Without calculating which of the following QUOTIENTS, can you determine will be positive
Without calculating which of the following quotients will be positive, it cannot be determined. The positive/negative nature of a quotient depends on the signs of the numerator and denominator.
To determine the sign of a quotient without calculating it, consider the following rules:
1. When the numerator and denominator have the same sign, the quotient will be positive.
Example: (+)/(+) = positive
2. When the numerator and denominator have different signs, the quotient will be negative.
Example: (+)/(-) = negative
Using these rules, we can determine whether the following quotients will be positive:
1. (+)/(+) = positive
2. (-)/(+) = negative
3. (-)/(-) = positive
4. (+)/(-) = negative
Therefore, the quotients that will be positive are 1 and 3.
In order to determine whether a quotient will be positive or not, we need to think about the signs of the numbers involved. Here are some rules to consider:
1. Positive divided by a positive number is always positive.
2. Negative divided by a negative number is always positive.
3. Negative divided by a positive number is always negative.
4. Positive divided by a negative number is always negative.
Now, without calculating, we can simply look at the signs of the numbers in the quotients and determine which ones will be positive. Let's take a look at the options:
1. (-5) / (-2): According to rule 2, a negative divided by a negative is positive. Therefore, this quotient will be positive.
2. (-7) / 3: According to rule 3, a negative divided by a positive is negative. Therefore, this quotient will be negative.
3. 4 / (-8): According to rule 4, a positive divided by a negative is negative. Therefore, this quotient will be negative.
4. 6 / 2: According to rule 1, a positive divided by a positive is positive. Therefore, this quotient will be positive.
Based on the signs of the numbers involved in each quotient, we can determine that the first and the fourth options will be positive.