Page 16 - Start Up Mathematics_6

1 metre (m) = 10 decimetres (dm)

1 decametre (dam) = 10 metres (m)
1 hectometre (hm) = 10 decametres (dam)
1 kilometre (km) = 10 hectometres (hm)

B. Mass

The standard unit of mass is kilogram (kg). There exist smaller as well as bigger units of mass.
Their relation are as follows:

1 centigram (cg) = 10 milligrams (mg)
1 decigram (dg) = 10 centigrams (cg) Extension
1 gram (g) = 10 decigrams (dg) tonne kilogram gram milligram

1 decagram (dag) = 10 grams (g)
1 hectogram (hg) = 10 decagrams (dag) × 1,000 × 1,000 × 1,000
1 kilogram (kg) = 10 hectograms (hg)

C. Capacity

The standard unit of capacity is litre (L). Remember
There exist smaller as well as bigger units To convert a larger unit to smaller, we multiply by 10 . To
p
p
of capacity. Their relation is as follows: convert a smaller unit to larger, we divide by 10 , where
1 centilitre (cL) = 10 millilitres (mL) p is the number of steps from one unit to the other.
For example, to convert kilo into hecto, deca, and so on,
1 decilitre (dL) = 10 centilitres (cL) we multiply by 10, 10 and so on. Similarly, to convert milli
2
2
1 litre (L) = 10 decilitres (dL) into centi, deci and so on, we divide by 10, 10 and so on.
1 decalitre (daL) = 10 litres (L) × 10 hm mm ÷ 10 mL × 10 3
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
2,050
Number of tickets sold on the third day = 2,050 + 2,751
Number of tickets sold on the final day = 2,751 7,707

Total number of tickets sold on all the four days
= 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: 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?
Solution: Sale during the first week of August = ` 3,85,891
Sale during the second week of August = ` 4,00,768

8