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

Solve the following exercise:

\( 12+3\cdot0= \)

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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