Find the square of 54 using column method.Verify the result by finding the square using the usual multiplication.
Answers
Answer:
2916
Step-by-step explanation:
Here
a = 5 , b = 4
Step 1 : Make 3 columns and write the value of a^2 , 2 × a × b and b^2 in these columns
Column I Column II Column III
a^ 2 × a × b b^2
25 40 16
Step 2 : Underline the unit digit ( in Column III ) and add its tens digit , if any , with 2 × a × b ( in column II )
Column I Column II Column III
a^2 2 × a × b b^2
25 40 + 1 16
41
Step 3 : Underline the digit in Column II and add the number formed by the tens and the other digits if any , with a^2 in Column I.
Column I Column II Column III
a^2 2 × a × b b^2
25 + 4 40 + 1 16
29 41
Step 5 : Write the underline digits at the bottom
of each column to obtain the square of the given number.
In thisvcase , we have :
54^2 = 2916
Using Multication :
54 × 54 = 2916
Hope it helps you.
Answer:
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