Solve the Expression: 2+3×6-3×7+1 Using Order of Operations

Question

Complete the exercise:

$2+3\times6-3\times7+1=$

00:00 Multiplication and division come before addition and subtraction, so we'll start with them

00:13 Addition and subtraction are at the same level, so we'll solve from left to right

00:22 We'll use the commutative property to arrange the exercise conveniently

00:26 We'll solve again from left to right

00:33 And that's the solution!

According to the rules of the order of arithmetic operations, we must first solve the multiplication exercises.

We place them inside of parentheses in order to avoid confusion during the solution:

$2+(3\times6)-(3\times7)+1=$

We then solve the multiplication exercises:

$2+18-21+1=$

Lastly we solve the rest of the exercise from left to right:

$2+18=20$

$20-21=-1$

$-1+1=0$