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Multiplying by a 2-digit number

Example 4. Find 74 × 38 using the lattice multiplication method.
Solution.

Step 1. Write the two numbers in the Step 2. Draw the diagonals of each cell
form of a table as shown. as shown.
7 4 7 4

3 3

8 8

Step 3. Multiply 4 by 3 and write the Step 4. Multiply 4 by 8 and write the

product in the lattice below 4 product in the lattice below 4
as shown. Do the same for the as shown. Do the same for the

product of 7 and 3. product of 7 and 8.
7 4 7 4
2 1 2 1
1 2 3 1 2 3

5 3
8 8
6 2

Step 5. Add the digits along the diagonals as shown. 7 4

The answer is read from left to right. 2 1 3
The product is 2812. 2 1 2
Therefore, 74 × 38 = 2812. 8 5 6 3 2 8

1 2
Example 5. Use the lattice Example 6. Find 2346 × 37 using the

multiplication method to find 236 × 24. lattice multiplication method.
Solution. 2 3 6 Solution. 2 3 4 6

0 0 1 2 0 0 1 1
4 6 2 6 8 3
0 0 9 2
0 1 2 1 4
5 8 2 4 4 8 4 2 1 2 8 2 7

6 6 4 6 8 0 2
The product is 5664. The product is 86802.
Therefore, 236 × 24 = 5664. Therefore, 2346 × 37 = 86802.

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Multiplication