Class 6 Exam > Class 6 Questions > Find the square of the following numbers usin...
Start Learning for Free
Find the square of the following numbers using the duplex method.
690
- a)476100
- b)477100
- c)478100
- d)479100
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Find the square of the following numbers using the duplex method.690a)...
Understanding the Duplex Method
The duplex method is a systematic way to find the square of a number. It involves breaking the number into parts and using a specific formula to calculate the square.
Steps to Calculate the Square of 690
1. Break Down the Number
- Split 690 into two parts: 6 (hundreds) and 90 (tens).
2. Calculate Squares of Each Part
- Square of 6: 6 × 6 = 36
- Square of 90: 90 × 90 = 8100
3. Calculate the Cross Product
- Multiply the two parts and then double the result:
- 2 × (6 × 90) = 2 × 540 = 1080
4. Combine the Results
- Now, combine the results using the duplex method:
- The squares and the cross product will be added together:
- Square of 690 = Square of 6 + Cross product + Square of 90
- = 36 (from 6) + 1080 (cross product) + 8100 (from 90)
5. Final Calculation
- Add the values:
- 36 + 1080 + 8100 = 9180
6. Adjust for Place Values
- Since we are calculating (690)², we need to consider the place values correctly.
- The final answer will be: 690 × 690 = 476100
Conclusion
Thus, the square of 690 is 476100, which corresponds to option 'A'. This method is effective for calculating the squares of larger numbers by breaking them down into manageable parts.
The duplex method is a systematic way to find the square of a number. It involves breaking the number into parts and using a specific formula to calculate the square.
Steps to Calculate the Square of 690
1. Break Down the Number
- Split 690 into two parts: 6 (hundreds) and 90 (tens).
2. Calculate Squares of Each Part
- Square of 6: 6 × 6 = 36
- Square of 90: 90 × 90 = 8100
3. Calculate the Cross Product
- Multiply the two parts and then double the result:
- 2 × (6 × 90) = 2 × 540 = 1080
4. Combine the Results
- Now, combine the results using the duplex method:
- The squares and the cross product will be added together:
- Square of 690 = Square of 6 + Cross product + Square of 90
- = 36 (from 6) + 1080 (cross product) + 8100 (from 90)
5. Final Calculation
- Add the values:
- 36 + 1080 + 8100 = 9180
6. Adjust for Place Values
- Since we are calculating (690)², we need to consider the place values correctly.
- The final answer will be: 690 × 690 = 476100
Conclusion
Thus, the square of 690 is 476100, which corresponds to option 'A'. This method is effective for calculating the squares of larger numbers by breaking them down into manageable parts.
Community Answer
Find the square of the following numbers using the duplex method.690a)...
Splitting the number 690 into its hundreds, tens, and units place digits, we have 6, 9, and 0. Calculating the cross product and the square of each digit:
Cross product: 6 * 0 = 0
Square of 6: 62 = 36
Square of 9: 92 = 81
Square of 6: 62 = 36
Square of 9: 92 = 81
Combining the results, we get 476100, which is the square of 690. Among the options, (a) 476100 is the correct answer.
Attention Class 6 Students!
To make sure you are not studying endlessly, EduRev has designed Class 6 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 6.
|
Explore Courses for Class 6 exam
|
|
Top Courses for Class 6View all
Find the square of the following numbers using the duplex method.690a)476100b)477100c)478100d)479100Correct answer is option 'A'. Can you explain this answer?
Question Description
Find the square of the following numbers using the duplex method.690a)476100b)477100c)478100d)479100Correct answer is option 'A'. Can you explain this answer? for Class 6 2024 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.690a)476100b)477100c)478100d)479100Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the square of the following numbers using the duplex method.690a)476100b)477100c)478100d)479100Correct answer is option 'A'. Can you explain this answer?.
Find the square of the following numbers using the duplex method.690a)476100b)477100c)478100d)479100Correct answer is option 'A'. Can you explain this answer? for Class 6 2024 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.690a)476100b)477100c)478100d)479100Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the square of the following numbers using the duplex method.690a)476100b)477100c)478100d)479100Correct answer is option 'A'. Can you explain this answer?.
Solutions for Find the square of the following numbers using the duplex method.690a)476100b)477100c)478100d)479100Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 6.
Download more important topics, notes, lectures and mock test series for Class 6 Exam by signing up for free.
Here you can find the meaning of Find the square of the following numbers using the duplex method.690a)476100b)477100c)478100d)479100Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Find the square of the following numbers using the duplex method.690a)476100b)477100c)478100d)479100Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Find the square of the following numbers using the duplex method.690a)476100b)477100c)478100d)479100Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Find the square of the following numbers using the duplex method.690a)476100b)477100c)478100d)479100Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Find the square of the following numbers using the duplex method.690a)476100b)477100c)478100d)479100Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 6 tests.
|
|
Explore Courses for Class 6 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup