1. Knowing Our Numbers Worksheet With Answers Page 8
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25B. Mass
The standard unit of mass is kilogram (kg). There exist smaller as well as bigger units of mass. Their
relation are as follows:
Extension
1 centigram (cg) = 10 milligrams (mg)
tonne
kilogram
gram
milligram
1 decigram (dg) = 10 centigrams (cg)
1 gram (g)
= 10 decigrams (dg)
× 1,000
× 1,000
× 1,000
1 decagram (dag) = 10 grams (g)
1 hectogram (hg) = 10 decagrams (dag)
1 kilogram (kg)
= 10 hectograms (hg)
Remember
C. Capacity
F
To convert a larger unit to smaller, we multiply by 10
.
F
To convert a smaller unit to larger, we divide by 10
,
The standard unit of capacity is litre (L).
where F is the number of steps from one unit to the
There exist smaller as well as bigger units
other.
of capacity. Their relation is as follows:
For example, to convert kilo into hecto, deca, and so
1 centilitre (cL) = 10 millilitres (mL)
2
on, we multiply by 10, 10
and so on. Similarly, to convert
1 decilitre (dL) = 10 centilitres (cL)
2
milli into centi, deci and so on, we divide by 10, 10
and
1 litre (L)
= 10 decilitres (dL)
so on.
1 decalitre (daL) = 10 litres (L)
hm
mm
mL
3
× 10
÷ 10
× 10
1 hectolitre (hL) = 10 decalitres (daL)
km
cm
L
1 kilolitre (kL) = 10 hectolitres (hL)
Example 11: A book exhibition was held for four days in a school. The number of tickets sold at
the counter on the first, second, third and last day was 1,094; 1,812; 2,050 and 2,751
respectively. Find the total number of tickets sold on all the four days.
(NCERT)
Solution:
Number of tickets sold on the first day
= 1,094
1,094
Number of tickets sold on the second day = 1,812
1,812
Number of tickets sold on the third day
= 2,050
2,050
Number of tickets sold on the final day
= 2,751
+ 2,751
Total number of tickets sold on all the four days
7,707
= 1,094 + 1,812 + 2,050 + 2,751 = 7,707
The total number of tickets sold on all the four days = 7,707
Example 12: In an election, the successful candidate registered 6,83,400 votes and his nearest rival
secured 3,48,700 votes. By what margin did the successful candidate win the election?
Solution:
Number of votes registered by the successful candidate = 6,83,400
Number of votes registered by his nearest rival = 3,48,700
6,83,400
Margin of votes by which the successful candidate won
– 3,48,700
= 6,83,400 – 3,48,700 = 3,34,700
3,34,700
Therefore, the margin of votes by which the successful
candidate won = 3,34,700
<
Example 13: Royal bookstore sold books worth
3,85,891 in the first week of August and books
<
worth
4,00,768 in the second week of the month. How much was the sale for the two
weeks together? In which week was the sale greater and by how much?
8
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