Question

find the square of following number using the column method confirm your results conventional multiplication 99​

Answer 1

Here, a=3 and b=7

Step 1: Make 3 columns and write the values of a

2

,2×a×b and b

2

in these columns.

Column I Column II Column III

a

2

2×a×b b

2

9 42 49

Step 2: Underline the unit digit of b

2

(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

9+4 42+4 4

9

13 46

Step 3: Underline the unit digit in Column II and add the number formed by the tens and other digits if any, with a

2

in Column I. Under line number in column I.

Column I Column II Column III

a

2

2×a×b b

9+4 42+4 4

9

13

4

6

Step 4: Write the underline digits at the bottom of each column to obtain the square of the given number.

In this case, we have:

37

2

=1369

Using multiplication :

37×37=1369

This matches with the result obtained the column method.