Multidigit Multiplication Demystified With Sticks and Carrots Lettuce

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Multi-digit Multiplication Demystified With Sticks and Carrots Lettuce Lattice

Multi-digit Multiplication Demystified With Sticks and Carrots Lettuce Lattice

52 3

52 3

 52 3 5 tens 2 units 3 units place sticks and arrow cards

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

 52 3 3 units tens 15 5 2 tens units 15 6 tens

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

 5 2 tens units 3 15 6 units tens units 3 52 3

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

 3 units 5 2 tens units 15 6 tens 52 3 units 3

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

5 0 3 1 0 5 0 2 6 8 units 1 sum it

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

79 8

79 8

 79 8 7 tens 9 units 8 units place sticks and arrow cards

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

 79 8 8 units tens 56 7 9 tens units 56 72 tens

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

 7 9 tens units 8 56 72 units tens units 8 79 8

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

 8 units 7 9 tens units 56 72 tens 79 8 units 8

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

9 7 2 0 8 7 0 8 5 0 6 0 1 0

9 7 2 0 8 7 0 8 5 0 6 0 1 0 0 units 5 hundreds sum it up 5 60 00 9 tens units 5 6 7 2 tens 13 tens units 2 units 7 0 16 0 30 00 7 = 6 0 3 0 2 2 130 + 500 632

4 26

4 26

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

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

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

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

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

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

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

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

2 0 6 4 8 0 2 units 2 4 0 10 8 0

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

84 67

84 67

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

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

hundreds 24 48 tens 56 84 67 intersections units 6 8 4 tens units

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

 8 4 tens units 6 48 24 tens hundreds tens 7 56 28

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

 6 tens 7 units 8 4 tens units 48 24 hundreds 56 tens

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

8 0 6 0 7 sum it up 4 0 8 0 0 5

8 0 6 0 7 sum it up 4 0 8 0 0 5 0 6 0 4 2 0 4 0 6 tens 7 8 4 tens units 4 8 2 4 5 6 2 8 0 4 units 1 0 0 thousands 15 12 5 60 00 8 hundreds tens 8 1 80 200 000 units 120 1500 4 20 400 000 + 4000 60 0 200 000 = 5 0 6 0 2 0 8 5628 15 10

825 379

825 379

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

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

ten-thousands 24 56 thousands 825 379 15 6 hundreds 14 35 tens 72 18

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

 8 2 5 hundreds tens units 3 24 6 15 hundreds t-th th

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

8 0 0 2 0 5 3 0 0 2 0 4 0 0

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

 8 2 5 hundreds tens units 3 24 6 15 hundreds t-th th

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

 sum it up 5 170 1500 21000 90000 + 200000 312675 8 2

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

26859 3714

26859 3714

3 2 = 6 3 6 = 183 8 = 243 5 = 153

3 2 = 6 3 6 = 183 8 = 243 5 = 153 9 = 27 7 2 = 147 6 = 427 8 = 567 5 = 357 9 = 63 1 2=2 1 6=6 1 8=8 1 5=5 1 9=9 4 2 = 8 4 6 = 244 8 = 324 5 = 204 9 = 36 2 6 8 5 9 6 1 8 2 4 1 5 2 7 3 7 1 4 4 2 5 6 3 2 6 8 5 9 1 4 8 2 4 3 2 2 0 3 6

 3 7 1 4 sum it up 6 1200 diagonals 33000 320000 1400000

3 7 1 4 sum it up 6 1200 diagonals 33000 320000 1400000 18000000 + 80000000 99754326 8 crore 2 6 8 61 82 1 44 25 2 6 82 43 5 9 41 52 63 56 8 5 22 03 18 tenlakhs 14 lakhs 32 33 12 thousands hundreds tenthousands 12 6 tens units 7 3 9 6