Without calculating which of the following quotient, can you determine will be positive?

Without calculating, we can determine the sign of a quotient by considering the signs of the numerator and the denominator.

If the numerator and denominator have the same sign (both positive or both negative), then the quotient will be positive.

If the numerator and denominator have different signs (one is positive and the other is negative), then the quotient will be negative.

To determine whether a quotient is positive or negative without calculating, you need to consider the signs of the numerator and denominator. Here are some rules:

1. If both the numerator and denominator are positive, the quotient will be positive.
2. If both the numerator and denominator are negative, the quotient will be positive.
3. If the numerator is negative and the denominator is positive, the quotient will be negative.
4. If the numerator is positive and the denominator is negative, the quotient will be negative.

Therefore, in order to determine which quotient will be positive without calculating it, you need to know the signs of the numerator and denominator for each quotient.