#### To distribute something means to: divide something, give a share, or a part of something. The distributive property says, The answer to the multiplication of two or more addends sum with any number will be the same when we multiply addends separately by any number and then add the value with each other. Let's see the example below how answers remain the same mathematically with or without distributive property. ( 5 + 7 + 3 ) × 4, 15 × 4, 60, OR, ( 5 + 7 + 3 ) × 4, 5 × 4 + 7 × 4 + 3 × 4, 60. We can simplify complicated problems by distributive property. We use the distributive property to write the value again. We will distribute a factor as a sum or difference of two numbers. For example, you can simplify 8 × 27 by splitting 27 into 20 + 7. The distributive property of multiplication over addition: 8 × ( 20 + 7 ), 8 × 20 + 8 × 7. The distributive property of multiplication over subtraction: 8 × ( 30 – 3 ), 8 × 30 – 8 × 3, 240 - 4 = 216.

The distributive property applies to multiplication operations. It allows you break a large problem into smaller pieces. Did you ever have to carry a large number of items that all fit in a single bag? Would it not be helpful if you could split those contents over two bags? Using two bags is exactly what this property does for us when we are solving problems. The concept of the distributive property displays the balance in math and that of the equals sign. You can do what ever you want in math as long as you do the same to each side of the equals sign.