Enter a, b, and c below:

<-- Enter (a)
<-- Enter (b)
<-- Enter (c)

Given a = 2, b = 8, and c = 7:

Prove the Distributive Property

Distributive Property Definition:

a(b + c) = a(b) + a(c)

We read this three ways:

  1. The sum of a and b times c
  2. a times b plus c
  3. The product of a times b plus c

Plug in a = 2, b = 8, c = 7:

2(8 + 7) = 2(8) + 2(7)

We read this two ways:

  1. 8 and 7 times 2
  2. 2 times 8 plus 7

Simplifying, we get:

2(15) = 16 + 14

30 = 30


You have 2 free calculationss remaining



What is the Answer?
30 = 30
How does the Distributive Property Calculator work?
Free Distributive Property Calculator - Demonstrates the distributive property using 3 numbers. Numerical Properties
This calculator has 3 inputs.

What 1 formula is used for the Distributive Property Calculator?

a(b + c) = a(b) + a(c)

For more math formulas, check out our Formula Dossier

What 6 concepts are covered in the Distributive Property Calculator?

distribute
distributive property
number
an arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.
product
The answer when two or more values are multiplied together
property
an attribute, quality, or characteristic of something
sum
the total amount resulting from the addition of two or more numbers, amounts, or items
Example calculations for the Distributive Property Calculator
  1. 3(4 + 5)
  2. (8(3 + 7)

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