multiplication the complement method
DESCRIPTION
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CoffeeMath:Methods, Tips And Tricks Series.
Complement Method
The 10 complement of 1 is 9 because 1 + 9 = 10
Foreword ( I )
The 10 complement of 2 is 8 because 2 + 8 = 10 The 10 complement of 3 is 7 because 3 + 7 = 10 The 10 complement of 4 is 6 because 4 + 6 = 10 The 10 complement of 5 is 5 because 5 + 5 = 10 The 10 complement of 6 is 4 because 6 + 4 = 10 The 10 complement of 7 is 3 because 7 + 3 = 10 The 10 complement of 8 is 2 because 8 + 2 = 10 The 10 complement of 9 is 1 because 9 + 1 = 10
We can write in these ways
19
28
73
37
46
82
91
55
64
Foreword ( II )
567
1. We must able to differentiate place value and digit value
2. We must able to synthesize number to it’s digit value
Example:- Place value of 7 is ones but digit value of 7 is 7
Place value of 6 is tens but digit value of 6 is 60
Place value of 5 is hundreds but digit value of 5 is 500
567 = 500 + 60 + 7
Example:-
3028 = 3000 + 000 + 20 + 8
567 X 8 = ( 500 x 8 ) + (60 x 8 ) + ( 7 x 8 )
Further:-
3028 X 52 = ( 3000 x 52 ) + ( 20 x 52 ) + ( 8 x 52 )
X 73
82
X 78
i) 8 + 2 = 10, the complement of 8 is 2 7 + 3 = 10, the complement of 7 is 3
ii) 8 - 3 = 5 or 7 - 2 = 5
iii) 2 X 3 = 65 6
INTRODUCTION
9 6 X 8
Example 1 :
9 6 X 8
9 6 X 81 24
Example 1 :
9 6 X 8
9 6 X 81 24
2 X 1 = 022 X 4 = 08
Example 1 :
028
9 6 X 8
9 6 X 81 24
80 2 2 X 1 = 022 X 4 = 08
Example 1 :
028
9 6 X 8
9 6 X 81 24
80 2 2 X 1 = 022 X 4 = 08
+0
Example 1 :
028+0
Append;
9 6 X 8
+4
9 6 X 81 24
80 2
8 – 4 = +4
2 X 1 = 022 X 4 = 08
+0
Example 1 :
028+0
Append;
9 6 X 8
+4
+7
9 6 X 81 24
80 2
8 – 1 = +7
8 – 4 = +4
2 X 1 = 022 X 4 = 08
+0
Example 1 :
028+0
Append;
9 6 X 8
+4
+7
9 6 X 81 24
80 2
8 – 1 = +7
8 – 4 = +4
2 X 1 = 022 X 4 = 08
7 6 8
+ +0
Example 1 :
028+0
Append;
9 6 X 8
Example 2 :
9 6 X 8
9 6 7 X 84 231
Example 2 :
9 6 X 8
9 6 7 X 84 23
0 2 8 6 2 X 4 = 282X 3 = 06
1
2 X 1 = 02
Example 2 :
9 6 X 8
+5
+4
9 6 7 X 84 23
0 2 8 6
8 – 4 = +48 – 3 = +5
2 X 4 = 282X 3 = 06
+0
1
2 X 1 = 02
8 – 1 = +7
+7
Example 2 :
9 6 X 8
+5
+4
9 6 7 X 84 23
0 2 8 6
8 – 4 = +48 – 3 = +5
2 X 4 = 282X 3 = 06
7 7 3 6
++0
1
2 X 1 = 02
8 – 1 = +7
+7
Example 2 :
3 6 X 6
Example 3 :
3 6 X 6
3 6 X 67 44
Example 3 :
3 6 X 6
3 6 X 67 44
62 94 X 7 = 284X 4 = 16
Example 3 :
3 6 X 6
+2
-1
3 6 X 67 44
62 9
6 – 7 = -1
6 – 4 = +2
4 X 7 = 284X 4 = 16
+0
Example 3 :
3 6 X 6
+2
-1
3 6 X 67 44
62 9
6 – 7 = -1
6 – 4 = +2
4 X 7 = 284X 4 = 16
2 1 6
++0
Example 3 :
Example 4 :
9 6 1 X 7
9 6 1 X 74 391
Example 4 :
9 6 1 X 7
9 6 1 X 74 39
0 4 4 7 3 X 4 = 123X 9 = 27
1
3 X 1 = 03
Example 4 :
9 6 1 X 7
-2
+3
9 6 1 X 74 39
0 4 4 7
7 – 4 = +37 – 9 = -2
3 X 4 = 123X 9 = 27
+0
1
3 X 1 = 03
7 – 1 = +6
+6
Example 4 :
9 6 1 X 7
-2
+3
9 6 1 X 74 39
0 4 4 7
7 – 4 = +37 – 9 = -2
3 X 4 = 123X 9 = 27
+0
1
3 X 1 = 03
7 – 1 = +6
+6
6 7 2 7
Example 4 :
9 6 1 X 7
+
Example 5 :
9 3 1 X 6
9 3 1 X 67 491
Example 5 :
9 3 1 X 6
9 3 1 X 67 49
0 7 1 6 4 X 7 = 284X 9 = 36
1
4 X 1 = 04
Example 5 :
9 3 1 X 6
-3
-1
9 3 1 X 67 49
0 7 1 6
6 – 7 = -16 – 9 = -3
4 X 7 = 284X 9 = 36
+0
1
4 X 1 = 04
6 – 1 = +5
+5
Example 5 :
9 3 1 X 6
-3
-1
9 3 1 X 67 49
0 7 1 6
6 – 7 = -16 – 9 = -3
4 X 7 = 284X 9 = 36
5 5 8 6
+0
1
4 X 1 = 04
6 – 1 = +5
+5
Example 5 :
9 3 1 X 6
+
Example 6 :
4 3 2 X 5
4 3 2 X 57 586
Example 6 :
4 3 2 X 5
4 3 2 X 57 58
3 3 9 0 5 X 7 = 355X 8 = 40
6
5 X 6 = 30
Example 6 :
4 3 2 X 5
-3
-2
4 3 2 X 57 58
3 3 9 0
5 – 7 = -25 – 8 = -3
5 X 7 = 355X 8 = 40
+0
6
5 X 6 = 30
5 – 6 = -1
-1
Example 6 :
4 3 2 X 5
-3
-2
4 3 2 X 57 58
3 3 9 0
5 – 7 = -25 – 8 = -3
5 X 7 = 355X 8 = 40
2 1 6 0
+0
6
5 X 6 = 30
5 – 6 = -1
-1+
Example 6 :
4 3 2 X 5
I never say that this method is faster and safer but I strongly
think that this method enrich our field.
GOOD LUCK !
End Show