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According to the order of operations, first we solve the exercise within parentheses:
Now, the exercise obtained is:
\( 100-(30-21)= \)
Math has special rules called Order of Operations (PEMDAS/BODMAS). Parentheses always come first, no matter where they appear in the expression!
Then you follow the rest of the order: Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). But parentheses always take priority when present!
Think of parentheses as a "math container" - you must empty the container first before using what's inside. Or remember PEMDAS: Parentheses, Exponents, Multiply/Divide, Add/Subtract.
Solve each set of parentheses from left to right first, then continue with the rest of the order of operations. Always work on the innermost parentheses first if they're nested!
Because , so we get . When you subtract a number from itself, the result is always zero! This shows why following order of operations matters.
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