1. What is the Distributive Property?

The distributive property is a fundamental property of numbers that states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products.

2. How Does the Calculator Work?

The calculator demonstrates the distributive property:

Where:

• \( a \) — First term
• \( b \) — Second term
• \( c \) — Multiplier

Explanation: The calculator shows both sides of the equation to demonstrate they produce identical results.

3. Importance of Distributive Property

Details: The distributive property is essential in algebra for simplifying expressions, solving equations, and performing mental math calculations efficiently.

4. Using the Calculator

Tips: Enter any numerical values for a, b, and c. The calculator will show both forms of the distributive property equation with your values.

5. Frequently Asked Questions (FAQ)

Q1: Does the distributive property work with subtraction?
A: Yes, the property works similarly: (a - b) × c = a×c - b×c.

Q2: Can the distributive property be used with division?
A: Division is only distributive when it's the right operand: (a + b)/c = a/c + b/c, but not a/(b + c).

Q3: Why is this property important in algebra?
A: It allows us to expand and factor expressions, which is fundamental for solving equations.

Q4: Does this work with variables as well as numbers?
A: Yes, the distributive property applies to algebraic expressions with variables.

Q5: What's the difference between distributive and commutative properties?
A: The commutative property (a×b = b×a) is about order, while distributive connects addition and multiplication.