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

__UNIT−2__

__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

Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail

4th Maths : Term 2 Unit 2 : Numbers : Multiplication by lattice algorithm | Numbers | Term 2 Chapter 2 | 4th Maths

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