Solve the Expression: 6/2 + 5 Step by Step

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

While we read from left to right, math has special rules called order of operations (PEMDAS). Division must be done before addition, regardless of position!

Q: What if I got 3 as my answer?

You probably forgot to add 5! After dividing $ 6 ÷ 2 = 3 $, you must continue: $ 3 + 5 = 8 $.

Q: How do I remember PEMDAS?

Try the phrase "Please Excuse My Dear Aunt Sally": Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

Q: What if there were parentheses like (6/2) + 5?

The parentheses don't change anything here! $ (6÷2) + 5 $ still equals 8 because division already comes before addition in PEMDAS.

Q: Is 6/2 the same as 6 ÷ 2?

Yes! The symbols / and ÷ both mean division. So $ 6/2 = 6 ÷ 2 = 3 $.

Order of Operations with Division First

$6 / 2 + 5 =$

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Understand the problem

$6 / 2 + 5 =$

Step-by-step solution

First, perform the division:

$6 / 2 = 3$

Then add 5:

$3 + 5 = 8$

Final Answer

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Division comes before addition in order of operations
Technique: Calculate 6 ÷ 2 = 3 first, then 3 + 5
Check: Substitute back: 6/2 + 5 = 3 + 5 = 8 ✓

Common Mistakes

Avoid these frequent errors

Adding before dividing
Don't add 2 + 5 = 7 first, then divide 6 ÷ 7! This ignores order of operations and gives wrong answers. Always follow PEMDAS: division comes before addition, so calculate 6 ÷ 2 first.

Practice Quiz

Test your knowledge with interactive questions

$3 + 4 \times 2 =$

FAQ

Everything you need to know about this question

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

While we read from left to right, math has special rules called order of operations (PEMDAS). Division must be done before addition, regardless of position!

What if I got 3 as my answer?

You probably forgot to add 5! After dividing $6 ÷ 2 = 3$ , you must continue: $3 + 5 = 8$ .

How do I remember PEMDAS?

Try the phrase "Please Excuse My Dear Aunt Sally": Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

What if there were parentheses like (6/2) + 5?

The parentheses don't change anything here! $(6÷2) + 5$ still equals 8 because division already comes before addition in PEMDAS.

Is 6/2 the same as 6 ÷ 2?

Yes! The symbols / and ÷ both mean division. So $6/2 = 6 ÷ 2 = 3$ .

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