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Knowledge Desk
In metric system, every measuring unit is based on 10 or multiples of 10. In American
system, the smaller unit and larger units vary, like 12 inch = 1 foot, 16 ounces = 1 Pound and 4
quarts = 1 gallon.

Conversion of Bigger Units to Smaller Units

For converting bigger units into smaller units, multiply by 10 for every step as we move
towards the right.
Remember
× 10 × 10 × 10 × 10 × 10 × 10
To convert bigger unit
into smaller unit, we
Kilo Hecto Deca Standard unit Deci Centi Milli always multiply.
(m/g/L)
Writing Units in Decimal

Length
km hm dam m dm cm mm
5 2 7 8 = 5.278 km
5 7 6 5 = 5.765 m
1 2 6 7 = 126.7 cm
Weight
kg hg dag g dg cg mg

7 2 8 4 5 = 7.2845 kg
2 5 0 8 = 2.508 g
Capacity

kL hL daL L dL cL mL
2 3 4 5 0 2 1 = 2.345021 kL
1 7 7 1 = 1.771 L
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

= 400 dam
km hm dam
(c) 93 hm = 93 × 100 m × 10 × 10

= 9300 m
hm dam m
(d) 4 cm = 4 × 10 mm × 10
= 40 mm
cm mm

184 Mathematics-5