Page 162 - ICSE Math 5

Example 4: Convert 4 hg to dg.
Solution: 4 hg = 4 × (10 × 10 × 10) dg
 10  10  10
= 4  1,000 dg = 4,000 dg
hg dag g dg
Example 5: Convert 6,459 g to dag, hg and kg.
Solution: We know that
1 1 1
1 g = dag, 1 g = hg and 1 g = kg.
10 100 1000
6495
6,495 g to dag = dag = 649.5 dag
10
1 6495
6,495 g to hg = 6,495 × hg = hg = 64.95 hg
100 100
1 6495
6,495 g to kg = 6,495 × kg = kg = 6.495 kg
1000 1000
So, 6,495 g = 649.5 dag = 64.95 hg = 6.495 kg.

Example 6: Express 7 kg 3 hg 2 dag 7 g in kg using decimal notation.
Solution: 7 kg 3 hg 2 dag 7 g in kg
1 1 1
We know that 1 hg = kg, 1 dag = kg and 1 g = kg.
10 100 1000
3
3 hg = kg = 0.3 kg
10
2
2 dag = kg = 0.02 kg
100
7
7 g = kg = 0.007 kg
1000
Thus, 7 kg 3 hg 2 dag 7 g = 7 kg + 3 hg + 2 dag + 7 g
= 7 kg + 0.3 kg + 0.02 kg + 0.007 kg = 7.327 kg

So, 7 kg 3 hg 2 dag 7g = 7.327 kg.

Exercise 11.2

1. Write the given measures in hg, dag and g.
(a) 42.394 kg (b) 3.056 kg (c) 0.421 kg (d) 18.305 kg

2. Write the given measures in dg, cg and mg.
(a) 9.375 g (b) 0.764 g (c) 18.056 g (d) 2.398 g

3. Express the following measures in kilograms (kg) using decimal notation.
(a) 4 kg 3 hg 2 dag 1 g (b) 8 kg 5 dag (c) 3 hg 4 g

(d) 7 kg 6 g (e) 3 kg 1 dag 7 g (f) 6 hg 2 dag 4 g
4. Express the following measures in grams (g) using decimal notation.

(a) 7 g 2 dg 4 mg (b) 8 dg (c) 3 g 2 dg 1 cg 5 mg
(d) 8 cg (e) 6 dg 7 cg 2 mg (f) 6 cg 8 mg

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