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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 entirely.
Therefore, the answer is option b: (-7)
\( 100-(5+55)= \)
The order of operations requires you to work from inside out! Just like peeling an onion, you must solve before you can handle the outer expression.
Two minus signs make a plus! Think of it as subtracting a negative number. So because you're removing a debt of 3.
Work step by step and rewrite the expression after each calculation. Don't try to do everything in your head - write out:
No! You must follow the order of operations. Parentheses always come first, and with nested parentheses, you must start with the innermost ones.
Negative answers are normal! When you subtract a larger number from a smaller one (), you get negative. Double-check by working backwards: ✓
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