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According to the order of operations, we first solve the exercise within parentheses:
Now we divide:
\( 100-(30-21)= \)
Mathematics has a special order called PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). This ensures everyone gets the same answer! Parentheses always come first, no matter where they appear.
Without parentheses, would equal 12 because we'd work left to right: 12÷2 = 6, then 6×2 = 12. The parentheses completely change the answer!
Think of parentheses as mathematical containers that must be opened first! You can't use what's inside until you've calculated it. Practice with Please Excuse My Dear Aunt Sally to remember PEMDAS.
Solve each set of parentheses separately, working from innermost to outermost. For example: 8÷(3+(2×1)) = 8÷(3+2) = 8÷5.
Yes! When you only have multiplication and division (no addition or subtraction), work left to right. But parentheses always override this rule and must be done first.
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