Question

Using the rules for dividing signed numbers, what is the quotient when you divide 56÷(−4)÷(−2)?(1 point)
Responses

−28
negative 28

−7
negative 7

7
7

28

Answer 1

When dividing signed numbers, the rules state that:

1. Dividing two numbers with the same sign (both positive or both negative) gives a positive result.
2. Dividing two numbers with different signs (one positive and one negative) gives a negative result.

Let's solve the expression \( 56 \div (-4) \div (-2) \) step by step:

1. First, divide \( 56 \) by \( -4 \):
\[
56 \div (-4) = -14
\]

2. Next, divide the result \( -14 \) by \( -2 \):
\[
-14 \div (-2) = 7
\]

Since both divisions involved either a positive or negative number, the final result is positive.

Therefore, the quotient when you divide \( 56 \div (-4) \div (-2) \) is \( 7 \).

So the correct answer is:
**7**