without calculating which of the following quotients can you determine will be positive
A 1001 divided (-143)
B -111 divided 37
C -725 divided (-29)
D 657 divided (-23)
To determine if a quotient will be positive or negative, we need to check the signs of the dividend and the divisor.
In option A, 1001 is positive and -143 is negative. Therefore, the quotient will be negative.
In option B, -111 is negative and 37 is positive. Therefore, the quotient will be negative.
In option C, -725 is negative and -29 is negative. Two negatives divided together result in a positive quotient.
In option D, 657 is positive and -23 is negative. Therefore, the quotient will be negative.
Therefore, only in option C, the quotient will be positive.
To determine which of the given quotients will be positive without calculating, we can look at the signs of the divisor and the dividend.
A. 1001 divided by (-143):
Since 1001 is positive and (-143) is negative, their quotient will be negative. This quotient is not positive.
B. (-111) divided by 37:
Both (-111) and 37 are negative, so the quotient will be positive. This quotient is positive.
C. (-725) divided by (-29):
Both (-725) and (-29) are negative, so the quotient will be positive. This quotient is positive.
D. 657 divided by (-23):
657 is positive, and (-23) is negative, so the quotient will be negative. This quotient is not positive.
Therefore, the quotients that can be determined to be positive without calculating are:
B. -111 divided by 37
C. -725 divided by -29