Solve: [(124+8):4+16:2]+(12·3-3):11 - Order of Operations Challenge

Question

[(124+8):4+16:2]+(1233):11= [(124+8):4+16:2]+(12\cdot3-3):11=

Video Solution

Solution Steps

00:00 Solve
00:03 Always solve parentheses first
00:08 Within parentheses also maintain proper order of operations
00:14 Multiplication and division before addition and subtraction
00:21 Continue solving according to proper order of operations
00:33 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 these,

Therefore, we'll start by simplifying the expressions in parentheses first, noting that in this problem there are two pairs of parentheses, so we'll simplify gradually, starting with the expression inside the left parentheses in the first term on the left and perform the addition within them, while simultaneously simplifying the expression in the right parentheses, following the order of operations mentioned above, so we'll perform the multiplication in them first:

(124+8):4+16:2+(1233):11=132:4+16:2+(363):11 (124+8):4+16:2+(12\cdot3-3):11= \\ 132:4+16:2+(36-3):11

Let's continue simplifying the expression, first completing the simplification of the remaining right parentheses by performing the subtraction operation, and simultaneously performing the division operations in the first two terms of the expression we got in the last step, leaving the addition operations between all terms for the end in accordance with the order of operations:

132:4+16:2+(363):11=33+8+33:11 132:4+16:2+(36-3):11 =\\ 33+8+33:11

Let's continue, again performing first the division operation in the third term from the left and finally performing the addition operations:

33+8+33:11=33+8+3=44 33+8+33:11 =\\ 33+8+3=\\ 44

To summarize the simplification steps, we got that:

(124+8):4+16:2+(1233):11=33+8+3=44 (124+8):4+16:2+(12\cdot3-3):11= \\ 33+8+3=\\ 44

Therefore, the correct answer is answer D.

Answer

44