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Let's recall the order of arithmetic operations: calculate what's in parentheses, multiplication and division (from left to right), addition and subtraction (from left to right)
We emphasize that when there are parentheses within parentheses, we start with the innermost ones first.
In this exercise, there are only subtraction operations and parentheses within parentheses.
Therefore, we will first perform the operation in the inner parentheses, and after calculating we can remove the inner parentheses and be left with only one set of parentheses.
Now we will perform the operation in the remaining parentheses and after calculating we will remove the parentheses
Therefore the answer is option a - (14)
\( 100-(5+55)= \)
Because parentheses have priority over left-to-right order! When you see nested parentheses like , you must solve the innermost ones first, then work outward.
Use a step-by-step approach: Circle the innermost parentheses, solve them, then rewrite the expression. Keep doing this until all parentheses are gone!
Look for the deepest level! In , the expression is nested deepest, so start there.
Never! You must calculate what's inside parentheses before removing them. That's the whole point of the order of operations.
Make sure you're entering the parentheses correctly! Many calculators require you to input them exactly as written. Try entering it step by step to match the manual calculation.
Not really - nested parentheses require careful step-by-step work. The 'shortcut' is being systematic: always innermost first, then work outward methodically.
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