1X x 1X (tens digit is 1, units digit is 0-9)
Formulas :
First digits = 1
Second digits = __ + __
Third digits = __ x __
Example :
18 × 15
First digits = 1
Second digits = 8 + 5
= 13
Third digits = 8 × 5
= 40
So, 18 × 15 = 270
Formulas :
First digits = 1
Second digits = __ + __
Third digits = __ x __
Example :
18 × 15
First digits = 1
Second digits = 8 + 5
= 13
Third digits = 8 × 5
= 40
So, 18 × 15 = 270
Formulas :
First digits = 100 - [( 100 - 9__ ) + ( 100 - 9__ )]
Second digits = ( 100 - 9__ ) × (100 - 9__ )
Example :
97 × 96
First digits = 100 - [( 100 - 97 ) + ( 100 - 96 )]
= 100 - 7
= 93
Second digits = ( 100 - 97 ) × ( 100 - 96 )
= 12
So, 97 × 96 = 9312
35 × 122
35 = 1, 2, 4, 8, 16, 32, ...
122 = 122, 244, 488, 976, 1952, 3904, ...
35 = 1 + 2 + 32
So, 35 × 122 = 122 + 244 + 3904 = 4270
Formulas :
First digits = __ x __
Second digits = __ + __
Third digits = 1
Example :
31 × 51
First digits = 3 × 5
= 15
Second digits = 3 + 5
= 8
Third digits = 1
So, 31 × 51 = 1581
Formulas :
First 2 digits = [ __ x ( __ + 1)]
Last 2 digits = __2
Example :
952
First 2 digits = [9 × ( 9 + 1 )]
= (9 × 10)
= 90
Last 2 digits = 52
= 25
So, 952 = 9025
Formulas :
add 0 at the start and end of the number.
Example :
11 × 23125 = 0231250
Divide them to 2 in a group.
0 + 2 = 2
2 + 3 = 5
3 + 1 = 4
1 + 2 = 3
2 + 5 = 7
5 + 0 = 5
So, 11 × 23125 = 254375
Formulas :
add 0 at the start and end of the number.
Example :
13 × 326 = 03260
Divide them to 2 in a group.
( 3 + 0 ) + 3 = 3
( 3 + 3 ) + 2 = 11
( 3 + 2 ) + 6 = 12
( 3 + 6 ) + 0 = 18
So, 13 × 326 = 4238
Formulas :
( __ x __ )[( __ x __ ) + ( __ x __ )]( __ x __ )
Example :
51 × 63
( 5 × 6 )[( 5 × 3 ) + ( 1 × 6 )]( 1 × 3 )
(30)[( 15 + 6 )](3)
(30)(21)(3)
So, 51 × 63 = 3213
Formulas :
First 2 digits = [ __ x ( __ + 1)]
Last 2 digits = __ x __
Example :
93 × 97
First 2 digits = [9 × ( 9 + 1 )]
= 90
Last 2 digits = 3 × 7
= 21
So, 93 × 97 = 9021
Formulas :
First 2 digits = [( __ x __ ) + __ ]
Last 2 digits = __ x __
Example :
42 × 62
First 2 digits = [( 4 × 6 ) + 2]
= 26
Last 2 digits = 2 × 2
= 04
So, 42 × 62 = 2604