Solve the Expression: 18+2×1 Using Order of Operations

Order of Operations with Simple Multiplication

18+2×1= ? 18+2\times1=\text{ ?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's solve this math problem together!
00:06 Remember, it's important to do multiplication and division first, before moving on to addition and subtraction.
00:14 Alright, let's go ahead and solve it step by step.
00:17 Great job! This is how we find the solution. Well done!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

18+2×1= ? 18+2\times1=\text{ ?}

2

Step-by-step solution

According to the order of operations, first put the multiplication operation in parenthesis:

18+(2×1)= ? 18+(2\times1)=\text{ ?}

Then solve the exercise inside the parenthesis:

2×1=2 2\times1=2

Which leaves us with:

18+2=20 18+2=20

3

Final Answer

20

Key Points to Remember

Essential concepts to master this topic
  • Rule: Multiplication must always be performed before addition operations
  • Technique: Calculate 2×1=2 2\times1 = 2 first, then add 18
  • Check: Verify final answer: 18+2=20 18 + 2 = 20

Common Mistakes

Avoid these frequent errors
  • Adding before multiplying
    Don't calculate 18 + 2 = 20, then multiply by 1 to get 20! This ignores PEMDAS order and gives wrong results for more complex problems. Always multiply first, then add the result.

Practice Quiz

Test your knowledge with interactive questions

\( 9+3-1= \)

FAQ

Everything you need to know about this question

Why can't I just work left to right like reading?

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Mathematics has a special order called PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). Working left to right would give different answers and make math inconsistent!

What if there were no multiplication in this problem?

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If it was just 18+2 18 + 2 , then you would work left to right since addition and subtraction have equal priority. But multiplication always comes first!

How do I remember the order of operations?

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Remember PEMDAS with "Please Excuse My Dear Aunt Sally" or BODMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction). Practice with simple problems first!

Does it matter that 2×1 equals 2?

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Even though 2×1=2 2\times1 = 2 seems simple, you still must follow the order! This builds good habits for harder problems like 18+3×4 18 + 3\times4 .

What if I got 21 as my answer?

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If you got 21, you probably calculated (18+2)×1 (18 + 2) \times 1 instead. Remember: multiplication first, then addition, unless parentheses say otherwise!

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