Solve the following problem:
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Solve the following problem:
Adhering to the order of operations: First calculate any operations inside of the parentheses. Next proceed to the multiplication and division operations (left to right) and finally address the addition and subtraction operations.(left to right)
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, after which we can remove the inner parentheses and be left with only one set of parentheses.
Pay attention
When an exercise contains a sequence of two signs (which are usually separated by parentheses) we distinguish between several cases:
When there is a sequence of two plus signs, the result will be plus.
When there is a sequence of two minus signs, the result will be plus.
When there is a sequence of minus and plus or plus and minus, the result will be minus.
Now we'll perform the operation in the remaining parentheses and after calculating we'll eventually remove the parentheses
Reminder - Adding and Subtracting Signed Numbers
When we have two numbers with different signs, it's important to determine which number is larger in absolute value (absolute - distance from zero). The larger number will determine the sign of the result, and we'll actually perform a subtraction problem.
Therefore the answer is option c - (-24)
\( 100-(5+55)= \)
The order of operations requires you to handle parentheses first, and when parentheses are nested, you must start with the innermost ones. Think of it like peeling an onion - work from the inside out!
Subtracting a negative is the same as adding a positive! So . Remember: two negatives make a positive.
Write out each step clearly and only remove one set of parentheses at a time. Start with the innermost calculation, then rewrite the entire expression with that result before moving to the next level.
In , you're subtracting a larger number from a smaller number, which always gives a negative result. The absolute difference is 24, but since 97 > 73, the answer is -24.
Yes, but be very careful with parentheses! Make sure you enter them exactly as written. It's often better to work step-by-step by hand first to understand the process.
Double-check your sign rules! The most common errors are in handling (should become 89+8) and the final subtraction (should be negative).
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