Solve (8-3-1)×4×3: Order of Operations Practice Problem

Solve the following problem:

(831)×4×3= (8-3-1)\times4\times3=

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Step-by-step video solution

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00:00 Solve the following problem
00:03 Always solve the parentheses first
00:06 Given that within the parentheses there's only subtraction, we'll solve from left to right
00:13 Now we only have multiplication, so we'll solve from left to right
00:16 Each time we'll solve the 2 leftmost factors
00:21 This is the solution

Step-by-step written solution

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1

Understand the problem

Solve the following problem:

(831)×4×3= (8-3-1)\times4\times3=

2

Step-by-step solution

Let's simplify this expression whilst following the order of operations. Exponents precede multiplication and division, which in turn precede addition and subtraction, and parentheses precede all of the above.

Therefore, we'll start by simplifying the expressions in parentheses first:
(831)43=443 (8-3-1)\cdot4\cdot3= \\ 4\cdot4\cdot3

We'll continue to calculate the result of the expression obtained in the last step, step by step from left to right (which is the regular order of arithmetic calculations):

443=163=48 4\cdot4\cdot3 =\\ 16\cdot3 =\\ 48

Note that since the commutative property applies to multiplication, and in the expression we simplified above there is multiplication 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 calculations (in the absence of parentheses, or other preceding arithmetic operations according to the order of operations mentioned at the beginning of the solution)

Therefore, the correct answer is answer B.

3

Final Answer

48

Practice Quiz

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\( 94+12+6= \)

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