Solve the Expression: 8 + 6 ÷ 2 Using Order of Operations

Q: Why can't I just work from left to right like reading?

Math has special rules called order of operations that tell us which calculations to do first. Division and multiplication always come before addition and subtraction, no matter where they appear in the expression!

Q: What if I forget which operations come first?

Remember PEMDAS or BODMAS! These acronyms help you remember: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (left to right), then Addition and Subtraction (left to right).

Q: Would the answer change if it was written as 6 ÷ 2 + 8?

No! The answer would still be 11. Order of operations applies regardless of how the expression is arranged - division always happens before addition.

Q: How do I know I did the division correctly?

Double-check your division: $ 6 ÷ 2 = 3 $ because $ 3 × 2 = 6 $. Then verify the final answer by checking that $ 8 + 3 = 11 $.

Q: What would happen if there were parentheses around 8 + 6?

If the expression was $ (8 + 6) ÷ 2 $, then you'd calculate inside the parentheses first: $ 14 ÷ 2 = 7 $. Parentheses always come first in order of operations!

Order of Operations with Mixed Addition and Division

$8 + 6 \div 2 =$

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Understand the problem

$8 + 6 \div 2 =$

Step-by-step solution

To solve the expression $8 + 6 \div 2$ , we need to follow the order of operations, which dictates that we perform division and multiplication before addition and subtraction.

Step 1: Evaluate the division.

Inside the expression, we first calculate $6 \div 2$ .

$6 \div 2 = 3$

Step 2: Perform the addition.

Now, add the result to 8: $8 + 3$ .

$8 + 3 = 11$

Therefore, the correct answer is $11$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Division comes before addition in order of operations
Technique: Calculate $6 ÷ 2 = 3$ first, then add 8
Check: Verify final calculation: $8 + 3 = 11$ ✓

Common Mistakes

Avoid these frequent errors

Working left to right without following order of operations
Don't calculate 8 + 6 = 14 first and then divide by 2 to get 7! This ignores the proper order and gives the wrong answer. Always perform division and multiplication before addition and subtraction, regardless of position.

Practice Quiz

Test your knowledge with interactive questions

$8 + 3 \times 2 =$

FAQ

Everything you need to know about this question

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

Math has special rules called order of operations that tell us which calculations to do first. Division and multiplication always come before addition and subtraction, no matter where they appear in the expression!

What if I forget which operations come first?

Remember PEMDAS or BODMAS! These acronyms help you remember: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (left to right), then Addition and Subtraction (left to right).

Would the answer change if it was written as 6 ÷ 2 + 8?

No! The answer would still be 11. Order of operations applies regardless of how the expression is arranged - division always happens before addition.

How do I know I did the division correctly?

Double-check your division: $6 ÷ 2 = 3$ because $3 × 2 = 6$ . Then verify the final answer by checking that $8 + 3 = 11$ .

What would happen if there were parentheses around 8 + 6?

If the expression was $(8 + 6) ÷ 2$ , then you'd calculate inside the parentheses first: $14 ÷ 2 = 7$ . Parentheses always come first in order of operations!

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