Solve [(5-2):3-1]×4: Order of Operations Practice

Order of Operations with Nested Brackets

[(52):31]×4= [(5-2):3-1]\times4=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve the following expression
00:03 Always solve the parentheses first
00:07 Division precedes subtraction
00:14 A number multiplied by 0 will always equal 0
00:18 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

[(52):31]×4= [(5-2):3-1]\times4=

2

Step-by-step solution

In the order of operations, parentheses come before everything else.

We start by solving the inner parentheses in the subtraction operation:

((3):31)×4= ((3):3-1)\times4= We continue with the inner parentheses in the division operation and then subtraction:

(11)×4= (1-1)\times4=

We continue solving the subtraction exercise within parentheses and then multiply:

0×4=0 0\times4=0

3

Final Answer

0 0

Key Points to Remember

Essential concepts to master this topic
  • BODMAS Rule: Brackets first, then division, multiplication, addition, subtraction
  • Technique: Work from innermost brackets: (5-2)=3, then 3÷3=1, then 1-1=0
  • Check: Final multiplication 0×4=0 confirms all bracket operations were correct ✓

Common Mistakes

Avoid these frequent errors
  • Working left to right without respecting bracket hierarchy
    Don't solve 5-2÷3-1×4 from left to right = wrong answer 11! This ignores the brackets that change the order completely. Always solve innermost brackets first, then work outward.

Practice Quiz

Test your knowledge with interactive questions

What is the result of the following equation?

\( 36-4\div2 \)

FAQ

Everything you need to know about this question

Why do I solve (5-2) first when division comes before subtraction in BODMAS?

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Brackets always come first in BODMAS! Even though division normally comes before subtraction, the brackets around (5-2) mean you must solve this subtraction before anything else.

How do I know which brackets to solve first when they're nested?

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Always work from the innermost brackets outward. Think of it like peeling an onion - start with the center and work your way out layer by layer.

What's the difference between [ ] and ( ) brackets?

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Both types of brackets work the same way in BODMAS! Whether you see square brackets [ ] or round brackets ( ), solve the innermost ones first.

Can I get zero as an answer in multiplication problems?

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Absolutely! When any number is multiplied by zero, the result is always zero. In this problem, we get 0×4=0 0 \times 4 = 0 , which is perfectly correct.

What if I made a mistake in the brackets - how can I check?

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Work through each step slowly and write down every calculation. For this problem: (5-2)=3, then 3÷3=1, then 1-1=0, finally 0×4=0. Each step should make sense!

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