Vedic Maths Worksheet 3 (Comprehensive) on Digital Sum and Application

Revision of Basic Concepts

What is Digital Sum?

Digital sum refers to the sum of digits of a number until we get a single digit. There are few points to remember while calculating the digital sum. 

• In digital sum while adding, 9 is treated as 0 or it is ignored. Hence, if while adding we get a number 9 we actually consider it as 0.
• Moving forward, in a number if while adding, the final sum gets equal to 9, then in that case we don’t say that the sum is 0. Practically, it is not possible to get a sum equal to 0 when we add two numbers. Hence, in such a case, we say that the digital sum is equal to 9.
• Digital sum is not valid to approximate values. 

What are its applications?

The application of Digital Sum is as follows- 

• Checking the answer: If the answer is equal to the digital sum of the numbers that we want to add, subtract, multiply or divide, we say that the answer can be correct or right. But, if the digital sum doesn’t match with the numbers then we can say that the answer is 100% wrong. 
• We can also calculate percentages easily with the help of a trick, mentioned in the video. 

Q1. Find the digital sum of the given numbers. 

1. 3,04,885
2. 8,43,846
3. 2,98,656
4. 6,25,999
5. 1,29,738

Q2. Solve the following equations and verify the answers using the Digital Sum method.

1. 267 + 978
2. 779 + 163
3. 3456 + 3159
4. 7535 + 7676
5. 4249 + 5613
6. 20,2222 + 1,96,942
7. 23,694 + 24,840
8. 1,05,716 + 65,504
9. 8,29,958 + 2,09,984
10. 7,52,733 + 1,11,693

Q3. Solve the following equations and verify the answers using the Digital Sum method.

1. 935 - 31
2. 16,546 - 4896
3. 6890 - 4702
4. 6178 - 3603
5. 9293 - 8709
6. 59,805 - 18,645
7. 61,839 - 36,031
8. 1,65,528 - 1,16,640
9. 3,62,940 - 2,08,065
10. 65,50,404 - 25,35,086

Q4.Calculate the percentage of the following numbers. 

1. 310% of 780
2. 20% of 790
3. 30% of 360
4. 60% of 720
5. 90% of 990

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Answer Key

Answers

Q1.

1. 1
2. 6
3. 9
4. 4
5. 3

Q2. 

1. 1245; 3
2. 942; 6
3. 6615; 9
4. 15,231; 3
5. 9862; 7
6. 2,17,164; 3
7. 48,534; 6
8. 1,71,220; 4
9. 10,39,942; 1
10. 8,64,426; 3

Q3.

1. 904; 4
2. 11,650; 4
3. 2188; 1
4. 2575; 1
5. 584; 8
6. 41,260; 4
7. 25,808; 5
8. 48,888; 9
9. 1,54,875; 3
10. 40,15,318; 9

Q4. 

1. 78.00
2. 158.00
3. 108.00
4. 432.00
5. 891.00

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