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# Multiplication by lattice algorithm

Multiplication by lattice algorithm ( up to 2 digit number by 2 digit number and 3 digit number by single digit number)

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NUMBERS Multiplication by lattice algorithm ( up to 2 digit number by 2 digit number and 3 digit number by single digit number)

1. Able to do elementary multiplication of 2 digit by 2 digit and 3 digit by single digit numbers using lattice algorithm and the standard (column) algorithm.

Multiplication of 2 digit by a 2 digit number:

Lattice Algorithm:−

EXAMPLE 1

48 × 36 48 × 36 = 1728

Multiply: 96 × 72

EXAMPLE 2 96 × 72 = 6912

Standard Algorithm:

Multiply: 48 × 36

36 = 30 + 6 EXAMPLE 3

In a school there are 24 desks in each class room. If there are 18 class rooms in the school, Find the total number of desks. Solution:

Number of desks in each class rooms = 24

Number of desks in 18 class rooms = 18 × 24

24 = 20 + 4

Standard Algorithm:

Multiply: 18 × 24

18 × 24 Multiply 3 digit number by 1 digit number: Lattice Algorithm:

EXAMPLE 1

282 × 9 EXAMPLE 2

647 × 6 Standard Algorithm

EXAMPLE 3 Step: 1

Multiply the ones: 2 ones × 9 = 18 ones

= 8 ones + 10 ones

write 8 in the ones place and carry over 1 to the tens place.

Step: 2

Multiply the tens: 8 tens × 9 = 72 tens.

72 tens + 1 tens = 73 tens

= 70 tens + 3 tens

= 7 hundreds + 3 tens

Write 3 in tens place and carry over 7 to the hundred place.

Step: 3

Multiply the hundreds:

2 hundreds × 9 = 18 hundreds.

18 hundreds + 7 hundreds = 25 hundreds.

= 20 hundreds + 5 hundreds

= 2 thousands + 5 hundreds

EXAMPLE 4

A book has 396 pages. How many pages are there in 9 such books? Solution:

No. of pages in a book = 396 pages

Number of pages in 9 books = 396 × 9

= 3564 pages. Tags : Numbers | Term 2 Chapter 2 | 4th Maths , 4th Maths : Term 2 Unit 2 : Numbers
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4th Maths : Term 2 Unit 2 : Numbers : Multiplication by lattice algorithm | Numbers | Term 2 Chapter 2 | 4th Maths