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Page 1: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Adding

Page 2: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

1 5 6

+ 2 3 2

3 0 0 1 0 0 + 200

5 0 + 3 08 0

6 + 28

3 8 8

Adding by Partitioning Vertically

Page 3: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

2 3 7 8

+ 1 1 4 9

3 0 0 0

4 0 0

1 1 0

3 5 2 7

1 7

2 3 7 8

+ 1 1 4 9

7

1

2

1

53

Partitioning Vertically

Formal WrittenMethod

Page 4: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

4 5 7 8

+ 2 3 4 9

6 0 0 0

8 0 0

1 1 0

6 9 2 7

1 7

4 5 7 8

+ 2 3 4 9

7

1

2

1

96

Partitioning Vertically

Formal WrittenMethod

Page 5: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

4 6 8 7

+ 5 7 4 9

9 0 0 0

1 3 0 0

1 2 0

1 0 4 3 6

1 6

4 6 8 7

+ 5 7 4 9

6

1

3

1

Partitioning Vertically

Formal WrittenMethod

4

1

1 0

Page 6: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Subtracting

Page 7: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Subtraction by adding on.

502 - 198

198

+2

200 500

+300

502

+2

= 304

502- 198

2 (to 200)

300 (to 500)

(to 502)2

304

Page 8: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Subtraction by adding on.

613 - 279

279

+1

280 300

+20

600

+300

= 334

613- 279

1 (to 280)20 (to 300)

(to 600)300

334

+13

613

13 (to 613)

Page 9: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Subtraction by adding on.

846 - 458

458

+42

500 800

+300

846

+46

= 388

846- 458

42 (to 500)300 (to 800)

(to 846)46

388

Page 10: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Subtraction by adding on.

2645 - 898

898

+2

900 1000

+100

2000

+1000

= 1746

2645- 898

2 (to 900)100 (to 1000)

(to 2000)1000

1746

+645

2645

645 (to 2645)

Page 11: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Subtraction by adding on.

3567 - 742

742

+58

800 1000

+200

3000

+2000

= 2825

3567- 742

58 (to 800)200 (to 1000)

(to 3000)2000

2825

+567

3567

567 (to 3567)

Page 12: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Subtraction by adding on.

3879 - 1352

1352

+48

1400 2000

+600

3000

+1000

= 2525

3879- 1352

48 (to 1400)600 (to 2000)

(to 3000)1000

+879

3879

879 (to 3879)5

1

2

1

5

1

2

Page 13: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Subtraction by adding on.

6457 - 2469

2469

+31

2500 3000

+500

6000

+3000

= 3988

6457- 2469

31 (to 2500)500 (to 3000)

(to 6000)3000

+457

6457

457 (to 6457)8

8

9

3

Page 14: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Subtraction by adding on.

5021 - 1989

1989

+1

1990 2000

+10

3000

+1000

4000

+1000

5000

+1000

= 3032

3000 30 2

Th H T U

+20

5020

+1

5021

Page 15: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Subtraction by adding on vertically

6008- 2997

3 (3000)

3000 (6000)

(6008)8

3011

Page 16: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Subtraction by adding on vertically

5003- 1989

11 (2000)

3000 (5000)

(6008)3

3014

Page 17: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

5 2 3 9- 1 5 6 7

3 (1570)

3 0 (1600)

(2000) 4 0 0

3 2 3 9 (5239)

