Fill in the blanks in the following conversions:

(i) 1 km = ...................... mm = ...................... pm

(ii) 1 mg = ...................... kg = ...................... ng

(iii) 1 mL =...................... L = ...................... dm3

(i) We know the basic relation that

1km = 1000m

1 m = 1000 mm

Therefore 1 km = 1000×1000

= 10⁶ mm

We also know that

1 m = 10¹²pm

Therefore 1 km = 1000× 10¹² pm

= 10¹⁵pm

(ii) We know the basic relation that

1 kg = 1000 g

1 g = 1000 mg

So, 1 mg = 10^-3g

Therefore 1 mg = 10^-3 × 10^-3 kg

= 10^-6 kg

1 g = 10⁹ng

1000 mg = 10⁹ ng

1 mg = [10⁹]/10³ ng

= 10⁶ ng

(iii) We know the basic relation that

1 L = 1000 ml

∴ 1 ml = 10^-3 L

1 ml = 10^-3 dm³