MATHS QUERY

# Magical Multiplication Pattern of 9

## Multiplication of 9 with 6s

When 9 is multiplied by 6, it gives an interesting number 121 which is in a special pattern of numbers having only repeated 9s having 5 at the leftmost and 4 at the right most of 9s.
Let’s have a look how this pattern works out.

$$9 \times 6= 54$$
$$9 \times 66 = 594$$
$$9 \times 666 = 5994$$
$$9 \times 6666 = 59994$$
$$9 \times 66666 = 599994$$
$$9 \times 666666 = 5999994$$
$$9 \times 6666666 = 59999994$$
$$9 \times 66666666 = 599999994$$
$$9 \times 666666666 = 5999999994$$

## Multiplication of 9 with with 111, 222 and so on

Multiplying 9 with 111, 222, 333, 444 and so on gives a very interesting pattern which is equal to 4 digits number with first digit is in series of 1, 2, 3, 4, 5, 6, 7, 8 and the last digit is in series of 8, 7, 6, 5, 4, 3, 2, 1. The second and third digits are always 9.
$$9 \times 111 = 999$$
$$9 \times 222 = 1998$$
$$9 \times 333 = 2997$$
$$9 \times 444 = 3996$$
$$9 \times 555 = 4995$$
$$9 \times 666 = 5994$$
$$9 \times 777 = 6993$$
$$9 \times 888 = 7992$$
$$9 \times 999 = 8991$$