Find the square of the numbers using column method.
34
Answers
Answer:
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.