Solve the Expression: 7+21÷7×4+3-9 Using Order of Operations

7+21:7×4+39= 7+21:7\times4+3-9=

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Step-by-step video solution

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00:00 Multiplication and division take precedence over addition and subtraction
00:10 When there are multiple operations at the same level of the order of operations hierarchy, we solve from left to right
00:20 Let's continue with the remaining multiplication operation
00:31 We're left with only addition and subtraction operations
00:34 Addition and subtraction are at the same level of the hierarchy, so we solve from left to right
00:51 That's the solution!

Step-by-step written solution

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1

Understand the problem

7+21:7×4+39= 7+21:7\times4+3-9=

2

Step-by-step solution

According to the rules of the order of arithmetic operations, we must first place the multiplication and division exercises inside of parentheses:

7+(21:7×4)+39= 7+(21:7\times4)+3-9=

We then proceed to solve the exercise inside of the parentheses from left to right:

21:7=3 21:7=3

3×4=12 3\times4=12

Which results in the following exercise:

7+12+39= 7+12+3-9=

We then finish by solving the exercise from left to right:

7+12=19 7+12=19

19+3=22 19+3=22

229=13 22-9=13

3

Final Answer

13

Practice Quiz

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\( 8 + 3 \times 2 = \)

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