The distributive property in mathematics states that multiplying the sum of two or more numbers will have the same results as multiplying the individual addends and finding the sum. The distributive property applies to Subtraction and addition. Let’s look at distributive property in detail.

## what is distributive property?

Distributive property in math states that multiplying the sum or difference of two or more numbers will have the same results as multiplying the individual addends or subtrahend and the minuend and finding the sum or the difference together.

## Distribution of multiplication over addition

The distribution of multiplication over addition states that multiplying the sum of two or more numbers has the same results as multiplying the individual addends and finding the sum. For example, if A, B, and C are three given rational numbers, then A(B+C)=AB+AC. Let’s look at some examples of the distribution of multiplication over addition

Example 1: Simplify the expression 4(5+7)=4×5+4×7 using the distributive property of multiplication over addition.

Solution: 4(5+7)=4×5+4×7

4(12)=20+28

48=48

## Distributive property of multiplication over Subtraction

The distributive property of multiplication over Subtraction states that multiplying the difference of two or more numbers has the same results as multiplying the subtrahend and the minuend and then finding their difference. For instance, if A, B, and C are three rational numbers, then the distributive property of multiplication over Subtraction is A(B-C) = AB-AC. Let’s look at some examples of the distributive property of multiplication over Subtraction.

Example: simplify the expression 5(8-4)=5×8-5×4 using the distributive property of multiplication over Subtraction.

solution : 5(8-4)=5×8-5×4

40-20=40-20

20=20