Question

find the square of 46 with column method column method​

Answer 1

Step-by-step explanation:

Here, a=3 and b=7

Step 1: Make 3 columns and write the values of a2,2×a×b and b2 in these columns.

 Column IColumn II Column III  a22×a×b b2  942 49

Step 2: Underline the unit digit of b2 (in Column III ) and add its tens digit, if any, with 2×a×b ( in column II )

 Column IColumn II  Column III a22×a×b b2  9+442+4 49 

 1346  Step 3: Underline the unit digit in Column II and add the number formed by the tens and other digits if any, with a2 in Column I. Under line number in column I.

Column I Column II Column III a2 2×a×b b 9+4 42+4 49 13 46 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:

372=1369

Using multiplication :

37×37=1369

This matches with the result obtained the column method.

Answer 2

Step 2: Underline the unit digit of b2 (in Column III ) and add its tens digit, if any, with 2×a×b ( in column II )

Column IColumn II  Column III a22×a×b b2  9+442+4 49  

1346  Step 3: Underline the unit digit in Column II and add the number formed by the tens and other digits if any, with a2 in Column I. Under line number in column I.

Column I Column II Column III a2 2×a×b b 9+4 42+4 49 13 46 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:

372=1369

Using multiplication :

37×37=1369

This matches with the result obtained the column method.

Step-by-step explanation:

Step 1: Make 3 columns and write the values of a2,2×a×b and b2 in these columns.

Column IColumn II Column III  a22×a×b b2  942 49

Step 2: Underline the unit digit of b2 (in Column III ) and add its tens digit, if any, with 2×a×b ( in column II )

Column IColumn II  Column III a22×a×b b2  9+442+4 49  

1346  Step 3: Underline the unit digit in Column II and add the number formed by the tens and other digits if any, with a2 in Column I. Under line number in column I.

Column I Column II Column III a2 2×a×b b 9+4 42+4 49 13 46 Step 4: Write the underline digits at the bottom of each column to obtain the square of the given number.