# What is Distributive Law?

Distributive Law in Maths states that multiplying a group of large 2 or 3-digit numbers will create the same value as those numbers being partitioned, multiplied, and added together.

Some examples are:

50 x 8 = 400

It is the same as (5 x 8) + (1 x 10). For this question, we have distributed or separated the 50 into two units: 5 and 10. Then all we need to do is multiply the 5 x 8, which equals 40. By multiplying this by 10, we get 400!

With Distributive Law, we could also work out the following sums

49 x 6

(40 x 6) + (9 x 6) = 240 + 54 = 294

89 x 8

(80 x 8) + (9 x 8) = 640 + 72 = 712

48 x 9

(40 x 9) + (8 x 9) = 360 + 72 = 432

64 x 6

(60 x 6) + (4 x 6) = 360 + (4 x6) = 360 + 24 = 384

35 x 8

(30 x 8) + (5 x 8) = 240 + 40 = 280

41 x 6

(40 x 6) + (1 x 6) = 240 + 6 = 246

356 x 7

(300 x 7) + (50 x 7) + (6 x 7) = 2100 + 350 + 42 = 2492

Why is Distributive Law in Maths useful for children’s learning?

It allows us to break down large, often complex sums into smaller ones which are easier to understand and find answers for.

Children can practice problem-solving skills when presented with a problematic multiplication question. They must break down the numbers into smaller, more digestible digits before multiplying and adding them back together. It’s a logical process that provides satisfying answers when done correctly.

As well as multiplication, this topic asks for basic addition skills and an understanding of single units up to three, four, or even five-digit figures. As such, it can strengthen children’s mental arithmetic skills.

One firmly understood that Distributive Law in Maths enables children to answer complex Math questions without a calculator. As long as times tables are remembered, you should be fine! In the long run, this could be great for children’s confidence in Maths lessons. They’ll feel prepared for the next test in no time!

Outside the classroom, multiplication and addition are functional Maths skills for everyday life. They enable us to be pragmatic about a common problem and resolve it. From increasing quantities for a recipe to understanding the dimensions of a room, you might need to use Distributive Law in Maths when you least expect it!