Final answer:
To evaluate the expression -4+(-20)-:(-4), first perform the division which results in 5, and then add this to -4, resulting in a final answer of 1.
Step-by-step explanation:
The question asks to evaluate -4+(-20)-:(-4) by following the order of operations. This process is also known as PEMDAS/BODMAS which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). In this expression, we only have addition and division to contend with. To solve, we first address the division since it comes before addition in the order of operations.
The division part of the expression is: -20 / (-4). When dividing two numbers with the same sign, the result is positive. Therefore, -20 / (-4) = 5. Next, we add this result to -4: -4 + 5. The rules of addition indicate that when we have two numbers with opposite signs, we subtract the smaller number from the larger number and keep the sign of the larger absolute value, resulting in 1 because 5 - 4 = 1.
The final answer to the expression -4+(-20)-:(-4) is 1.