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

\( 0+0.2+0.6= \) ?

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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