Page 168 - Math Genius C4

E:\Working\Orange_Education\Math_Genius_4\Open_Files\Chap-09
\\September 30, 2025 9:51 AM Bharat Arora P-9 Reader _________________________ Date: ___________________74

1. Convert the following.

(a) 40 m 15 cm into cm (b) 4 kg 200 g into g

(c) 18 L 180 mL into mL

2. do as directed.

(a) cm mm (b) kg g (c) L mL
1 1 9 7 6 5 4 0 8 7 5 0 0

+ 2 7 5 – 3 9 1 9 5 – 4 3 2 5 0

Metric SySteM

In the previous classes, we have learnt about the units for measuring length, weight

(mass) and capacity. Metre (m), gram (g) and litre (L) are the base (standard) units
of length, weight (mass) and capacity, respectively.

Now, we shall learn some derived units for measuring quantities.

These units are derived by multiplying and dividing the base (standard) units. Prefixes
such as kilo-, hecto-, deca-, deci-, centi- and milli- are used along with the base unit
to represent the derived units.

That is, kilometre, hectometre, decametre, ..., millimetre

kilogram, hectogram, decagram, ..., milligram

kilolitre, hectolitre, ..., centilitre, millilitre

Look at the prefixes with their values as given below.

Smaller units
×10 ×10 ×10 ×10 ×10 ×10

km/kg/kL hm/hg/hL dam/dag/daL m/g/L dm/dg/dL cm/cg/cL mm/mg/mL

÷10 ÷10 ÷10 ÷10 ÷10 ÷10
Bigger units Base units

Math Insight
This is known as the metric system of measurement. Each unit is 10 times the unit to its
To change one metric unit of measure to another,
we multiply or divide by 10 for each step. right and one-tenth   1   of the
unit to its left.  10 

166 Mathematics-4