Solve the Expression: 8-(2+1) Using Order of Operations

Order of Operations with Parentheses First

8(2+1)= 8-(2+1)=

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Step-by-step video solution

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00:00 Solve
00:03 Always solve parentheses first
00:06 Now we'll continue solving as usual
00:09 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

8(2+1)= 8-(2+1)=

2

Step-by-step solution

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

2+1=3 2+1=3

Now we solve the rest of the exercise:

83=5 8-3=5

3

Final Answer

5 5

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always solve expressions inside parentheses before other operations
  • Technique: Calculate 2+1=3 first, then subtract: 8-3=5
  • Check: Verify by following PEMDAS order and getting 5 ✓

Common Mistakes

Avoid these frequent errors
  • Working left to right without considering parentheses
    Don't solve 8-2 first to get 6, then add 1 = wrong answer of 7! This ignores the parentheses which group operations together. Always solve what's inside parentheses before doing anything else.

Practice Quiz

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\( 100-(30-21)= \)

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 the correct sequence! Parentheses come first, so (2+1) (2+1) must be solved before subtraction, even though subtraction appears first when reading left to right.

What does PEMDAS stand for?

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Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. This gives us the correct order to solve mathematical expressions!

What if there are multiple sets of parentheses?

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Solve all parentheses first, working from the innermost ones outward. Each set must be completed before moving to other operations.

How do I remember to check my work?

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After getting your answer, substitute it back or re-solve using the order of operations. For 8(2+1) 8-(2+1) , double-check: parentheses first gives 3, then 83=5 8-3=5

Can I get a negative answer with subtraction?

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Yes! If the number being subtracted is larger than the first number, you'll get a negative result. Always follow the order of operations regardless of whether your answer is positive or negative.

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