1. 1 hectogram = 100 _____
2. 1 kilolitre = 100 _____
3. 4556 g = _____ kg and _____ g
4. 40009 ml = _____ l and _____ ml
5. 14 cm 1 mm + 40 cm 5 mm = _____ cm _____ mm
6. 200 km 600 m − 109 km 82 m = _____

• Decimal form of Metric Measures
• Addition and subtraction of Metric Measures
• Temperature(conversion)

Metric measures are written in tens in the metric system, so it is easy to express them in the decimal system.

Here are the steps to convert metric measures to decimal fractions.

Length

Metre and centimetre to metre

We know that, 100 cm = 1 metre

Example 1:

Kilometres and metres to kilometres

We know that, 1000 m = 1 km

Example 2:

5 km 530 m = 5 km + 0.530 km = 5.530 km

16 km 83 m = 16 km + 0.083 km = 16.083 km

Weight

We know that, 1000 gram = 1 kilogram

Example 3:

8 kg 45 g =8 kg + 0.045 kg = 8.045 kg

Capacity

We know that, 1000 millilitre = 1 litre

Example 4:

2l 35 ml = 2 l + 0.035 l = 2.035 l

14l 999 ml = 14.999 l

A. Use decimal fractions to write in metre.

8 m 102 cm		64 cm
5 m 300 cm		76 m 105 cm		76 m 105 cm

B. Use decimal fractions to write in kilometre.

32 m		712 m		6 m
30 km 500 m		66 km 19 m		5 km 292 m

C. Use decimal fractions to write in kilogram.

781 g		3 g		78 g
4 kg 221 g		13 kg 7 g		79 kg 422 g

D. Use decimal fractions to write in litre.

88 ml		657 ml		2 l 888 ml
13 l 443 ml		9 ml		20 l 5 ml

Example 5:

897.1732 decagram 89717.32 decigram

89.71732 hectogram897173.2 centigram

8.971732 kilogram 8971732 milligram

Example 6: Express 6 dm 2 cm 3 mm as a decimal of a centimetre.

6 dm = 60 cm

3 mm = 0.3 cm

Therefore, 6 dm 2 cm 3 mm = 60 cm + 2 cm + 0.3 cm = 62.3 cm

Example 7: Express 6 kl 2 hl 2 dal 1 l as a decimal of a decalitre.

6 kl = 600 dal

2 hl = 20 dal

1 l = 0.1 dal

Therefore, 6 kl 2 hl 2 dal 1 l = 600 dal + 20 dal + 2 dal + 0.1 dal = 622.1 dal

A. Express following as a decimal fraction of metre.

1. 67 cm
2. 243 cm
3. 564 cm
4. 8894 cm
5. 3 dam 2 hm 1 m
6. 8 dam 4 cm 2 mm

B. Express the following as a decimal fraction of decilitre.

1. 20 l
2. 24 l
3. 278 l
4. 896 dal
5. 5 l 7 dl 6 cl 5 ml
6. 9 hl 5 ml

C. Express the following as a decimal fraction of kilogram.

1. 6 hg 1 dag
2. 8 kg 2 hg 3 dag 8 g
3. 6735 dag
4. 5 cg
5. 42 cg
6. 40 g

D. Express the following as a decimal fraction of decametre.

1. 5000 mm
2. 6 km 2 dam 7 hm 8 m
3. 456 m
4. 135 mm
5. 824 dm
6. 59 m

E. Express the following as a decimal fraction of hectogram.

1. 4553 gm
2. 1 kg 5 dag 1 hg 5 g
3. 6 gm 2 dg 1 cg 8 mg
4. 56 dag
5. 700 dag
6. 8 dag 5 hg 3 g

F. Express following as a decimal of a litre.

1. 8000 ml
2. 4 kl
3. 2 kl 2 dal 2 hl 2 l
4. 8 dl 3 cl 3 ml
5. 6 l 4 cl 9 ml
6. 9 kl 5 cl 2 ml