Using the rules for dividing signed numbers, what is the quotient when you divide 56÷(−4)÷(−2)?(1 point)
Responses
28
28
−28
negative 28
−7
negative 7
7
To find the quotient when you divide 56 by -4 and then divide the result by -2, you can use the rule that states "When dividing signed numbers, divide the absolute values and use the rules for multiplying signed numbers to determine the sign of the quotient."
First, divide 56 by -4: 56 ÷ -4 = -14
Next, divide -14 by -2: -14 ÷ -2 = 7
Therefore, the quotient when you divide 56 ÷ (-4) ÷ (-2) is 7.
To divide signed numbers, we follow the rules:
1. Determine the sign of the quotient:
- If both numbers have the same sign (e.g., positive ÷ positive or negative ÷ negative), the quotient will be positive.
- If the numbers have different signs (e.g., positive ÷ negative or negative ÷ positive), the quotient will be negative.
2. Divide the absolute values of the numbers.
Applying these rules to 56 ÷ (-4) ÷ (-2):
1. Both -4 and -2 have the same sign (they are both negative), so the quotient will be positive.
2. Divide the absolute values:
- Absolute value of 56 is 56.
- Absolute value of -4 is 4.
- Absolute value of -2 is 2.
Therefore, the division becomes: 56 ÷ 4 ÷ 2.
Now, let's solve the division step by step:
56 ÷ 4 = 14
14 ÷ 2 = 7
So, the quotient when you divide 56 ÷ (-4) ÷ (-2) is 7.