Evaluate mathematical expressions step by step with correct PEMDAS/BODMAS order of operations including modulo (%). See each step, compare with left-to-right evaluation, and understand operator pre...
The Modulo & Order of Operations Calculator helps you evaluate mathematical expressions correctly by following PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) rules — with special attention to the modulo (%) operator, which trips up many students and programmers.
A common source of confusion is where modulo falls in the order of operations. The modulo operator has the same precedence as multiplication and division, meaning it is evaluated before addition and subtraction but after exponentiation. For example, in the expression "3 + 4 × 2 mod 5," the multiplication happens first (4 × 2 = 8), then modulo (8 mod 5 = 3), then addition (3 + 3 = 6).
This calculator lets you build a four-term expression (A op₁ B op₂ C op₃ D) using any mix of six operators: addition, subtraction, multiplication, division, modulo, and exponentiation. It evaluates the expression step by step, clearly showing which operation happens at each stage and why. It also computes a "left-to-right" result so you can see how ignoring precedence leads to wrong answers. Eight common presets demonstrate tricky cases involving modulo, powers, and mixed operators. The intermediate value bar chart provides a visual snapshot of how values change through each evaluation step.
Modulo & Order of Operations Calculator — PEMDAS with Mod helps you solve modulo & order of operations calculator — pemdas with mod problems quickly while keeping each step transparent. Instead of redoing long algebra by hand, you can enter Value A, Value B, Value C once and immediately inspect Expression, Result (PEMDAS), Left-to-Right (Wrong) to validate your work.
This is useful for homework checks, classroom examples, and practical what-if analysis. You keep the conceptual understanding while reducing arithmetic mistakes in multi-step calculations.
Precedence (highest to lowest): Exponents (^) → Multiplication/Division/Mod (×, ÷, %) → Addition/Subtraction (+, −). Same-precedence operators evaluate left to right. Mod: a mod b = a − b × floor(a/b).
Result: Expression shown by the calculator
Using the preset "3 + 4 × 2 mod 5", the calculator evaluates the modulo & order of operations calculator — pemdas with mod setup, applies the selected algebra rules, and reports Expression with supporting checks so you can verify each transformation.
This calculator takes Value A, Value B, Value C, Value D and applies the relevant modulo & order of operations calculator — pemdas with mod relationships from your chosen method. It returns both final and intermediate values so you can audit the process instead of treating it as a black box.
Start with the primary output, then use Expression, Result (PEMDAS), Left-to-Right (Wrong), Contains Modulo? to confirm signs, magnitude, and internal consistency. If anything looks off, change one input and compare the updated outputs to isolate the issue quickly.
A strong workflow is manual solve first, calculator verify second. Repeating that loop improves speed and accuracy because you learn to spot common setup errors before they cost points on multi-step algebra problems.
Modulo (%) has the same precedence as multiplication and division — level 2 in a 3-level system. It is evaluated before addition/subtraction but after exponentiation.
They are equivalent mnemonics for the same order of operations. PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) is used in the US; BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) is used in the UK.
This calculator uses the mathematical definition where the result always has the sign of the divisor (non-negative for positive divisor). For example, -7 mod 3 = 2, not -1.
Evaluating strictly left to right ignores operator precedence, so a lower-precedence operation (like +) gets evaluated before a higher-precedence one (like ×). This gives wrong answers in most cases.
This calculator evaluates A op B op C op D without explicit parentheses. The order of operations determines implicit grouping. For expressions with parentheses, evaluate the parenthesized sub-expression first.
Yes! Most programming languages (C, Java, Python, JavaScript) give modulo the same precedence as multiplication/division. Understanding this prevents subtle bugs in code.