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

Question

(831)×4×3= (8-3-1)\times4\times3=

Video Solution

Solution Steps

00:00 Solve
00:03 Always solve parentheses first
00:06 Since in 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 And this is the solution to the question

Step-by-Step Solution

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 of them,

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 and 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.

Answer

48