
If the dividend and divisor have the same sign (either both positive or both negative), the quotient will be positive.
If the dividend and divisor have different signs (one positive and one negative), the quotient will be negative.
Therefore, you can determine that the following quotients will be positive without calculating:
1. Dividend: Positive, Divisor: Positive
2. Dividend: Negative, Divisor: Negative
In these cases, because the signs of both the dividend and divisor are the same, the quotient will be positive.