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. Shifting of Digits in a Number |Exchanging the Digits to Another Place

    May 19, 24 05:43 PM

    What is the Effect of shifting of digits in a number? Let us observe two numbers 1528 and 5182. We see that the digits are the same, but places are different in these two numbers. Thus, if the digits…

    Read More

  2. Formation of Greatest and Smallest Numbers | Arranging the Numbers

    May 19, 24 03:36 PM

    Formation of Greatest and Smallest Numbers
    the greatest number is formed by arranging the given digits in descending order and the smallest number by arranging them in ascending order. The position of the digit at the extreme left of a number…

    Read More

  3. Formation of Numbers with the Given Digits |Making Numbers with Digits

    May 19, 24 03:19 PM

    In formation of numbers with the given digits we may say that a number is an arranged group of digits. Numbers may be formed with or without the repetition of digits.

    Read More

  4. Arranging Numbers | Ascending Order | Descending Order |Compare Digits

    May 19, 24 02:23 PM

    Arranging Numbers
    We know, while arranging numbers from the smallest number to the largest number, then the numbers are arranged in ascending order. Vice-versa while arranging numbers from the largest number to the sma…

    Read More

  5. Comparison of Numbers | Compare Numbers Rules | Examples of Comparison

    May 19, 24 01:26 PM

    Rules for Comparison of Numbers
    Rule I: We know that a number with more digits is always greater than the number with less number of digits. Rule II: When the two numbers have the same number of digits, we start comparing the digits…

    Read More