1. Initiating Multiplication
With
Units-Longs-Flats and more

2. 4  2

3. 4  2 4 8

4. 4  7

5. 4  7 4 8 12 16 20 24 28

6. 10  3

7. 10  3 10 20 30

8. 5  10

9. 5  10 10 20 30 40 50

10. 10  10

11. 10  10
100

12. Commutative

13. 5  3 vs 3  5

14. 5  3
3  5

15. Associative

16. 7  3  4

17. Number of plates: 7
Number of blocks in each plate: 3
Number of squares in each block: 4

18. How many squares in all plates?
How many squares in each plate?
7  (3  4)
3  4
No. of plates  no. of squares in each plate
How many squares in all plates?
How many blocks in all plates?
7  3
(7  3)  4
No. of blocks  no. of squares in each block

19. 2  60

20. Number of plates: 2
Number of blocks in each plate: 6
Number of squares in each block: 10
2  60
= 2  6  10

21. How many squares in all plates?
2  (6  10)
6  10
(2  6)  10
2  6
How many squares in each plate?
How many blocks in all plates?

22. 30  9

23. 30  9
= (3  10)  9 = (10  3)  9 by commutativity = 10  (3  9) by associativity = 10  27 = 270

24. Distributive

25. 4  (2 + 5)

26. 4  2 +
4  (2 + 5)
4  5

27. 4  (10 + 7)

28. 4  10 +
4  7
4  (10 + 7)

29. 52  3

30. 
tens
units 5 2
52  3 3
place longs-units and arrow cards according to the given numbers
5 0 2 3

31.  5
tens 2
units 3
52  3 15 6
Note the longs-units and make the numbers with arrow cards
tens
units 6 15
tens
units
5 0 2 3
5 0 6

32.  5
tens 2
units 3 15 6
52  3
5 0 2 3
5 0 6  5
tens 2
units 3
color the small lattice according to the big one 15 6

33.  5
tens 2
units 3
52  3 15 6
5 0 2 3
5 0 6  5
tens 2
units 3
draw the diagonals in small lattice 1 5 6

34. 5 0 2  5
tens 2
units 3 3
5 0 6 1 5 6
1 hundred 5
tens
5 0 6 6
units =
sum it up 6 50
100 +
156

35. 39  8

36. 
tens
units 3 9
39  8 8
place longs-units and arrow cards according to the given numbers
3 0 9 8

37.  3
tens 9
units 8
39  8
Note the longs-units and make the numbers with arrow cards 24 72
tens
units 72
units 24
tens
3 0 9 8
4 0
7 0 2

38.  3
tens 9
units 8 24 72
39  8
3 0 9 8
4 0
7 0 2  3
tens 9
units 8
color the small lattice according to the big one 24 72

39.  3
tens 9
units 8
39  8 24 72
3 0 9 8
4 0
7 0 2  3
tens 9
units 8
draw the diagonals in small lattice 2 4 7 2

40. 3 0 9  4
tens 9
units 8 8
4 0
7 0 2 2 4 7 2
2 hundreds
11 tens 2
units
4 0
sum it up 2
7 0
110
200 +
1 0
1 0 2
312 =

41. 4  26

42. place longs-units and arrow cards according to the given numbers
units
tens 4 2 6
4  26 4
2 0 6

43. Note the longs-units and make the numbers with arrow cards 4
units 2
tens 6 8
tens 24 8
tens
4  26
units 4
2 0
8 0 24
units 6
2 0 4

44.  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

45.  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

46. 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 + 4
104 =

47. 38  24

48. 
tens
units
hundreds 3 8 2 4
38  24
place longs-units according to the given numbers

49. 38  24  3 8 2 4 6 16 12 32 6 16 32 12 tens units hundreds hundreds
Note the flats-longs-units

50.  3
tens 8
units 2 6
hundreds 16 4 12 32  3
tens 8
units 2
hundreds 4
38  24 6 16 12 32
arrow cards
color the small lattice
3 0 8
2 0
6 0 4
2 0
3 0 2

51.  3
tens 8
units 2
hundreds 4  3
tens 8
units 2 4
38  24 6 16 6 1 6 12 32
diagonals 1 2 3 2
3 0 8
2 0
6 0 4
2 0
3 0 2

52. 3 0 8  3
tens 8
units 2 4
2 0
6 0 6 1 6 1 2 3 2 4
2 0
3 0 2
2 0 8
hundreds 11
tens 2
units 2
3 0
sum it up
110
6 0
800 +
912
1 0
1 0 2 =

53. 74  39