Using the rules for dividing signed numbers, what is the quotient when you divide 56÷(−4)÷(−2)?
To divide two signed numbers, we multiply the dividend by the reciprocal of the divisor.
First, we divide 56 by -4:
\[\frac{56}{-4}= -14\]
Next, we divide -14 by -2:
\[\frac{-14}{-2}=7\]
Therefore, the quotient when you divide 56 ÷ (-4) ÷ (-2) is 7.
To divide signed numbers, we follow these rules:
1. If the signs are the same, the quotient is positive.
2. If the signs are different, the quotient is negative.
Let's solve the expression step-by-step:
First, we divide 56 by -4:
56 ÷ -4 = -14
Next, we divide -14 by -2:
-14 ÷ -2 = 7
Therefore, the quotient when you divide 56÷(−4)÷(−2) is 7.