Solve 4+(6+6÷3)×2: Order of Operations Practice

Question

4+(6+6:3)2= 4+(6+6:3)\cdot2=

Video Solution

Solution Steps

00:00 Solve
00:04 Always solve parentheses first
00:07 Always solve multiplication and division before addition and subtraction
00:18 Continue solving according to the correct 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 them,

In the given expression there is a term in parentheses that needs to be multiplied, we'll start by simplifying this expression, remembering that division comes before addition, so we'll first perform the division operation within the parentheses and then the addition operation in this expression:

4+(6+6:3)2=4+(6+2)2=4+82= 4+(6+6:3)\cdot2= \\ 4+(6+2)\cdot2= \\ 4+8\cdot2=

Let's continue simplifying the expression we got in the last step, since multiplication comes before addition we'll first calculate the multiplication in the expression and then perform the addition operation:

4+82=4+16=20 4+8\cdot2= \\ 4+16= \\ 20

Let's summarize the simplification of the given expression, we got that:

4+(6+6:3)2=4+82=20 4+(6+6:3)\cdot2= \\ 4+8\cdot2= \\ 20

Therefore the correct answer is answer C.

Answer

20