# Expansion Method of Multiplication

We will discuss here about the expansion method of multiplication. Now we will learn to multiply a 2-digit number and a 3-digit number by a 1-digit number using the method of expansion.

Solved examples for using the expand method of multiplication:

1. Multiply 82 × 7.

= (80 + 2) × 7, (breaking 82 as 8 × 10 + 2 × 1)

= 7 × 80 + 7 × 2

= 560 + 14

= 574

2. Find the value of 432 × 8.

(400 + 30 + 2) × 8, (breaking 432 as 4 × 100 + 3 × 10 + 2 × 1)

= 400 × 8 + 30 × 8 + 2 × 8

= 3200 + 240 + 16

= 3456

Similarly we can multiply a 4-digit number by a 1-digit number.

3. Find the product of 1023 and 3.

1023 × 3

(1000 + 20 + 3) × 3

= 3 × 1000 + 3 × 20 + 3 × 3

= 3000 + 60 + 9

= 3069

4. Find the product of 1378 and 5.

1378 × 5

(1000 + 300 + 70 + 8) × 5

= 5 × 1000 + 5 × 300 + 5 × 70 + 5 × 8

= 5000 + 1500 + 350 + 40

= 6890

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