3 × 3 − 3 ÷ 3 + 3
The essential rule to know
The secret here is the order of operations (the famous priority):
Multiplication and division
Then addition and subtraction
Always from left to right when they are at the same level
Step by step
So we start with multiplication and division:
3 × 3 = 9
3 ÷ 3 = 1
The expression becomes:
9 − 1 + 3
Next, we calculate from left to right:
9 − 1 = 8
8 + 3 = 11
Final result: 11
Why so many errors?
Many people make this classic mistake:
simply calculating from left to right without respecting the order of operations.
For example:
3 × 3 = 9
9 − 3 = 6
6 ÷ 3 = 2
2 + 3 = 5 (incorrect)
This quick reflex is precisely the trap!
What this teaches us
This type of calculation becomes widespread for a simple reason:
it seems easy… so we don't check.
But in math, as in life, going too fast often leads to error.
Take your time: that's often where the correct answer lies.
Respecting the rules guarantees a correct calculation.
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