Q57. - Algebra 1

Question

Explain that the Distributive property is a property of multiplication, addition, or both.

Step-by-Step Solution

Answer

The distributive property is the property of both multiplication and addition.

Step 1. Given information.

The distributive property of multiplication over addition or subtraction is given in below.

$a\left(b+c\right)=ab+ac$

Here $a, b$ and $c$ are real numbers.

Step 2. Write the concept.

Distributive property to be used on any three numbers a,b and c such that

$a(b+c)=a\times b+a\times c$

Here $a, b$ and $c$ are real numbers.

That is, when the addition of two numbers is multiplied by any third number, this third number is distributed, using multiplication on both numbers to be added.

Step 3. Explain the property.

Using the above distributive formula, “a” is being multiplied with “c” as well as with b also and then both such multiplications are being added to expand the left side expression.