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Let's begin by remembering the order of arithmetic operations: calculation of the operation within parentheses, multiplication and division (from left to right), addition and subtraction (from left to right)
We must also underline that when there are parentheses within parentheses, we should start with the innermost first.
In this exercise, there are only subtraction operations and parentheses within parentheses.
Therefore, we will first perform the operation of the inner parentheses. After which we will be able to remove the inner parentheses and will be left with only one pair of parentheses.
Keep in mind
What happens when there is a sequence of two signs present in the exercise (these are usually separated by parentheses) Let's highlight several different cases:
When a sequence with two plus signs appears, the result will also be a plus.
When a sequence with two minus signs appears, the result will also be a plus.
When a sequence with minus and plus signs or plus and minus signs appears, the result will be minus.
Now we will perform the operation of the remaining parentheses and after the calculation, we will remove the parentheses.
Therefore, the correct answer is option c: (3)
\( 100-(5+55)= \)
Always start with the innermost (deepest) parentheses first! In , solve (20-8) first because it's nested deepest inside.
After solving what's inside, you can remove those parentheses completely. So (20-8) becomes 12, and your expression becomes simpler:
The nested structure changes everything! You're not doing 25-34. You're doing 25-(result of inner calculation). Since 34-12=22, you get 25-22=3, which is positive.
No! Parentheses change the order of operations completely. Without following the nested structure, you'll get the wrong answer every time.
Work through each step carefully and write down each result: (20-8)=12, then (34-12)=22, finally 25-22=3. Each step should make sense!
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