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example 3: Find 2436 × 5 by the lattice multiplication. 2 4 3 6

Solution: Here, we have to multiply a 4-digit number 1 2 1 3 5
by a 1-digit number, so, we draw a 4 × 1 1 0 0 5 0 0
table and proceed as shown alongside. 0+2=2 0+1=1 5+3=8

Thus, 2436 × 5 = 12180

Multiplying by a 2-digit Number

Let us multiply the 2-digit number by a 2-digit number by Note
using lattice multiplication. We can use the word

example 4: Find 74 × 38 by the lattice multiplication. lattice, instead of
table or grid in lattice
Solution: Here, we have to multiply a 2-digit number multiplication.
by a 2-digit number, so, we draw a 2 × 2 table.

Step 1: Write the factors in the table as shown. 7 4

3

8

Step 2: Draw the diagonals of each box of the 7 4
table as shown. 3

8

Step 3: Multiply 4 by 3 and write the product in 7 4
the lattice below 4 as shown. Do same 2 1 1 2 3
for the product of 7 and 3.
8

Step 4: Multiply 4 by 8 and write the product 7 4

in the lattice below 4 as shown. Do the 2 1 1 2 3
same for the product of 7 and 8. 5 3
6 2 8

Step 5: Add the digits along the diagonals as 7 4

shown. The answer is read from left to 2 1 1 2 3
right. 2 5 3
The product is 2812. 1 =8 1 6 2 8

5+1+1+ 1 2
Thus, 74 × 38 = 2812 6+3+2=

64 Mathematics-4