You memorize the rules that are considered standard.
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They both use PEMDAS or Order of Operation
Well honey, any career that involves math or problem-solving will use the order of operations. So, if you're into being a mathematician, engineer, scientist, or even a financial analyst, better brush up on those PEMDAS rules. Otherwise, you'll be more lost than a sock in the dryer.
If the problem includes more than just one order of operation, then bidmas or bodmas (or whatever you have been taught to remember what it is) applies. What are the different orders of operations? 1. Parentheses or brackets (P or B) 2. Exponents, orders. indices (E, O, or I) 3. Multiplication/division (M and D) 4. Addition/subtraction (A and S) If you have a problem consisting of operations from two different orders (say a parenthesis and multiplication, or an exponent and addition), then you do the highest order operation first. The only time it is okay to not use order of operations is if every operation in the problem is of the same order. In that case, you can work from left to right. Example: 5+5+5-5+5+5-5+5X0 This has operations of two different orders. Therefore BIDMAS applies. Of the two operations, multiplication is of the highest order and must be done first. 5+5+5-5+5+5-5+5x0 =5+5+5-5+5+5-5+0 Now that all the operations are of the same order, we can work left to right. =10+5-5+5+5-5+0 =15-5+5+5-5+0 =10+5+5-5+0 =15+5-5+0 =20-5+0 =15+0 =15 If, on the other hand, we have problems like this: 5+5+5-5+5+5+5-5+5 or 5x5x5x5x5x5x5 then we can work from left to right since all the operations in both problems are of the same order.
Order of Operations
You have to use algebra to isolate the varaible and then use the order of operations to manipulate the numbers to equal one number. that one number will equal the value of the varaible.