Final answer:
The mathematical expression 7-[15-{ -3-6(5 of -6)}] simplifies to 169 by following the order of operations and using the rules for subtracting negative numbers.
Step-by-step explanation:
To solve the mathematical expression 7-[15-{ -3-6(5 of -6)}], we must follow the order of Operations, also known as PEMDAS (parentheses, exponents, multiplication and division, addition and subtraction), and use the rules for subtracting negative numbers. Let's break the expression down step by step:
- First, solve the multiplication inside the innermost brackets: 6(5 of -6) is equivalent to 6(-30), which is -180.
- Next, subtract -180 from -3: -3 - (-180) is equivalent to -3 + 180, which is 177.
- Now, we have 7 - [15 - 177]. Since 15 - 177 equals -162, the expression simplifies to 7 - (-162).
- Finally, apply the rule for subtracting a negative: 7 - (-162) is the same as 7 + 162, which equals 169.
The solution to the original expression is 169.