Solve: 81÷9÷3+18+27-10 Using Order of Operations

Order of Operations with Sequential Division

Solve the following problem using the order of operations:

81:9:3+18+2710=? 81:9:3+18+27-10=\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:13 Let's solve this math expression together.
00:17 Remember, always do multiplication and division first, before you add or subtract.
00:23 Start with the division part on its own, and then continue with the rest.
00:36 Work through each step, adding everything up at the end.
00:41 And there you have it, that's the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following problem using the order of operations:

81:9:3+18+2710=? 81:9:3+18+27-10=\text{?}

2

Step-by-step solution

According to the order of operations rules, we'll place the division exercises in parentheses:

(81:9:3)+18+2710= (81:9:3)+18+27-10=

Let's solve the expression in parentheses from left to right:

81:9=9 81:9=9

9:3=3 9:3=3

We should obtain the following expression:

3+18+2710= 3+18+27-10=

Let's solve the expression from left to right:

3+18=21 3+18=21

21+27=48 21+27=48

4810=38 48-10=38

3

Final Answer

38

Key Points to Remember

Essential concepts to master this topic
  • Rule: Division and multiplication work from left to right
  • Technique: Group divisions first: 81÷9÷3 becomes (81÷9)÷3 = 9÷3 = 3
  • Check: Work step by step: 3+18+27-10 = 21+27-10 = 48-10 = 38 ✓

Common Mistakes

Avoid these frequent errors
  • Solving addition and subtraction before division
    Don't solve 18+27-10 first = wrong order gives 81÷9÷3+35 = completely wrong! Division has higher priority than addition/subtraction. Always complete all divisions first, then work left to right with remaining operations.

Practice Quiz

Test your knowledge with interactive questions

Solve the following problem:

\( 15\times2\times8= \)

FAQ

Everything you need to know about this question

Why do I divide from left to right instead of right to left?

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Division and multiplication have the same priority level, so we solve them in order from left to right. If you divided 9÷3 first, you'd get 81÷3 = 27, which gives a completely different answer!

What does the colon (:) symbol mean in math?

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The colon (:) is just another way to write division, exactly like the ÷ symbol. So 81:9 81:9 means the same as 81÷9 81÷9 .

Do I really need to solve divisions before addition?

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Yes! The order of operations (PEMDAS/BODMAS) requires that you complete all multiplication and division before any addition and subtraction. This prevents calculation errors.

Can I use parentheses to make this easier?

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Absolutely! Adding parentheses like (81÷9÷3)+18+2710 (81÷9÷3)+18+27-10 helps you visualize the order and avoid mistakes. Just remember the original expression already follows this order.

What if I get a different answer when checking?

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Go back and check each step carefully. The most common errors are:

  • Not dividing from left to right
  • Adding before dividing
  • Making simple arithmetic mistakes
Work slowly and double-check each calculation.

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