Operator precedence in MATLAB - Step-by-Step Execution

Concept Flow - Operator precedence

Start Expression

↓

Identify Operators

↓

Check Precedence Levels

↓

Evaluate Highest Precedence Operator

↓

Replace with Result

↓

More Operators?

Yes→Repeat Evaluation

No↓

Final Result

MATLAB evaluates expressions by first identifying operators, then applying them in order of precedence from highest to lowest until the expression is fully evaluated.

Execution Sample

MATLAB

a = 2 + 3 * 4;
disp(a);

Calculates 2 + 3 * 4 using operator precedence, showing multiplication before addition.

Execution Table

Step	Expression	Operator Evaluated	Operation	Result
1	2 + 3 * 4	*	3 * 4	12
2	2 + 12	+	2 + 12	14
3	14	None	Final Result	14

💡 No more operators left, expression fully evaluated.

Variable Tracker

Variable	Start	After Step 1	After Step 2	Final
a	undefined	undefined	undefined	14

Key Moments - 2 Insights

Why does multiplication happen before addition in the expression?

Because multiplication (*) has higher precedence than addition (+), MATLAB evaluates it first as shown in step 1 of the execution_table.

What if we want addition before multiplication?

Use parentheses to change precedence, e.g., (2 + 3) * 4, so MATLAB evaluates inside parentheses first.

Visual Quiz - 3 Questions

Look at the execution_table, what is the result after evaluating the multiplication operator?

A 12

B 14

C 20

D Undefined

💡 Hint

Check Step 1 in the execution_table where 3 * 4 is evaluated.

At which step does the addition operator get evaluated?

A Step 1

B Step 2

C Step 3

D Never

💡 Hint

Look at the execution_table row where '+' is the operator evaluated.

If the expression was changed to (2 + 3) * 4, what would be the final result?

A 14

B 20

C 24

D 10

💡 Hint

Parentheses change precedence; add 2 + 3 first, then multiply by 4.

Concept Snapshot

Operator precedence in MATLAB:
- Operators have priority levels.
- Multiplication (*) and division (/) evaluated before addition (+) and subtraction (-).
- Use parentheses () to override default precedence.
- Expression evaluated left to right respecting precedence.
- Example: 2 + 3 * 4 equals 14, not 20.

Full Transcript

In MATLAB, when you write an expression like 2 + 3 * 4, MATLAB first looks at the operators and their precedence. Multiplication (*) has higher precedence than addition (+), so MATLAB calculates 3 * 4 first, which is 12. Then it adds 2 to 12, resulting in 14. If you want to add first, you use parentheses like (2 + 3) * 4, which makes MATLAB add 2 and 3 first, then multiply by 4, giving 20. This shows how operator precedence controls the order of operations in MATLAB expressions.