Multiply the numbers: Multiply each pair of digits, one from the top row and the other from the right column. The product of each pair is placed in the box where the row and column intersect. The tens digit goes in the top triangle in each cell and the ones digit in the bottom triangle.....
Step :- 1 From the given number and count the number of digits. Let assume that number of digits in given number be n.
Step :- 2 Draw square and divide it in to n equal number of rows and n equal number of column by drawing n - 1 number of horizontal lines and n - 1 nunber of vertical lines.
Step :- 3 Draw the diagonals of each sub-squares.
Step :- 4 Write the digits of the number which is to be squared along left vertical side and top horizontal side of the squares from left to right.
Step :- 5 Multiply each digit on the left of the square with each digit on top of the column one by one and write the unit digit of the product below the diagonal and tens digit above the diagonal.
Step :- 6 Starting from the lower end of square, sum the digits along the diagonals so obtained in step 5. Write the unit digit of the sum and carry the tens digit to the next sum if there exist any.
Step :- 7 Write the digit of the right most side from top to get the required square.
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Answer:
Multiply the numbers: Multiply each pair of digits, one from the top row and the other from the right column. The product of each pair is placed in the box where the row and column intersect. The tens digit goes in the top triangle in each cell and the ones digit in the bottom triangle.....
[tex]hope \: \: this \: \: helps \: \: u[/tex]
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Verified answer
[tex]\large\underline{\sf{Solution-}}[/tex]
[tex] \underline{\bf \: Lattice \: multiplication \: method \: } \\ [/tex]
Step :- 1 From the given number and count the number of digits. Let assume that number of digits in given number be n.
Step :- 2 Draw square and divide it in to n equal number of rows and n equal number of column by drawing n - 1 number of horizontal lines and n - 1 nunber of vertical lines.
Step :- 3 Draw the diagonals of each sub-squares.
Step :- 4 Write the digits of the number which is to be squared along left vertical side and top horizontal side of the squares from left to right.
Step :- 5 Multiply each digit on the left of the square with each digit on top of the column one by one and write the unit digit of the product below the diagonal and tens digit above the diagonal.
Step :- 6 Starting from the lower end of square, sum the digits along the diagonals so obtained in step 5. Write the unit digit of the sum and carry the tens digit to the next sum if there exist any.
Step :- 7 Write the digit of the right most side from top to get the required square.
See the attachment for understanding.
1. Square of 89 using Lattice Multiplication
2. Square of 349 using Lattice Multiplication.
Thus, from attachment, we have
[tex]\bf \: {89}^{2} = 7921 \\ [/tex]
[tex]\bf \: {349}^{2} = 121801 \\ [/tex]