Multiplication of a Decimal by 10, 100, 1000

The working rule of multiplication of a decimal by 10, 100, 1000, etc... are:

When the multiplier is 10, 100 or 1000, we move the decimal point to the right by as many places as number of zeroes after 1 in the multiplier.

1. To multiply a decimal by 10, move the decimal point in the multiplicant by one place to the right.

For examples:

(i) 834.7 × 10

Multiplication by 10

Here we multiplied the number 834.7 by 10 so we move 1 place to the right.

Or,

    834.7 × 10

= (8347/10) × 10

= 8347/1

= 8347

(ii) 73.5 × 10 = 735

(iii) 100.9 × 10 = 1009


2. To multiply a decimal by 100, move the decimal point in the multiplicant by two places to the right.

For examples:

(i) 98.26 × 100

Multiplication by 100

Here we multiplied the number 98.26 by 100 so we move 2 places to the right.

Or,

98.26 × 100

= (9826/100) × 100

= 9826/1

= 9826

(ii) 6.006 × 100 = 600.6

(iii) 0.77 × 100 = 77


3. To multiply a decimal by 1000, move the decimal point in the multiplicant by three places to the right.

For examples:

(i) 793.41 × 1000

Multiplication by 1000

Here we multiplied the number 793.41by 1000 so we move 3 places to the right.

Or,

793.41 × 1000

= (79341/100) × 1000

= 79341 × 10

= 793410

(ii) 9.15 × 1000 = 9150

(iii) 0.017 × 1000 = 17


4. To multiply a decimal by 10, 100, 1000, etc. move the decimal point of the multiplicant as many places to the right as there are zeroes in the multiplier.

For examples:

(i) 1854.347 × 10


Multiplication by 10

Here we multiplied the number by 10 so we move 1 place to the right.


(ii) 72.4 × 100

Multiplication by 100

Here there is only one place after the decimal and 100 has two zeros, so we put one zero at the end of the number.


(iii) 887.43 × 1000

Multiplication by 1000

Only 2 places are there after the decimal, but 1000 has 3 zeros, so we put one zero at the end of the number.

Multiplication of a Decimal by 10, 100, 1000


Note: Remember that in multiplication of a decimal by 10, 100, 1000, etc. the decimal will be moved to the right by as many places as the number of zeroes in the multiplier and when the number of zeros is more than the digits after the decimal number, then extra zeros must be added to the product.



● Decimal.







5th Grade Numbers Page

5th Grade Math Problems

From Multiplication of Decimal Numbers to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Divisible by 10 | Test of Divisibility by 10 Video | Rules | Examples

    Mar 29, 25 03:06 PM

    Divisible by 10
    Divisible by 10 is discussed below. A number is divisible by 10 if it has zero (0) in its units place. Consider the following numbers which are divisible by 10, using the test of divisibility by 10:

    Read More

  2. Divisible by 9 | Test of Divisibility by 9 | Rules | Video | Examples

    Mar 29, 25 02:55 PM

    Divisible by 9
    A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9. Consider the following numbers which are divisible by 9, using the test of divisibility by 9:

    Read More

  3. Divisible by 6 | Rules for Test of Divisibility by 6 Video | Examples

    Mar 29, 25 02:48 PM

    Divisible by 6
    Divisible by 6 is discussed below: A number is divisible by 6 if it is divisible by 2 and 3 both. Consider the following numbers which are divisible by 6, using the test of divisibility by 6: 42

    Read More

  4. Divisible by 5 | Rules for Test of divisibility by 5 | Video |Examples

    Mar 29, 25 02:43 PM

    Divisible by 5
    Divisible by 5 is discussed below: A number is divisible by 5 if its units place is 0 or 5. Consider the following numbers which are divisible by 5, using the test of divisibility by

    Read More

  5. Divisibility Rules From 2 to 18 | Math Divisibility Test | Videos |

    Mar 29, 25 02:17 PM

    Divisibility Rules
    To find out factors of larger numbers quickly, we perform divisibility test. There are certain rules to check divisibility of numbers. Divisibility tests of a given number by any of the number 2, 3, 4…

    Read More