In addition of mass we will learn how to add the different units of mass or weight together.
Let us learn how to add different units of mass.
While adding we need to follow that the units of mass i.e., kilogram and gram are converted into grams before addition and then follow the simple addition process. We can add two or more units of mass given in kilogram and grams like ordinary numbers. Always express grams as 3-digit numbers for example 3 g = 003 g.
We will learn two different methods to solve addition using the standard unit and smaller unit of mass. Students can practice both the methods.
(i) Adding units with conversion into gram
(ii) Adding units without conversion into gram
Solution:
Method 1 (with conversion into gram):
We know, 1 kg = 1000 grams
Now kg and g are converted into grams before doing addition and then we need to follow the simple addition process.
7 kg 350 g = (7 × 1000) g + 350 g = 7000 g + 350 g = 7350 grams
2 kg 150 g = (2 × 1000) g + 150 g = 2000 g + 150 g = 2150 grams
Now sum,
1
7350 g
+ 2150 g
9500 g
= 9 kg 500 g
Therefore, 7 kg 350 g + 2 kg 150 g = 9 kg 500 g
Method 2 (without conversion into gram):
Here kg and g are arranged in different columns and then added like ordinary numbers.
kg g
1
7 350
+ 2 150
9 500
= 9 kg 500 g
Therefore, sum of 7 kg 350 g and 2 kg 150 g = 9 kg 500 g
2. Add 8 kg 575 g and 4 kg 897 g
Solution:
Method 1 (with conversion into gram):
We know, 1 kg = 1000 grams
Now kg and g are converted into grams before doing addition and then we need to follow the simple addition process.
8 kg 575 g = (8 × 1000) g + 575 g = 8000 g + 575 g = 8575 grams
4 kg 897 g = (4 × 1000) g + 897 g = 4000 g + 897 g = 4897 grams
Now sum,
1 1 1
8 5 7 5 g
+ 4 8 9 7 g
1 3 4 7 2 g
= 13 kg 472 g
Therefore, 8 kg 575 g + 4 kg 897 g = 13 kg 472 g
Method 2 (without conversion into gram):
Here kg and g are arranged in different columns and then added like ordinary numbers.
kg g
1 1 1
8 5 7 5
+ 4 8 9 7
1 3 4 7 2
= 13 kg 472 g
Therefore, sum of 8 kg 575 g and 4 kg 897 g = 13 kg 472 g
3. Add 17 kg, 13 kg 940 g and 15 kg 65 g
Solution:
Here kg and g are arranged in different columns and then added like ordinary numbers (without conversion into gram).
kg g
11 1
17 000
13 940
+ 15 065
46 005
= 46 kg 005 g
Therefore, sum of 17 kg, 13 kg 940 g and 15 kg 65 g = 46 kg 005 g
4. Add 6 kg 135 g and 11 kg 954 g.
Solution:
Arrange the numbers vertically.
First, add the grams.
135 + 954 = 1089 g = 1000 g + 89 g
Write 89 under grams column and carry over 1 kg to kilograms column. Add the kilograms.
6 + 11 + 1 (carry over) = 18 kg
Addition of Weights
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Write 18 kg under the kilograms column.
Hence, 6 kg 135 g + 11 kg 954 g = 18 kg 89 g.
5. Add: 45 kg 726 g, 23 kg 12 g and 7 kg 53 g.
Solution:
Let us add
Step I: Arrange the numbers vertically.
Step II: Write the weights to be added in kg and g as shown here.
Step III: First add grams from right and then add the kilograms.
Adding Weights
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Thus, 45 kg 726 g + 23 kg 12 g + 7 kg 53 g = 75 kg 791 g
The above problems on addition of mass will help the students to practice the worksheet on adding the different units with conversion or without conversion.
Questions and Answers on Addition of Mass:
I. Add the given weights:
(i) 23 kg 084 g + 16 kg 214 g
(ii) 32 g 132 mg + 57 g 265 mg
(iii) 34 kg 000 g + 19 kg 075 g
(iv) 44 kg 725 g + 15 kg 200 g
(v) 70 kg 600 g + 18 kg 504 g
(vi) 41 g 800 mg + 12 g 200 mg + 33 g 082 mg
