# Multiplication of a Decimal by 10, 100, 1000

This topic would deal with multiplication of decimal with 10, 100 and 1000. We have learnt multiplication of decimal numbers with other decimal numbers or whole numbers. Here we will deal with multiplication of decimal number with 10, 100, and 1000. In order to multiply a decimal number with 10, 100 or 1000 the decimal point moves right depending on the number of zeros.

For the purpose of multiplication with 10, 100 or 1000 the decimal point moves to the right. The number of places the decimal point will move depends on the number of zeros. Suppose a decimal number is multiplied with 10 then the decimal point will move one place right. If the decimal number is multiplied with 100 then the decimal point will move 2 places to the right if it is multiplied with 1000 then it will move 3 places right and so on.

For example:

5.568 × 100

The decimal point will move 2 places to the right as there are 2 zeros. Therefore the decimal will be placed after the digit 6. That means

= 556.8

Here are few more examples to illustrate multiplication of decimal by 10, 100 and 1000

1. 85.96 × 1000

The decimal point will move 3 places to the right as there are 3 zeros.

= 85960

After 6 there is no other digit but the decimal needs to move 1 more place hence we need to put zero

2. 155.26 × 100

The decimal point will move 2 places to the right as there are 2 zeros. Therefore the decimal will be placed after the digit 6. That means

= 15526

3. 50.96 × 10

The decimal point will move 1 places to the right as there are 1 zeros. Therefore the decimal will be placed after the digit 9. That means

= 509.6

4. 7.854 × 10

The decimal point will move 1 places to the right as there are 1 zeros. Therefore the decimal will be placed after the digit 8. That means

= 78.54

5. 0.554752 × 10000

The decimal point will move 4 places to the right as there are 4 zeros. Therefore the decimal will be placed after the digit 7. That means

= 5547.52

6. 703.96 × 1000

The decimal point will move 3 places to the right as there are 3 zeros.

= 703960

After 6 there is no other digit but the decimal needs to move 1 more place hence we need to put zero

7. 2.374 × 100

The decimal point will move 2 places to the right as there are 2 zeros. Therefore the decimal will be placed after the digit 7. That means

= 237.4

8. 425.58 × 1000

The decimal point will move 3 places to the right as there are 3 zeros.

= 425580

After 8 there is no other digit but the decimal needs to move 1 more place hence we need to put zero

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