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Conversion of Length

Example 1: Convert the following.

( a) 28 km into m (b) 4 km into dam (c) 93 hm into m (d) 4 cm into mm
Solution: (a) 28 km = 28 × 1000 m × 10 × 10 × 10

= 28000 m km hm dam m
( b) 4 km = 4 × 100 dam × 10 × 10
Math Insight
= 400 dam
km hm dam A fun mnemonic to
( c) 93 hm = 93 × 100 m × 10 × 10 remember the order of
= 9 3 0 0 m metric prefixes is: “King
hm dam m Henry Doesn’t Usually
( d) 4 cm = 4 × 10 mm × 10 Drink Chocolate Milk.”
= 4 0 m m (Kilo, Hecto, Deca, Unit,

cm mm Deci, Centi, Milli).
Conversion of Weight

Example 2: Convert the following.
( a) 37 kg into g (b) 40 dag into cg (c) 153 hg into g (d) 305 dg into cg

Solution: (a) 37 kg into g × 10 × 10 × 10

37 kg = 37 × 1000 g = 37000 g kg hg dag g
( b) 40 dag into cg × 10 × 10 × 10
40 dag = 40 × 1000 cg = 40000 cg dag g dg cg

( c) 153 hg into g × 10 × 10

153 hg = 153 × 100 g = 15300 g
hg dag g
( d) 305 dg into cg × 10

305 dg = 305 × 10 cg = 3050 cg dg cg
Conversion of Capacity

Example 3: Convert the following.
( a) 7 kL into daL (b) 93 hL into cL (c) 214 L into dL (d) 15 daL into mL

Solution: (a) 7 kL into daL × 10 × 10
7 kL = 7 × 100 daL

= 700 daL kL hL daL
( b) 93 hL into cL × 10 × 10 × 10 × 10

93 hL = 93 × 10000 cL
hL daL L dL cL
= 930000 cL

( c) 214 L into dL × 10

214 L = 214 × 10 dL = 2140 dL L dL

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