➕ Math Operations Calculator

Add, Subtract, Multiply & Divide with Steps

🔢 All Operations

Basic arithmetic: addition, subtraction, multiplication, division

📝 Step-by-Step

Detailed solutions showing calculation process

⚡ Real-Time

Instant results as you type numbers

🧮 Math Calculator

Choose Operation:

First Number:

Second Number:

Result:

📚 Math Properties & Rules

➕ Addition Properties

Commutative: a + b = b + a
Example: 3 + 5 = 5 + 3 = 8

Associative: (a + b) + c = a + (b + c)
Example: (2 + 3) + 4 = 2 + (3 + 4) = 9

Identity: a + 0 = a
Example: 7 + 0 = 7

✖️ Multiplication Properties

Commutative: a × b = b × a
Example: 4 × 5 = 5 × 4 = 20

Associative: (a × b) × c = a × (b × c)
Example: (2 × 3) × 4 = 2 × (3 × 4) = 24

Identity: a × 1 = a
Example: 9 × 1 = 9

➖ Subtraction Rules

Basic: a - b = a + (-b)
Example: 10 - 3 = 10 + (-3) = 7

Order Matters: a - b ≠ b - a
Example: 8 - 5 = 3, but 5 - 8 = -3

Identity: a - 0 = a
Example: 12 - 0 = 12

➗ Division Rules

Basic: a ÷ b = a × (1/b)
Example: 12 ÷ 4 = 12 × (1/4) = 3

Order Matters: a ÷ b ≠ b ÷ a
Example: 20 ÷ 4 = 5, but 4 ÷ 20 = 0.2

Identity: a ÷ 1 = a
Example: 15 ÷ 1 = 15