Solve the Expression: 8 - 2 + 6 Using Basic Arithmetic

Order of Operations with Left-to-Right Arithmetic

82+6= 8 - 2 + 6 =

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1

Understand the problem

82+6= 8 - 2 + 6 =

2

Step-by-step solution

Solve the additions and subtractions from left to right:

82=6 8 - 2 = 6

Then add 6:

6+6=12 6 + 6 = 12

3

Final Answer

12

Key Points to Remember

Essential concepts to master this topic
  • Rule: Perform addition and subtraction from left to right
  • Technique: First solve 8 - 2 = 6, then 6 + 6 = 12
  • Check: Count operations: 8 minus 2 plus 6 equals 12 ✓

Common Mistakes

Avoid these frequent errors
  • Adding and subtracting in wrong order
    Don't solve 2 + 6 first to get 8, then 8 - 8 = 0! This ignores left-to-right order and gives completely wrong results. Always work through addition and subtraction operations from left to right in sequence.

Practice Quiz

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\( 8 - 2 + 6 = \)

FAQ

Everything you need to know about this question

Why can't I add 2 + 6 first since it's easier?

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Great question! While 2 + 6 = 8 is easier to calculate, you must follow the left-to-right rule for same-level operations. Addition and subtraction have equal priority, so you solve them in order from left to right.

What if I accidentally get 0 as my answer?

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Getting 0 usually means you grouped 2 + 6 first, then subtracted from 8. Remember: 8(2+6) 8 - (2 + 6) would give 0, but our expression is 82+6 8 - 2 + 6 without parentheses!

How do I remember the left-to-right rule?

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Think of it like reading! You read words from left to right, so solve math the same way. When operations have the same priority (like + and -), always work left to right.

Are there any shortcuts for this type of problem?

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Yes! You can think ahead: since you're subtracting 2 and adding 6, that's a net addition of 4. So 8+4=12 8 + 4 = 12 . But always verify using the left-to-right method!

What would happen if there were parentheses?

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Parentheses change everything! If you saw 8(2+6) 8 - (2 + 6) , you'd solve the parentheses first: 88=0 8 - 8 = 0 . But without parentheses, stick to left-to-right order.

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