This method can be used by multiplying a two digit number.

**Mutiplication 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

__Multiplication
by regrouping:__

This method can be used by multiplying a two
digit number.

Consider the following multiplication

53 × 7

53 can be regroup into 5 tens and 3 ones.

Hence, 53 × 7 can be
written as (50 + 3)
× 7

= (50 × 7) + (3 × 7)

= 350 + 21

= 371.

__Example__

14
× 2 = ?

That
is __2 Times 14__

14
× 2 = __2 × 1 Ten__ + __2 × 4 Ones__

= __2 × 10__ + __2 × 4__ = 20 + 8

= __14 × 2__ = 28

__Exercise__

**1. Multiply the following numbers by regrouping**

** **

**(i) ****75
×**** 8 **

**= (70 + 8 ) × 8**

**= (70 × 8) + (5 × 8)**

**= 560 + 40**

**= 600 **

** **

**(ii)
26**** ×**** 5 **

**= (26 + 6) × 5**

**= (20 × 5) + (6 × 5)**

**= 100 + 30**

**= 130**

**(iii)
372**** ×**** 6 **

**= (370 + 2 ) × 6**

**= (370 × 6) + (2 × 6)**

**= 2220 + 12**

**= 2232**

** (iv) 402**** ×**** 7**

**= ( 400 + 2) × 7**

**= ( 400 × 7) + (2 × 7)**

**= 2800 + 14**

**= 2814 **

**(v) 752****
×**** 3**

**= ( 750 + 2) × 3**

**= (750 × 3 ) + (2 × 3)**

**= 2250 + 6**

**= 2256**

Tags : Numbers | Term 2 Chapter 1 | 3rd Maths , 3rd Maths : Term 2 Unit 1 : Numbers

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3rd Maths : Term 2 Unit 1 : Numbers : Multiplication by regrouping | Numbers | Term 2 Chapter 1 | 3rd Maths

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