Lattice Multiplication: 3rd Maths Term 2, Unit 1
Chapter: 3rd Maths : Term 2 Unit 1 : Numbers
Lattice multiplication is helpful while dealing with numbers with more than two digits. We follow the following steps in Lattice multiplication.
Multiplication Methods
Multiplication of a number with other number can be done in the following ways.
(i) Dot multiplication
(ii) Repeated addition
(iii) Regrouping
(iv) Standard multiplication algorithm
(v) Lattice multiplication
Lattice multiplication:
Lattice multiplication is helpful while dealing with numbers with more than two digits. We follow the following steps in Lattice multiplication.
Let's look at two examples: (i) 52 × 36 and (ii) 893 × 25
Step 1: Write the numbers to be multiplied as follows.
Step 2: Draw diagonals of the square.
Step 3: Multiply the numbers and write them in the cells as shown below.
Step 4: Find the sum of each diagonal and write as follows.
Step 5: Arrange the sum to get answer as follows.
Exercise
1. Find the product using standard algorithm:
(i) 20 × 2=
Product 20 × 2 = 40
(ii) 21 × 4 =
Product 21 × 4 = 84
(iii) 65 × 5 =
Product 65 × 5 = 325
(iv) 14×3=
Product 14 × 3 = 42
(v) 26 × 10 =
Product 26 × 10 = 260
2. Complete the following table
(i) If the cost of one pen is ₹ 5, what will be the cost of 8 pens? 8 × 5 = 40
(ii) If there are 7 balls in a bag, how many balls will be there in 4 bags? 4 × 7 = 28
(iii) If the cost of one book is ₹ 10, what will be the cost of 7 books? 7 × 10 = 70
(iv) If there are 6 buttons in a shirt, how many buttons will be there in 3 shirts? 3 × 6 = 18
3. Find the product of the following numbers using lattice multiplication
(i) 22× 25
Answer : 550
(ii) 34 × 51
Answer : 1734
(iii) 45 × 24
Answer : 1080