If you are feeling difficulty in adding masses then you came to a correct page that will explain how to add mass. This article includes how to add mass with conversions and adding mass without the conversion. It also explains the concept of adding masses by considering several examples and explains all of them step by step. With this information, you can solve the problems very easily and accurately.
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How to find the Addition of Mass?
While adding the mass of an object, we will learn how to add the different units of mass together. While adding addends 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 kilograms and grams like ordinary numbers. Always express grams as 3-digit numbers for example 3 g = 003 g. If the addends have the same units of mass then the sum is in the same unit of the addends.
Here, we will learn two different models to solve problems on adding mass using the standard unit and smaller unit of mass. Both the methods can be practiced by everyone.
- Adding units with conversion into gram
- Adding units without conversion into gram
Adding Kg and g Examples
Here are some examples of the addition of Mass. These examples will explain both the methods of calculating the addition.
Example 1:
Add 5 kg 215 g and 3 kg 180 g
Solution:
Method 1 (with conversion into gram):
We know, 1 kg = 1000 grams
Now convert kg into g before doing addition and then we have to follow the simple addition process.
5 kg 215 g = (5 × 1000) g + 215 g = 5000 g + 215 g = 5215 grams
3 kg 180 g = (3 × 1000) g + 180 g = 3000 g + 180 g = 3180 grams
Now sum,
5 2 1 5 g
+3 1 8 0 g
8 3 9 5 g
= 8 kg 395 g
Therefore, 5 kg 215 g + 3 kg 180 g = 8 kg 395 g
Method 2 (without conversion into gram):
Here arrange kg and g in different columns and then added.
kg g
5 215
+ 3 180
8 395
= 8 kg 395 g
Therefore, sum of 5 kg 215 g and 3 kg 180 g = 8 kg 395 g.
Example 2:
Add 2 kg 345 g and 6 kg 524 g
Solution:
Method 1 (with conversion into gram):
We know, 1 kg = 1000 grams
Now convert kg into grams before doing addition and then we need to follow the simple addition process.
2 kg 345 g = (2 × 1000) g + 345 g = 2000 g + 345 g = 2345 grams
6 kg 524 g = (6 × 1000) g + 524 g = 6000 g + 524 g = 6524 grams
Now Add,
2 3 4 5 g
+6 5 2 4 g
8 8 6 9 g
= 8 kg 869 g
Therefore,2 kg 345 g + 6 kg 524 g =8 kg 869 g
Method 2 (without conversion into gram):
Here we have to arrange kg and g in different columns and then added like ordinary numbers.
kg g
2 3 4 5
+ 6 5 2 4
8 8 6 9 = 8 kg 869 g
Therefore, sum of 2 kg 345 g and 6 kg 524 g = 8 kg 869 g
Example 3:
Add 59 kg, 17 kg 823 g and 32 kg 852 g
Solution:
Method 1 (with conversion into gram):
We know, 1 kg = 1000 grams
Now convert kg into grams before doing addition and then we need to follow the simple addition process.
59 kg=(59×1000)g=59000grams
17kg 823 g = (17 × 1000) g + 823 g = 17000 g + 823 g = 17823 grams
32 kg 852 g = (32 × 1000) g + 852 g = 32000 g + 852 g = 32852 grams
Now Add,
1 1
5 9 0 0 0 g
1 7 8 2 3 g
+3 2 8 5 2 g
10 9 6 7 5 g
= 109 kg 675 g
Therefore, 59 kg, 17kg 823 g+32 kg 852 g=109 kg 675 g
Method 2:
Here arrange kg and g are in different columns and then added like ordinary numbers (without conversion into gram).
kg g
11
59 000
17 823
+32 852
109 675
= 109 kg 675 g
Therefore, sum of 59 kg, 17 kg 823 g and 32 kg 852 g = 109 kg 675 g.
Example 4:
Add 9 kg 538 g and 11 kg 414 g.
