Page 65 - MathGPT_V1.0_C4

E:\Working\Brother_Education\Preparatory_Stage_Maths-4_(31-10-2023)\Open_Files\Chap-03
\\January 6, 2024 5:17 PM Bharat Arora Proof-3 Reader _________________________ Date: ___________________74

LATTICE MULTIPLICATION

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

Finding the products using the lattice multiplication is a 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 the 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 the diagonal in each box as shown. 7 3

Step 3: Multiply 3 by 4, and write the product in the box 1 4
2
below 3 as shown. (write the ones digit in the

lower triangle and the tens place digit in the 2 7 1 3

upper triangle) 8 2 4

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

as before.
Step 5: Add the numbers of boxes 7 3 Note
2 1 Use regrouping
diagonally, as shown. 8 2 4 while adding
2 the digits.
The answer is read from left 8+1=9 2
to right. Product = 292.

Thus, 73 × 4 = 292

Example 2: Find 143 × 7 by the 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
=
Carry forward
table as shown and proceed further as above. 0+ 1 1 Carry forward 1 0
Thus, 143 × 7 = 1001 7+2+ 8+2=

Mathematics-4 63