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Order of operations basics
Last updated: March 30, 2026
One of the first calculator mistakes is not a button mistake. It is reading the expression in the wrong order. That is why 2 + 3 × 4 often feels confusing before it feels obvious.
This guide focuses on the beginner version only: + - × ÷, parentheses, and a practical way to stop carrying the whole expression in your head.
Who this is for
Start here if expression order is still where the calculation falls apart.
- You still hesitate over why 2 + 3 × 4 becomes 14 instead of 20
- Mixed addition and multiplication make the expression feel unstable
- You want the core rule before you worry about basic versus scientific calculator workflows
What this helps you sort out
The first goal is simply to make the expression readable.
- You can treat × and ÷ as happening before + and - in the basic rule set
- You can read 2 + 3 × 4 as 2 + 12 and understand where 14 comes from
- You can use parentheses to show intended grouping instead of remembering it mentally
The simplest way to learn it
Use this order when you practice.
- 1
Learn the “multiply or divide first” rule
That single rule resolves many beginner stalls. In 2 + 3 × 4, the multiplication comes first, so the expression becomes 2 + 12.
- 2
Read 14 as a flow, not as trivia
If you see 14 as the result of 2 + (3 × 4), the answer becomes easier to trust than if you only memorize it as a rule fact.
- 3
Use parentheses when you want a different order
If you want 20, write (2 + 3) × 4. Parentheses are the tool for saying “do this part first.”
- 4
Use the scientific calculator when you want visible grouping
A basic calculator can still be enough, but explicit parentheses become easier to verify in the scientific layout.
Common mistakes
These are the beginner traps that keep showing up.
Reading everything from left to right with equal weight
That is the fastest way to turn 2 + 3 × 4 into 20. Mixed operators do not all carry the same priority.
Treating parentheses like decoration
Parentheses are not visual extras. They are the clearest way to tell the calculator what should happen first.
Overthinking calculator types before learning the rule
The first win is the expression rule itself. The tool choice matters after that, not before.
FAQ
Q. Why is 2 + 3 × 4 equal to 14?
A. Because multiplication happens before addition in the basic rule set, so 3 × 4 becomes 12 before the 2 is added.
Q. How do I make it equal 20 instead?
A. Use parentheses: (2 + 3) × 4.
Q. Should a beginner use the basic or scientific calculator first?
A. Use the basic calculator for short arithmetic. Use the scientific calculator when you want visible parentheses and clearer expression structure.
Try parentheses in the scientific calculator
Compare 2 + 3 × 4 and (2 + 3) × 4 directly so the role of parentheses becomes concrete.
Try parentheses in the scientific calculator