What is a Distributive property of multiplication over addition definition and example
The distributive property of multiplication over addition states that when you multiply a number by the sum of two other numbers, you can get the same result by multiplying each addend separately and then adding the two products.
Mathematically, it can be expressed as:
a × (b + c) = (a × b) + (a × c)
Example:
Let's say a = 2, b = 3, and c = 4.
Using the distributive property, we have:
2 × (3 + 4) = (2 × 3) + (2 × 4)
2 × 7 = 6 + 8
14 = 14
So, the distributive property holds true in this example as both sides of the equation are equal.
The Distributive Property of multiplication over addition states that when multiplying a number by the sum of two or more numbers, you can multiply each number individually and then add the results. In other words, you can distribute the multiplication operation over the addition operation.
The general formula for the Distributive Property is:
a * (b + c) = (a * b) + (a * c)
where "a," "b," and "c" can be any real numbers.
Here's an example to illustrate the Distributive Property:
Let's say we have to calculate 3 multiplied by the sum of 4 and 5. Using the Distributive Property, we can write it as:
3 * (4 + 5) = (3 * 4) + (3 * 5)
Simplifying further, we get:
3 * (9) = 12 + 15
Now, performing the operations, we get the final result:
27 = 27
So, the sum of the product of 3 and the sum of 4 and 5 is equal to the sum of the products of 3 and 4, and 3 and 5, which is 27.