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

Question

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

Video Solution

Solution Steps

00:00 Solve
00:03 Always solve parentheses first
00:06 Always solve multiplication and division before addition and subtraction
00:10 And this is the solution to the question

Step-by-Step Solution

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

Inside the parentheses, we will first solve the multiplication problem and then add.

To make solving the multiplication problem easier, we will convert 8 to 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 problem inside the parentheses and finally multiply:

2×7=14 2\times7=14

Answer

14 14