-3+5(-6)-[8-6*7)-4(13-5)]-3(-8-10)
Order Of operation
I searched Google under the key words "math order of operations" to get these possible sources:
http://www.google.com/search?client=safari&rls=en&q=math+order+of+operations&ie=UTF-8&oe=UTF-8
In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search. Also see http://hanlib.sou.edu/searchtools/.
The order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), is a set of rules to perform mathematical calculations in a specific sequence. To simplify the given expression, you need to follow the order of operations. Let's break down the expression step by step:
Step 1: Parentheses
- Start by simplifying any expressions inside parentheses, working from the innermost to the outermost.
- The expression [8-6\*7)-4(13-5)] contains two sets of parentheses. We can simplify them separately:
[8-6\*7) = [8-42] = [-34]
4(13-5) = 4\*8 = 32
Therefore, the expression becomes:
-3+5(-6)-[-34-32]-3(-8-10)
Step 2: Exponents
- If there are any exponents, simplify them next. However, there are no exponents in this expression, so we move on.
Step 3: Multiplication and Division
- Perform any multiplication and division operations from left to right.
- In this expression, we have multiplication between some numbers, so we'll calculate those:
-3+5(-6) = -3+(-30) = -33
-3(-8-10) = -3\*(-18) = 54
The expression now becomes:
-33-[-34-32]+54
Step 4: Addition and Subtraction
- Lastly, perform any addition and subtraction operations from left to right.
- In the final step, we'll calculate the addition and subtraction:
-33-[-34-32]+54 = -33-[(-34)-32]+54 = -33-[-2]+54 = -33+2+54 = 23
Therefore, the result of the given expression -3+5(-6)-[8-6\*7)-4(13-5)]-3(-8-10) is 23.