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

Question

Solve the following:

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

Video Solution

Solution Steps

00:00 Solve the following problem
00:04 Always solve the parentheses first
00:07 Multiplication and division precede addition and subtraction
00:18 Continue to solve the expression according to the correct order of operations
00:33 This is the solution

Step-by-Step Solution

Let's simplify this expression while adhering to the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses take priority over all.

In our 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 that 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

To summarise:

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