Multi-digit Multiplication

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Presentation transcript:

Multi-digit Multiplication Demystified With Sticks and Carrots Lettuce Lattice

52  3

 tens units 5 2 52  3 3 place sticks and arrow cards according to the given numbers 5 0 2 3

52  3  5 2 3 15 6 5 0 2 3 1 0 0 5 0 6 15 6 tens units tens units 5 0 2 15 6 3 1 0 0 5 0 6 Note the types and number of intersections and make the number with arrow cards

 5 tens 2 units 3 15 6 52  3 5 0 2 3 1 0 0 5 0 6  5 tens 2 units 3 color the small lattice according to the big one 15 6

 5 tens 2 units 3 52  3 15 6 5 0 2 3 1 0 0 5 0 6  5 tens 2 units 3 draw the diagonals in small lattice 1 5 6

5 0 2  7 tens 9 units 8 3 1 0 0 5 0 6 1 5 6 1 hundred 5 tens 1 0 0 5 0 6 6 units = sum it up 6 50 100 + 156

79  8

 tens units 7 9 79  8 8 place sticks and arrow cards according to the given numbers 7 0 9 8

 7 tens 9 units 8 79  8 56 72 tens units units tens 7 0 9 56 72 8 5 0 0 6 0 7 0 2 Note the types and number of intersections and make the number with arrow cards

 7 tens 9 units 8 56 72 79  8 7 0 9 8 5 0 0 6 0 7 0 2  7 tens 9 units 8 color the small lattice according to the big one 56 72

 7 tens 9 units 8 79  8 56 72 7 0 9 8 5 0 0 6 0 7 0 2  7 tens 9 units 8 draw the diagonals in small lattice 5 6 7 2

7 0 9  7 tens 9 units 8 8 5 0 0 6 0 7 0 2 5 6 7 2 1 0 0 5 hundreds 13 tens 2 units 5 0 0 6 0 sum it up 2 7 0 130 500 + 1 0 0 6 0 0 3 0 6 0 0 3 0 2 632 =

4  26

 units tens 4 4  26 2 6 sticks and arrow cards 4 2 0 6

 4 units 2 tens 6 8 4  26 8 tens tens intersections 24 units units 4 24 2 0 8 0 6 2 0 4

 4 units 2 tens 8 6 24 4  26 4 2 0 8 0  4 units 2 tens 6 6 2 0 4 color the small lattice 8 24

 4 units 2 tens 6 4  26 8 4 24 2 0 8 0  4 units 2 tens 6 6 2 0 4 diagonals 8 2 4

4  4 units 2 tens 6 2 0 8 8 0 2 4 6 2 0 4 8 0 10 tens 4 units sum it up 2 0 4 100 + 1 0 0 1 0 0 4 104 =

84  67

 tens units hundreds 8 4 84  67 6 7 sticks and arrow cards 8 0 4 6 0 7

 8 tens 4 units 6 hundreds 7 hundreds 24 48 84  67 48 24 hundreds tens 56 28 tens intersections units tens units 8 0 4 56 28 6 0 4 0 0 0 8 0 0 2 0 0 4 0 7 5 0 0 6 0 2 0 8

 8 tens 4 units 6 48 hundreds 24 7 56 28  8 tens 4 units 6 hundreds 7 84  67 48 24 56 28 color the small lattice 8 0 4 6 0 4 0 0 0 8 0 0 2 0 0 4 0 7 5 0 0 6 0 2 0 8

 8 tens 4 units 6 hundreds 7  8 tens 4 units 6 7 84  67 48 24 4 8 2 4 56 28 diagonals 5 6 2 8 8 0 4 6 0 4 0 0 0 8 0 0 2 0 0 4 0 7 5 0 0 6 0 2 0 8

8 0 4  8 tens 4 units 6 7 6 0 4 0 0 0 8 0 0 2 0 0 4 0 4 8 2 4 5 6 2 8 7 5 0 0 6 0 2 0 8 4 thousands 1 0 0 5 0 0 6 0 15 hundreds 12 tens 8 units 8 1 0 0 0 8 0 0 2 0 sum it up 120 4 0 0 0 2 0 0 4 0 1500 + 4000 1 0 0 0 5 0 0 0 1 0 0 6 0 0 2 0 5 0 0 0 6 0 0 2 0 8 5628 =

825  379

825  379  hundreds tens units 8 2 5 3 7 9 sticks

ten-thousands 24 6 15 825  379 thousands hundreds  8 hundreds 2 tens 5 units 3 7 9 56 24 6 15 14 35 t-th th h tens 56 14 35 72 th h t 72 18 45 h t u 18 units 45 intersections

 8 hundreds 2 tens 5 units 3 24 t-th 6 th 15 h 7 56 14 35 t 9 72 18 45 u 825  379 arrow cards 8 0 0 2 0 5 3 0 0 2 0 0 0 0 0 4 0 0 0 0 6 0 0 0 1 0 0 0 5 0 0 7 0 5 0 0 0 0 6 0 0 0 1 0 0 0 4 0 0 3 0 0 5 0 9 7 0 0 0 2 0 0 1 0 0 8 0 4 0 5

8 0 0 2 0 5 3 0 0 2 0 0 0 0 0 4 0 0 0 0 6 0 0 0 1 0 0 0 5 0 0 7 0 5 0 0 0 0 6 0 0 0 1 0 0 0 4 0 0 3 0 0 5 0 9 7 0 0 0 2 0 0 1 0 0 8 0 4 0 5  8 hundreds 2 tens 5 units 3 t-th th h 7 t 9 u 825  379 24 6 15 56 14 35 color the small lattice 72 18 45

 8 hundreds 2 tens 5 units 3 t-th th h 7 t 9 u 825  379 24 6 15 56 14 35  8 hundreds 2 tens 5 units 3 t-th th h 7 t 9 u 72 18 45 2 4 6 1 5 5 6 1 4 3 5 diagonals 7 2 1 8 4 5

 8 hundreds 2 tens 5 units 3 t-th th h 7 t 9 u sum it up 2 4 6 1 5 5 170 5 6 1 4 3 5 1500 21000 2 lakhs 7 2 1 8 4 5 90000 + 200000 9 ten-thousands 312675 21 thousands 15 hundreds 17 tens 5 units

26859  3714

3  2 = 6 3  6 = 18 3  8 = 24 3  5 = 15 3  9 = 27 7  2 = 14 7  6 = 42 7  8 = 56 7  5 = 35 7  9 = 63 1  2 = 2 1  6 = 6 1  8 = 8 1  5 = 5 1  9 = 9 4  2 = 8 4  6 = 24 4  8 = 32 4  5 = 20 4  9 = 36  2 6 8 5 9 3 7 1 4 6 1 8 2 4 1 5 2 7 1 4 4 2 5 6 3 5 6 3 2 6 8 5 9 8 2 4 3 2 2 0 3 6

 2 6 8 5 9 3 1 8 2 4 1 5 2 7 7 1 4 4 2 5 6 3 5 6 3 1 4 3 2 2 0 3 6 sum it up 6 120 1200 diagonals 33000 320000 8 crore 1400000 18000000 18 ten-lakhs + 80000000 14 lakhs 32 ten- thousands 33 thousands 12 hundreds 12 tens 6 units 99754326