Using the rules for dividing signed numbers, what is the quotient when you divide 56÷(-4)÷(-2)?
To divide signed numbers, we can use the rule that states "Dividing two numbers with the same sign will result in a positive quotient, while dividing two numbers with different signs will result in a negative quotient."
First, let's perform the division 56 ÷ (-4):
56 ÷ (-4) = -14
Next, let's divide -14 by -2:
-14 ÷ (-2) = 7
Therefore, the quotient when you divide 56 ÷ (-4) ÷ (-2) is 7.
To solve 56 ÷ (-4) ÷ (-2), we can follow the rules for dividing signed numbers step-by-step.
Step 1: Divide 56 ÷ (-4)
To divide two numbers with different signs, we use the rule that the quotient will have the opposite sign of the dividend. In this case, because 56 is positive (+56) and -4 is negative (-4), the quotient will be negative.
56 ÷ (-4) = -14
Step 2: Divide (-14) ÷ (-2)
To divide two negative numbers, the rule is that the quotient will be positive.
(-14) ÷ (-2) = 7
Therefore, the quotient when you divide 56 ÷ (-4) ÷ (-2) is 7.
To divide signed numbers, you follow these rules:
1. If the signs are the same (both positive or both negative), the result is positive.
2. If the signs are different (one positive and one negative), the result is negative.
Let's simplify the given expression step by step:
First, we can simplify the expression inside the parentheses:
56 ÷ (-4) = -14
Now, let's simplify the larger expression by dividing -14 by -2:
-14 ÷ (-2) = 7
Therefore, the quotient when you divide 56 ÷ (-4) ÷ (-2) is 7.