Question

Can you explain me how to do distributive property on multiplication over addtion and multiplication over subtraction

Answer 1

Distributive Property of Multiplication over Addition

The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2.

3(10 + 2) = ?

According to this property, you can add the numbers and then multiply by 3.
3(10 + 2) = 3(12) = 36. Or, you can first multiply each addend by the 3. (This is called distributing the 3.) Then, you can add the products.....
ie.3*10 + 3*2=30+6=36...




Distributive Property of Multiplication over Subtraction

The distributive property of multiplication over subtraction is like the distributive property of multiplication over addition. You can subtract the numbers and then multiply, or you can multiply and then subtract as shown below. This is called “distributing the multiplier.”

eg:5(6-3)
=5(3)=15
or
5*6 -5*3
30-15=15...