Solution:
Method 1 (with conversion into gram):
We know, 1 kg = 1000 grams
Now convert kg into grams before doing addition and then we need to follow the simple addition process.
9 kg 538 g = (9× 1000) g + 538 g = 9000 g + 538 g = 9538 grams
11 kg 414 g = (11 × 1000) g + 414 g = 11000 g + 414 g = 11414 grams
Now Add,
1 1
1 1 4 1 4g
+9 5 3 8 g
2 0 9 5 2 g
= 20 kg 952 g
Therefore, 11 kg 414 g + 9 kg 538 g =20 kg 952 g
Method 2 (without conversion into gram):
Here arrange kg and g in different columns and then added like ordinary numbers.
kg g
1
1 1 4 1 4
+ 9 5 3 8
20 9 5 2 = 20 kg 952 g
Therefore, the sum of 11 kg 414 g and 9 kg 538 g = 20 kg 952 g
Example 5:
Add the weights 5 kg 124 g and 4 kg 224 g.
Solution:
Method 1 (with conversion into gram):
We know, 1 kg = 1000 grams
Now convert kg into grams before doing addition and then we need to follow the simple addition process.
5kg 124 g = (5× 1000) g + 124 g = 5000 g + 124 g = 5124 grams
4 kg 224 g = (4 × 1000) g + 224 g = 4000 g + 224 g = 4224 grams
Now Add,
5 1 2 4 g
+4 2 2 4 g
9 3 4 8 g
= 9 kg 348 g
Therefore, 5 kg 124 g + 4 kg 224 g =9 kg 348 g
Method 2 (without conversion into gram):
Here arrange kg and g in different columns and then added like ordinary numbers.
kg g
5 1 2 4
+4 2 2 4
9 3 4 8 = 9 kg 348 g
Therefore, the sum of 5 kg 124 g and 4 kg 224 g = 9 kg 348 g
Example 6:
Add the weights11 kg 826 g and 14 kg 163 g.
Solution:
Method 1 (with conversion into gram):
We know, 1 kg = 1000 grams
Now convert kg into grams before doing addition and then we need to follow the simple addition process.
11kg 826 g = (11× 1000) g + 826 g = 11000 g + 826 g = 11826grams
14 kg 163 g = (14 × 1000) g + 163 g = 14000 g + 163 g = 14163 grams
Now Add,
1 1 8 2 6 g
+1 4 1 6 3 g
2 5 9 8 9 g
= 25 kg 989 g
Therefore, 11kg 826 g + 14 kg 163 g =25 kg 989g
Method 2 (without conversion into gram):
Here we have to arrange kg and g in different columns and then added like ordinary numbers.
kg g
1 1 8 2 6
+1 4 1 6 3
2 5 9 8 9 = 25 kg 989 g
Therefore, the sum of 11 kg 826 g and 14 kg 163 g = 25 kg 989 g
Example 7:
Add the weights 38 kg 287 g and 18 kg 113 g with conversion into grams.
Solution:
We know, 1 kg = 1000 grams
Now convert kg into grams before doing addition and then we need to follow the simple addition process.
38kg 287 g = (38× 1000) g + 287 g = 38000 g + 287 g = 38287grams
18 kg 113 g = (18 × 1000) g + 113 g = 18000 g + 113 g = 18113 grams
Now Add,
1 1 1
3 8 2 8 7 g
+1 8 1 1 3 g
5 6 4 0 0 g
= 56 kg 400 g
Therefore, 38kg 287 g + 18 kg 113 g =56 kg 400g
Example 8:
Add the weights 92 kg 987 g and 71 kg 321g with out conversion
Solution:
Here arrange kg and g different columns and then added like ordinary numbers.
kg g
1 1
9 2 9 8 7
+7 1 3 2 1
16 4 3 0 8 = 164 kg 308 g
Therefore, the sum of 92 kg 987 g and 71 kg 321 g = 164 kg 308 g