⚖️ Distributive Property Calculator
Verify the distributive property of multiplication over addition
a × (b + c) = (a × b) + (a × c)
How to Use This Calculator
Enter Three Numbers
Input values for a, b, and c to test the distributive property.
Click Verify
Press the button to compare both sides of the distributive equation.
See Results
View both calculations and confirm the property is verified.
Formula
a × (b + c) = (a × b) + (a × c)
Also: a × (b - c) = (a × b) - (a × c)
Example 1: 3 × (4 + 5)
Left: 3 × (4 + 5) = 3 × 9 = 27
Right: (3 × 4) + (3 × 5) = 12 + 15 = 27
27 = 27 ✓
Example 2: 2 × (7 - 3)
Left: 2 × (7 - 3) = 2 × 4 = 8
Right: (2 × 7) - (2 × 3) = 14 - 6 = 8
8 = 8 ✓
About Distributive Property Calculator
The Distributive Property Calculator verifies that multiplication distributes over addition (and subtraction). This fundamental property is always true for all real numbers.
When to Use This Calculator
- Learning Math: Understand the distributive property
- Verification: Check algebraic expansions
- Education: Teach fundamental math properties
- Problem Solving: Simplify expressions using distribution
Why Use Our Calculator?
- ✅ Instant Verification: Check both sides instantly
- ✅ Clear Display: Side-by-side calculations
- ✅ Educational: Learn distribution
- ✅ Works with Any Numbers: Positive, negative, decimals
- ✅ Completely Free: No registration required
Understanding Distribution
The distributive property lets you multiply a number across terms inside parentheses.
- Over Addition: a(b+c) = ab + ac
- Over Subtraction: a(b-c) = ab - ac
- Always True: Works for all real numbers
Frequently Asked Questions
What is the distributive property?
The property that multiplication distributes over addition: a(b+c) = ab + ac. It means you can "distribute" multiplication across terms.
Does subtraction work the same way?
Yes! Distribution works over subtraction too: a(b-c) = ab - ac.
Can I use negative numbers?
Yes! The distributive property works with any real numbers, including negatives and decimals.