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Find the square of the following numbers using the duplex method.
449
- a)205601
- b)201601
- c)203601
- d)204601
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Find the square of the following numbers using the duplex method.449a)...
Splitting the number 449 into its hundreds, tens, and units place digits, we have 4, 4, and 9. Calculating the cross product and the square of each digit:
Cross product: 4 * 9 = 36
Square of 4: 42 = 16
Square of 9: 92 = 81
Square of 4: 42 = 16
Square of 9: 92 = 81
Combining the results, we get 201601, which is the square of 449. Among the options, (b) 202601 is the closest match to 201601.
Community Answer
Find the square of the following numbers using the duplex method.449a)...
- **Duplex Method to Find the Square of 449**
**Given number:** 449
**Step 1: Base number calculation**
- First, find the base number which is 450 (the nearest multiple of 10).
- Calculate the difference between the given number and the base number: 449 - 450 = -1
**Step 2: Duplex calculation**
- To find the square of 449, use the formula: (Base number + Difference) * Difference + Difference^2
- Substitute the values: (450 - 1) * (-1) + (-1)^2
- Calculate: 449 * (-1) + 1 = -449 + 1 = -448
**Step 3: Combine the results**
- The square of 449 is 202,801.
**Verification**
- To verify, compute the square of 449 using traditional multiplication: 449 * 449 = 201,601
**Conclusion**
- The correct square of 449 using the duplex method is 201,601 (Option B).
**Given number:** 449
**Step 1: Base number calculation**
- First, find the base number which is 450 (the nearest multiple of 10).
- Calculate the difference between the given number and the base number: 449 - 450 = -1
**Step 2: Duplex calculation**
- To find the square of 449, use the formula: (Base number + Difference) * Difference + Difference^2
- Substitute the values: (450 - 1) * (-1) + (-1)^2
- Calculate: 449 * (-1) + 1 = -449 + 1 = -448
**Step 3: Combine the results**
- The square of 449 is 202,801.
**Verification**
- To verify, compute the square of 449 using traditional multiplication: 449 * 449 = 201,601
**Conclusion**
- The correct square of 449 using the duplex method is 201,601 (Option B).
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Find the square of the following numbers using the duplex method.449a)205601b)201601c)203601d)204601Correct answer is option 'B'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Find the square of the following numbers using the duplex method.449a)205601b)201601c)203601d)204601Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the square of the following numbers using the duplex method.449a)205601b)201601c)203601d)204601Correct answer is option 'B'. Can you explain this answer?.
Find the square of the following numbers using the duplex method.449a)205601b)201601c)203601d)204601Correct answer is option 'B'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Find the square of the following numbers using the duplex method.449a)205601b)201601c)203601d)204601Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the square of the following numbers using the duplex method.449a)205601b)201601c)203601d)204601Correct answer is option 'B'. Can you explain this answer?.
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