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Let's simplify this expression while following the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses come before all else.
Therefore we'll start by simplifying the expressions in parentheses first:
Now we'll calculate the multiplication result step by step from left to right:
Note that since the commutative property of multiplication applies to the expression we simplified above between all terms, the order of operations in this calculation doesn't matter (it's not necessary to perform the left multiplication first etc. as we did). However it is recommended to practice performing operations from left to right since this is the natural order of arithmetic operations (in the absence of parentheses, or other preceding arithmetic operations according to the order of operations mentioned at the beginning of this solution).
Therefore the correct answer is answer C.
780
Solve the following problem:
\( 15\times2\times8= \)
Because the order of operations requires you to complete everything inside parentheses first! You must calculate (7+2+3), (7+6), and (12-3-4) separately before multiplying.
No! You can solve the parentheses in any order you want. Just make sure to complete each one fully before moving to multiplication.
Yes! Due to the commutative property, gives the same result as . However, calculating left to right is good practice.
Double-check your arithmetic! For this problem: , , and . Getting different results means there's an addition or subtraction error.
Use PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). In this problem, parentheses come first, then multiplication!
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