In subtraction of mass we will learn how to find the difference between the units of mass or weight. While subtracting we need to follow that the units of mass i.e., kilogram and gram are converted into grams before subtraction and then follow the simple subtraction process.
We will learn two different methods to solve subtraction using the standard unit and smaller unit of mass. Students can practice both the methods.
(i) Subtracting units with conversion into gram
(ii) Subtracting units without conversion into gram
Workedout examples on subtraction of mass:
1. Subtract 11 kg 460 g from 25 kg 765 g
Solution:
Method 1 (with conversion into gram):
We know, 1 kg = 1000 grams
Now kg and g are converted into grams before doing subtraction and then we need to follow the simple subtraction process.
11 kg 460 g = (11 × 1000) g + 460 g = 11000 g + 460 g = 11460 grams
25 kg 765 g = (25 × 1000) g + 765 g = 25000 g + 765 g = 25765 grams
Now sum,
25765 g
 11460 g
14305 g
= 14 kg 305 g
Therefore, 25 kg 765 g  11 kg 460 g = 11 kg 305 g
Method 2 (without conversion into gram):
Here kg and g are arranged in different columns and then added like ordinary numbers.
Follow the steps:
(i) kg and g are arranged in columns
(ii) 765 g  460 g = 305 g
(iii) 25 kg  11 kg = 14 kg
kg g
25 765
 11 460
14 305
= 14 kg 305 g
Therefore, difference of 11 kg 460 g from 25 kg 765 g = 14 kg 305 g
2. Subtract 24 kg 565 g from 45 kg 225 g
Solution:
Method 1 (with conversion into gram):
We know, 1 kg = 1000 grams
Now kg and g are converted into grams before doing subtraction and then we need to follow the simple subtraction process.
24 kg 565 g = (24 × 1000) g + 565 g = 24000 g + 565 g = 24565 grams
45 kg 225 g = (45 × 1000) g + 225 g = 45000 g + 225 g = 45225 grams
Now sum,
45225 g
 24565 g
20660 g
= 20 kg 660 g
Therefore, 45 kg 225 g  24 kg 565 g = 20 kg 660 g
Method 2 (without conversion into gram):
Here kg and g are arranged in different columns and then added like ordinary numbers.
Follow the steps:
(i) kg and g are arranged in columns
(ii) 225 g < 565 g, then 225 g  565 g, so 1 kg from 45 kg is borrowed and added to 225 g
1 kg + 225 g = 1000 g + 225 g = 1225 g
1225 g  565 g = 660 ml
(iii) 45 kg reduce into 44 kg
44 kg  24 kg = 20 kg
kg g
45 225
 24 565
20 660
= 20 kg 660 g
Therefore, difference of 24 kg 565 g from 45 kg 225 g = 20 kg 660 g
3. Subtract 21 kg 370 g from 37 kg 675 g without conversion into gram.
Solution:
Here kg and g are arranged in different columns and then added like ordinary numbers (without conversion into gram).
kg g
37 675
 21 370
16 305
= 16 kg 305 g
Therefore, difference of 21 kg 370 g from 37 kg 675 g = 16 kg 305 g
The above problems on subtraction of mass will help the students to practice the worksheet on subtracting the different units with conversion or without conversion.
`● Related Concepts
● Conversion of Standard Unit of Mass
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