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\ 30-Sep-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________

Example 5: Use the lattice multiplication method to 2 3 6
find 236 × 24. 0 0 1 2

Solution: Since we have to multiply a 3-digit number by 0 4 6 2
a 2-digit number, we draw a lattice of 3 × 2. 0 8 1 2 2 4 4
Proceed as discussed in the previous example. 1 =5 6 4
The product is 5664. 0+4+0+ 1 2+2+2=6

Thus, 236 × 24 = 5664. 8+1+6+1=

Example 6: Find 2346 × 37 using lattice multiplication. 2 3 4 6

Solution: Here, we have to multiply a 4-digit 0 0 1 1 3
number by a 2-digit number, so, we 0 6 9 2 8
draw a 4 × 2 lattice multiplication, and 1 4 2 2 4 7
do the process. The product is 86802. 1 =8 6 = 8 1 0 8 2

1+6+0+ 4+2+9+1= 1+2+2+1+ 8+4+8=
Thus, 2346 × 37 = 86802. 1 2 2 2

Practice Time 3H

Multiply the following by using the lattice method.
1. 58 × 4 2. 248 × 3 3. 2138 × 9 4. 86 × 45

5. 346 × 43 6. 4358 × 52

Mental Maths Critical Thinking
Tick () the correct option.
1. 100 × 25 × _________ = 0
(a) 3 (b) 1 (c) 0 (d) 10

2. 325 × 48 = 325 × 40 + 325 × ______

(a) 8 (b) 7 (c) 6 (d) 10
3. 48 × (24 × _____ ) = (48 × 24) × 20

(a) 70 (b) 20 (c) 24 (d) 48

4. _________ × 1000 = 1000 × 9999
(a) 99 (b) 999 (c) 9999 (d) 99,999

5. 65 × 0 × 287 = ________
(a) 0 (b) 1331 (c) 10 (d) 1

Teacher’s Explain to the students, that in lattice multiplication if after the product of two single digits, we have no tens
Tip digit then we put a '0' in the upper triangle of the lattice for that particular product.

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