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\ 12-Sep-2024 Surender Prajapati Proof-5 Reader’s Sign _______________________ Date __________

Step 3: Add the products. th H t O

696 + 4640 = 5336 2 3 2
× 2 3
Thus, 232 × 23 = 5336
6 9 6 1st product
+ 4 6 4 0 2nd product
5 3 3 6 Sum
Example 4: Multiply 153 by 26.

Solution: Expand the multiplier 26 as 2 tens + 6 ones.
Step 1: Multiply 153 Step 2: Multiply 153 by Step 3: Add the products.
by 6 ones. 2 tens. 918 + 3060 = 3978

153 × 6 ones = 918 153 × 2 tens

= 153 × 20 ones = 3060 th H t O

H t O th H t O 1 5 3
1 5 3 1 5 3 × 2 6
× 2 6 × 2 6 9 1 8 1st product

9 1 8 1st product 9 1 8 1st product + 3 0 6 0 2nd product
3 0 6 0 2nd product 3 9 7 8 Sum

Thus, 153 × 26 = 3978.

lattice Multiplication

We can also multiply the numbers by using a method called Lattice multiplication.

Let us multiply 56 by 34 using lattice multiplication as shown below.

Step 1: Since 56 and 34 are both 2-digit numbers.
So, draw a 2 × 2 grid.

Also, draw diagonal lines in each box as shown alongside.

Step 2: Write the multiplicand on top and the multiplier on the right of the grid as shown.
Step 3: Multiply the numbers and write the tens place digit in the 5 6

upper triangle of each box and the ones digit at the lower 1 1 8 3
triangle of each box. 5
2 2
0 4 4

teacher’s 4
tip Explain to children with example, if after multiplication, the product is only one- 0
digit, then put a '0' in the upper triangle. Like. 2 8

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