Squares of Numbers

Follow the instructions given below.

Aim

Finding square roots of numbers using diagonal method.

Materials Required

• Colored pens
• paper
• scale

Procedure

Finding the square of 49 and 745:

1. 49 contains 2-digits, so draw a square with four sub-squares like shown in the picture below. Draw a diagonal in each box.
2. Then write the digits horizontally and also vertically
3. Multiply each digit on the left of the square with each digit on the top of it one by one and write the product in the corresponding sub-square. Write the ten's digit above the diagonal and the unit's digit below the diagonal.
4. Start below the lowest diagonal, find the sum of the digits diagonally. If the number obtained is a 2-digit number, underline the units place and carry-over the ten's digit to the next diagonal.
5. The underlined digits give the required square
6. To find the square of a 3-digit number (745), we need to make a square with 9 sub-digits

1

0

12

+2

14

01

+1

02

=2401