3

1

563

Page 18: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

5 2 3 9- 1 5 6 7

2

11

7

4 1

63

Page 19: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Adding Decimals

Page 20: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

6 5 . 4

+ 3 9 . 3

. 7

1 4 . 0

9 0 . 0

1 0 4 . 7

6 5 . 4

+ 3 9 . 3

74

1

.1 0

Partitioning Vertically

Formal WrittenMethod

Page 21: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

2 8 . 7

+ 3 9 . 3

1 . 0

1 7 . 0

5 0 . 0

6 8 . 0

2 8 . 7

+ 3 9 . 3

8

1

.5

Partitioning Vertically

Formal WrittenMethod

0

1

Page 22: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

2 8 . 7

+ 4 7 . 8

1 . 5

1 5 . 0

6 0 . 0

7 6 . 5

2 8 . 7

+ 4 7 . 8

6

1

.7

Partitioning Vertically

Formal WrittenMethod

5

1

Page 23: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

2 8 . 7

+

4 7 . 8

Partitioning Vertically

5 3 . 6

2 . 1

1 8 . 0

1 1 0 . 0

1.0

1

3

1

Formal WrittenMethod

2 8 . 7

+

4 7 . 8

5 3 . 6

. 1 2

0 2

1 3

Page 24: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

3.12

+ 2.32

.04

.40

5.00

5.44

Adding by Partitioning Vertically

Page 25: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

5 . 9 1

+ 1 . 8 6

. 0 7

1 . 7 0

6 . 0 0

7 . 7 7

5 . 9 1

+ 1 . 8 6

77

1

.7

Partitioning Vertically

Formal WrittenMethod

Page 26: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

4 . 3 7

+ 2 . 5 6

. 2 2

1 . 6 0

9 . 0 0

1 0 . 8 2

4 . 3 7

+ 2 . 5 6

2

2

.1 0

Partitioning Vertically

Formal WrittenMethod

3 . 8 9

3 . 8 9

8

1

Page 27: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Subtracting Decimals

Page 28: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

Decimals

Page 29: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically
Page 30: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Subtraction by adding on.

24.3 - 7.9

7.9

+0.1

8.0 10.0

+2.0

20.0

+10.0

= 16.4

24.3- 7.9

0.1 (to 8.0)2.0 (to 10.0)

(to 20.0)10.0

.4

+4.3

24.3

4.3 (to 24.3)

61

Page 31: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Subtraction by adding on.

36.8 - 8.7

8.7

+0.3

9.0 10.0

+1.0

30.0

+20.0

= 28.1

36.8 - 8.7

0.3 (to 9.0)1.0 (to 10.0)

(to 30.0)20.0

+6.8

36.8

6.8 (to 36.8)

.1

1

8

2

Page 32: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Subtraction by adding on.

42.8 - 19.3

19.3

+0.7

20.0 30.0

+10.0

40.0

+10.0

= 23.5

42.8 - 19.3

0.7 (to 20.0)10.0 (to 30.0)

(to 40.0)10.0

+2.8

42.8

2.8 (to 42.8)

.5

1

3

2

Page 33: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Subtraction by adding on.

56.9 - 23.6

23.6

+0.4

24.0 30.0

+6.0

50.0

+20.0

= 33.3

56.9 - 23.6

0.4 (to 24.0)6.0 (to 30.0)

(to 50.0)20.0

+6.9

56.9

6.9 (to 56.9)

.3

1

3

3

1

Page 34: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

Decimals

Page 35: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Subtraction by adding on.

£7.85 - £3.49

3.49

+0.51

4.0 7.0

+3.0

7.85

+0.85

= £4.36

£7.85- £3.49

0.51 (to £4.00)3.00 (to £7.00)

(to £7.85)0.85

6

£4

.3

1

Page 36: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Subtraction by adding on.

£9.63 - £5.28

5.28

+0.72

6.0 9.0

+3.0

9.63

+0.63

= £4.35

£9.63- £5.28

0.72 (to £6.00)3.00 (to £9.00)

(to £9.63)0.63

5

£4

.3

1

Page 37: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Subtraction by adding on.

£12.51 - £7.83

7.83

+0.17

8.0 12.0

+4.0

12.51

+0.51

= £4.68

£12.51- £7.83

0.17 (to £8.00)4.00 (to £12.00)

(to £12.51)0.51

8

£4

.6

Page 38: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Subtraction by adding on.

£23.94 - £17.62

17.62

+0.38

18.0 20.0

+2.0

23.0

+3.0

= £6.32

£23.94 - £17.62

0.38 (to £18.0)2.00 (to £20.0)

(to £23.0)3.00

+0.94

23.94

0.94 (to £23.94)

2

1

£6

.3

1

Page 39: Adding. 1 5 6 +2 3 2 3 0 01 0 0 + 200 5 0 + 3 08 0 6 + 28 3 8 8 Adding by Partitioning Vertically

Subtraction by adding on.

£35.12 - £27.59

27.59

+0.41

28.0 30.0

+2.0

35.0

+5.0

= £7.53

£35.12 - £27.59

0.41 (to £28.00)2.00 (to £30.00)

(to £35.00)5.00

+0.12

23.94

0.12 (to £35.12)

3

£7

.5


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