Times Tables and Digital Roots

Digital roots are just a bit of fun really. I don’t know of any practical use for them except to practise your times tables.

Think of a number. Let’s say 276. Add up the digits:  2 + 7 + 6 = 15

If the answer has more than one digit, add those up:     1 + 5 = 6.

Keep going until you have just one digit left. That is the digital root of the number you began with.

So, in our example, 6 is the digital root of 276.

Obviously if you begin with a number with just one digit, that is the digital root and you don’t have to do anything.

Just to make sure you know what I am talking about, prove to yourself that the digital root of 624 is 3.

I’m sure you understood that very easily. So here’s what to do:

Below you will see a table square, but this time all the numbers along the top and down the side are in the right order (not like the practice sheets).

Work out each multiplication and find the digital root of the answer. Put the answers in the times table below. Then look for patterns. What do you notice?