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

Question

Complete the exercise:

2+3×63×7+1= 2+3\times6-3\times7+1=

Video Solution

Solution Steps

00:00 Multiplication and division take precedence over and addition and subtraction
00:13 Addition and subtraction are at the same level according to the order of operations hierarchy , thus we solve from left to right
00:22 We use the commutative property to arrange the exercise in a more manageable format
00:26 We solve again from left to right
00:33 That's the solution!

Step-by-Step 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+(3×6)(3×7)+1= 2+(3\times6)-(3\times7)+1=

We then solve the multiplication exercises:

2+1821+1= 2+18-21+1=

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

2+18=20 2+18=20

2021=1 20-21=-1

1+1=0 -1+1=0

Answer

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