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Order of Operations
publish date: 2024/07/02 10:48:12.751592 UTC
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Sort the following order of operations steps to know how to use the order of operations correctly
Evaluate all exponential expressions.
Perform all calculations within parentheses and other grouping symbols following the order listed in Steps 2-4 below, working from the innermost pair of grouping symbols to the outermost pair.
Perform all additions and subtractions as they occur from left to right.
Perform all multiplications and divisions as they occur from left to right.
Correct Answer
(1) Perform all calculations within parentheses and other grouping symbols following the order listed in Steps 2-4 below, working from the innermost pair of grouping symbols to the outermost pair.
(2) Evaluate all exponential expressions.
(3) Perform all multiplications and divisions as they occur from left to right.
(4) Perform all additions and subtractions as they occur from left to right.
Explanation
When grouping symbols have been removed, repeat Steps 2-4 to complete the calculation.
If a fraction bar is present, evaluate the expression above the bar (called the numerator) and the expression below the bar (called the denominator) separately. Then perform the division indicated by the fraction bar, if possible.
Reference
Mathematics for college students