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This worksheet appears to explore the concept of "Nikhilam" in Vedic mathematics, specifically related to the complementary numbers. Nikhilam Sutra translates as "All from 9 and the last from 10", which is a technique used for performing fast subtraction and complements.

In the problem, you are likely working with the Nikhilam Sutra approach to find complements for numbers, then adding them. The question is asking whether the sum of the given numbers and their complements result in round numbers (1000 for three-digit numbers and 10,000 for four-digit numbers).

Let’s break it down for each number:

1. **428:**
   - Complement = \( 1000 - 428 = 572 \)
   - Sum = \( 428 + 572 = 1000 \) ✔

2. **132:**
   - Complement = \( 1000 - 132 = 868 \)
   - Sum = \( 132 + 868 = 1000 \) ✔

3. **1235:**
   - Complement = \( 10,000 - 1235 = 8765 \)
   - Sum = \( 1235 + 8765 = 10,000 \) ✔

4. **1681:**
   - Complement = \( 10,000 - 1681 = 8319 \)
   - Sum = \( 1681 + 8319 = 10,000 \) ✔

5. **6708:**
   - Complement = \( 10,000 - 6708 = 3292 \)
   - Sum = \( 6708 + 3292 = 10,000 \) ✔

6. **5471:**
   - Complement = \( 10,000 - 5471 = 4529 \)
   - Sum = \( 5471 + 4529 = 10,000 \) ✔

For each pair of numbers, adding the original number to its complement results in the expected round numbers (1000 for three-digit numbers and 10,000 for four-digit numbers), confirming that the method and answers are correct.

Would you like further clarification on how Nikhilam complements are calculated, or details on Vedic math techniques?

Here are 5 questions related to the concept:

1. How is the Nikhilam method useful in subtraction or large number operations?
2. Can Nikhilam Sutra be applied to multiplication as well? How does it work?
3. What is the significance of choosing 1000 or 10,000 as the reference for complements?
4. How does the Nikhilam Sutra differ from conventional arithmetic methods?
5. Can this approach be extended to numbers larger than four digits?

**Tip:** Nikhilam Sutra works especially well when the given number is close to a base of 10 (like 10, 100, 1000), making mental arithmetic quicker.

Is the sum of the three-digit number and its Nikhilam 1000? Is the sum of the four-digit number and its Nikhilam 10,000? If it is, your answer is correct!

Learn how to use the Nikhilam Sutra to find complements for three and four-digit numbers, ensuring the sum with their complements results in 1000 or 10,000. This method is part of Vedic mathematics and simplifies fast subtraction.

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