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Find the square of the following numbers using the duplex method.
88
- a)7744
- b)7044
- c)7144
- d)7244
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Find the square of the following numbers using the duplex method.88a)7...
Explanation:
Duplex Method:
The duplex method is a technique used to find the square of numbers quickly and efficiently. It involves breaking down the number into two parts and performing calculations based on those parts.
Given Number: 88
Calculations:
- Step 1: Take the first part of the number, which is 88, and find the square of this part.
- 88^2 = 7744
- Step 2: Take the second part of the number, which is 8, and find the square of this part.
- 8^2 = 64
- Step 3: Multiply the first part by the second part and double the result.
- 88 * 8 * 2 = 1408
- Step 4: Combine the results from Step 1, Step 2, and Step 3 to get the final answer.
- Final Answer = 7744 | 1408 | 64 = 6944
Therefore, the square of 88 using the duplex method is 6944.
Duplex Method:
The duplex method is a technique used to find the square of numbers quickly and efficiently. It involves breaking down the number into two parts and performing calculations based on those parts.
Given Number: 88
Calculations:
- Step 1: Take the first part of the number, which is 88, and find the square of this part.
- 88^2 = 7744
- Step 2: Take the second part of the number, which is 8, and find the square of this part.
- 8^2 = 64
- Step 3: Multiply the first part by the second part and double the result.
- 88 * 8 * 2 = 1408
- Step 4: Combine the results from Step 1, Step 2, and Step 3 to get the final answer.
- Final Answer = 7744 | 1408 | 64 = 6944
Therefore, the square of 88 using the duplex method is 6944.
Community Answer
Find the square of the following numbers using the duplex method.88a)7...
Splitting the number 88 into its tens and units place digits, we have 8 and 8. Calculating the cross product and the square of each digit:
Cross product: 8 * 8 = 64
Square of 8: 82 = 64
Square of 8: 82 = 64
Combining the results, we get 6464, which is the square of 88. Among the options, (a) 6944 is the closest match to 6464.
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