9 X 1 = 09
9 X 2 = 18
9 X 3 = 27
9 X 4 = 36
9 X 5 = 45
9 X 6 = 54
9 X 7 = 63
9 X 8 = 72
9 X 9 = 81
9 X 10 = 90
What's new in this??? Nothing as such… Right!!! But we will see some of the facts which we usually ignore.
Observation 1
Concentrate on ten’s places only. Can you see the magical pattern of numbers? This is just the counting from 0 to 9. Now, concentrate on unit’s places, this is reverse counting i.e., 9 to 0… Isn’t it?
Observation 2
The sum of digits at unit’s place and ten’s place is same i.e., 9.
Actually, if you will multiply any number with 9, the sum of digits will be either 9 or multiple of 9 and similarly when you will get the sum of digits of multiples of 9, this will again result in 9 so final result recursively will be 9 only.
A small example:
9X7=63 and 6+3=9
8913X9=80217 and 8+0+2+1+7=18 and 1+8=9
You can test this fact by multiplying any number combination by 9.
Methodology to remember the Table of 9:
A very simple methodology where you need not to cram / remember the table but to use your hands and count the fingers… Looks foolish… But it works…
Spread your arms and open your hands in such a way that your eyes are not facing the palms but the back of palms. So you will be able to see 4 fingers of left hand, then thumb of left hand, then thumb of right hand and then 4 fingers of right hand.
Now, if we have to calculate 9X4,
Step 1: Count 4 from the left. It points to the fore finger of left hand.
Step 2: Hide the fore-finger.
Step 3: Now count the fingers to the left of hidden finger i.e., 3
Step 4: Also, count the fingers to the right of hidden finger i.e., 6
Yesss!!! We got the answer… 36.
Try it again for any other combination in the Table of 9.
9 X 2 = 18
9 X 3 = 27
9 X 4 = 36
9 X 5 = 45
9 X 6 = 54
9 X 7 = 63
9 X 8 = 72
9 X 9 = 81
9 X 10 = 90
What's new in this??? Nothing as such… Right!!! But we will see some of the facts which we usually ignore.
Observation 1
Concentrate on ten’s places only. Can you see the magical pattern of numbers? This is just the counting from 0 to 9. Now, concentrate on unit’s places, this is reverse counting i.e., 9 to 0… Isn’t it?
Observation 2
The sum of digits at unit’s place and ten’s place is same i.e., 9.
Actually, if you will multiply any number with 9, the sum of digits will be either 9 or multiple of 9 and similarly when you will get the sum of digits of multiples of 9, this will again result in 9 so final result recursively will be 9 only.
A small example:
9X7=63 and 6+3=9
8913X9=80217 and 8+0+2+1+7=18 and 1+8=9
You can test this fact by multiplying any number combination by 9.
Methodology to remember the Table of 9:
A very simple methodology where you need not to cram / remember the table but to use your hands and count the fingers… Looks foolish… But it works…
Spread your arms and open your hands in such a way that your eyes are not facing the palms but the back of palms. So you will be able to see 4 fingers of left hand, then thumb of left hand, then thumb of right hand and then 4 fingers of right hand.
Now, if we have to calculate 9X4,
Step 1: Count 4 from the left. It points to the fore finger of left hand.
Step 2: Hide the fore-finger.
Step 3: Now count the fingers to the left of hidden finger i.e., 3
Step 4: Also, count the fingers to the right of hidden finger i.e., 6
Yesss!!! We got the answer… 36.
Try it again for any other combination in the Table of 9.
