Solve: 2×(3+½×8) Using Order of Operations

Question

2×(3+12×8)= ? 2\times(3+\frac{1}{2}\times8)=\text{ ?}

Video Solution

Solution Steps

00:00 Solve the following problem
00:03 Always solve the parentheses first
00:06 Multiplication and division precede addition and subtraction
00:10 This is the solution

Step-by-Step Solution

According to the order of operations, parentheses take precedence over everything else.

Therefore, we will first solve the multiplication and then addition within parenthesis.

To make solving the multiplication exercise easier, we will convert 8 into a simple fraction:

2×(3+12×81)=2×(3+82)=2×(3+4) 2\times(3+\frac{1}{2}\times\frac{8}{1})=2\times(3+\frac{8}{2})=2\times(3+4)

Now we will solve the addition exercise inside the parentheses and finally multiply to get our answer:

2×7=14 2\times7=14

Answer

14 14