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Find the square of the following numbers using the duplex method.
26
- a)636
- b)676
- c)656
- d)666
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Find the square of the following numbers using the duplex method.26a)6...
Explanation:
Duplex Method:
The duplex method is a technique used to find the square of a number quickly. It involves breaking down the number into tens and units and then calculating the square.
Given Number: 26
To find the square of 26 using the duplex method, follow these steps:
Step 1: Break down the number into tens and units.
26 = 20 + 6
Step 2: Calculate the square of the tens and units separately.
20^2 = 400
6^2 = 36
Step 3: Multiply the tens by the units and double the result.
2 * 20 * 6 = 240
Step 4: Add the results from steps 2 and 3 to get the square of the given number.
400 + 36 + 240 = 676
Therefore, the square of 26 using the duplex method is 676.
Correct Answer: 676 (Option B)
Duplex Method:
The duplex method is a technique used to find the square of a number quickly. It involves breaking down the number into tens and units and then calculating the square.
Given Number: 26
To find the square of 26 using the duplex method, follow these steps:
Step 1: Break down the number into tens and units.
26 = 20 + 6
Step 2: Calculate the square of the tens and units separately.
20^2 = 400
6^2 = 36
Step 3: Multiply the tens by the units and double the result.
2 * 20 * 6 = 240
Step 4: Add the results from steps 2 and 3 to get the square of the given number.
400 + 36 + 240 = 676
Therefore, the square of 26 using the duplex method is 676.
Correct Answer: 676 (Option B)
Community Answer
Find the square of the following numbers using the duplex method.26a)6...
To find the square of 26 using the duplex method, we split the number into its tens and units place digits: 2 and 6. Then, we calculate the cross product and the square of each digit separately.
Cross product: 2 * 6 = 12
Square of 2: 22 = 4
Square of 6: 62 = 36
Square of 2: 22 = 4
Square of 6: 62 = 36
Combining the results, we get 426, which is the square of 26. Among the options, (b) 646 is the closest match to 426.
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