**MULTIPLICATION OF 9**

**Prefix 0 before multiplicand**

Step1

Step1

**Step2**Take last digit, subtract it from 10 and write it at the extreme right

**Step3**Take second last digit add one and subtract it from last digit write before step 1 figure

**Step4**Now move toward left take third last digit and subtract it from right neighbor

write before step 2 figure and repeat it up to first digit i.e 0

123456 x9 = ??

0123456x9 =

Here subtract 6 from 10 ( 10-6=4 ) write 4 at the extreme right ...............................................4

Take 5 add 1 (5+1 =6) and subtract it to last digit 6 and write before ..4,6-6=0 .....................04

Take 4 subtract it from 5 and write before ....04 5-4 =1 . ......................................................104

Subtract 3 from 4 and write before ...104 4-3 =1 ................................................................1104

Subtract 2 from 3 and write before ..1104 3-2 =1 .............................................................11104

Subtract 1 from 2 and write before..11104 2-1 =1...........................................................111104

Subtract 0 from 1 and write before.111104 1-0 =1 1111104

1111104 is our required answer

365 x9= ??

0365x9=

10-5 =5 ............5

6+1=7 subtract 7 from 5 , take carry from 6 now 5 become 15 ( 15- 7 =8 ) .......85

Now 6 become 5(adjust carry) subtract 3 from it 5-3 =2 ........285

3-0 =3 3285

3285 is our required answer

I think all of you understand this concept . It is a very useful tool ,with the help of this tool

now we learn multiplication of 36 ,.45 ,54. 63 . 72 ,81 and other multiple of 9

212x36 = ( 4x9)x212 = 9x(848) = 7632

212x45 = (90/2)x212 = 9x(2120/2) = 9x1060 = 9540

43x54 = (9x6)x43 = 9x(43x6) = 9x 258 =2322

63x58 = (9x7)x58 = 9x( 7x58) = 9x 406 = 3654

72x23 = (8x9)x23 = 9x(8x23) = 9x184 = 1656

81 x59 = (10-1)9 x59 = (590-59)x9 = 531x9 = 4779

**Practice Test**

2589 x9= 5897 x36 = 569x9=

256x45 = 987x63 = 177 x9=

458x54 = 458x9= 2597x72=