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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.
Adding and subtracting directed numbers is based on several key principles. In this case, we will remember that when we have two directed numbers with the same sign (plus or minus), the result will also have the same sign, which will actually be the result of an addition exercise.
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 b: (3)
\( 100-(5+55)= \)
The order of operations (PEMDAS/BODMAS) requires you to handle parentheses from the inside out. Think of it like unpacking nested boxes - you must open the inner box before you can see what's in the outer box!
Two minus signs create a double negative, which becomes positive! For example: . Remember: minus times minus equals plus.
Work step by step and rewrite the expression after each calculation. This helps you see which parentheses you've solved and which ones are left to handle.
Take your time with sign rules! When subtracting a negative number, it becomes addition. Practice with simpler examples like first.
The order of operations gives you one correct path. While you might rearrange some steps, you must always handle the innermost parentheses first - there's no shortcut around this rule!
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