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lattice Multiplication

We can also find the product of two numbers using lattice multiplication.

Finding the products using lattice multiplication is fun! It is a very interesting method.

We have already learned lattice multiplication in our previous class. Let us learn further:

Multiplying by 1-Digit number

Example 1: Find 73 × 4 by lattice multiplication.
7 3 Multiplicand
Solution: Draw a 2 × 1 table as 73 × 4 has 2-digit and
4 Multiplier
1-digit numbers respectively, and follow the
given steps:
7 3
Step 1: Write the two numbers on the top and side of
4
the table as shown.

Step 2: Draw a diagonal in each box as shown. 7 3

Step 3: Multiply 3 by 4, and write the product in the box 1 2 4

below 3 as shown. (Write the ones digit in the

lower triangle and the tens place digit in the 7 3
2 1
upper triangle) 8 2 4

Step 4: Multiply 7 by 4, and write the product in the

same way.
7 3
Step 5: Add the numbers in the triangles diagonally, 2 1

as shown. 2 8 2 4

The answer is read from left to right. Product 8+1=9 2

= 292. Note

Thus, 73 × 4 = 292. Use regrouping while
adding the digits.
Example 2: Find 143 × 7 by lattice multiplication.
1 4 3
Solution: Here, we have to multiply a 3-digit number 0 2 2 7

by a 1-digit number, so, we draw a 3 × 1 =1 0 7 8 1 1
1
=
table as shown and proceed further as 0+ 1 Carry forward 1 0
Carry forward
1
shown alongside. 7+2+ 8+2=
Thus, 143 × 7 = 1001.

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