Solve 7-(4+2): Order of Operations with Parentheses

PEMDAS Application with Simple Parentheses

7(4+2)= 7-(4+2)=

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Step-by-step video solution

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00:00 Solve
00:03 Always solve parentheses first
00:08 Now solve as usual
00:11 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

7(4+2)= 7-(4+2)=

2

Step-by-step solution

According to the order of operations, we first solve the exercise within parentheses:

4+2=6 4+2=6

Now we solve the rest of the exercise:

76=1 7-6=1

3

Final Answer

1 1

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always solve operations inside parentheses first before other steps
  • Technique: Calculate 4+2=6 4+2=6 first, then 76=1 7-6=1
  • Check: Substitute back: 7(6)=1 7-(6)=1 matches our answer ✓

Common Mistakes

Avoid these frequent errors
  • Working left to right without parentheses first
    Don't calculate 7-4=3 then add 2 = wrong answer 5! This ignores the parentheses which change the order completely. Always solve what's inside parentheses before any other operations.

Practice Quiz

Test your knowledge with interactive questions

\( 100-(5+55)= \)

FAQ

Everything you need to know about this question

Why can't I just work from left to right?

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The order of operations (PEMDAS) tells us that parentheses come first, not left-to-right order. Parentheses change which operations happen together!

What if there were no parentheses in this problem?

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Without parentheses, 74+2 7-4+2 would equal 5 because we'd work left to right. The parentheses make 4+2 4+2 happen first!

How do I remember to do parentheses first?

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Think of PEMDAS: Please Excuse My Dear Aunt Sally. The 'P' for Parentheses always comes first in any math problem!

What if I have multiple sets of parentheses?

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Solve each set of parentheses separately first, then continue with the rest of the problem. Work from the innermost parentheses outward if they're nested.

Can I check my answer a different way?

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Yes! You can think: "What number minus 6 equals 1?" Since 76=1 7-6=1 , we know our parentheses calculation of 6 is correct.

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