For the conversion of standard unit of mass it’s very important to know the relationship between the different units of mass.
1000 grams = 1 kg
Two 500 grams = 1 kg
Five 200 grams = 1 kg
Ten 100 grams = 1 kg
Thus, 1 kg = Two 500 g = Five 200 g = Ten 100 g
There are some higher units named quintal and metric ton for measuring the mass of heavier things.
1 quintal = 100 kilogram
1 metric ton = 1000 kilogram
Thus, 1 metric ton = 10 quintal
Hence, one metric ton = 10 quintal or ten 100 kg = 1000 kg
Conversion of one unit of mass into another:
How to convert one unit of mass into another?
To convert kilograms into grams, we write three zeroes (000) towards the right of the number of kg. (since, 1 kg = 1000 g)
Workedout problems on conversion of standard unit of mass into another:
1. Convert the following into grams:
(i) 28 kg
We know, 1 kg = 1000 g
= (28 × 1000) g
= 28000 g
Therefore, 28 kg = 28000 g
(ii) 12 kg 58 g
We know, 1 kg = 1000 g
= (12 × 1000) g + 58 g
= 12000 g + 58 g
= 12058 g
Therefore, 12 kg 58 g = 12058 g
(iii) 15 kg 465 g
We know, 1 kg = 1000 g
= (15 × 1000) g + 465 g
= 15000 g + 465 g
= 15465 g
Therefore, 15 kg 465 g = 15465 g
2. Express the following in kilogram and grams:
(i) 3567 kg
We know 1000 g = 1 kg
First three digits 5, 6 and 7 are taken as grams
= 3 kg 567 g
Therefore, 3567 g = 3 kg 567 g
(ii) 45600 g
We know 1000 g = 1 kg
First three digits 6, 0 and 0 are taken as grams and rest 45 as kg
= 45 kg 600 g
Therefore, 45600 g = 45 kg 600 g
(iii) 23817 g
We know 1000 g = 1 kg
First three digits 8, 1 and 7 are taken as grams and rest 23 as kg
= 23 kg 817 g
Therefore, 23817 g = 23 kg 817 g
These examples will help us to understand how to solve the conversion of standard unit of mass into another unit from kilogram into gram and also to express from grams to kg and g.
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