Subscribe to our YouTube channel for the latest videos, updates, and tips.


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.

Rules for Multiplying Decimals by 10 100 and 1000

To Multiply a decimal number by 10, 100 and 1000, we simply shift the decimal point to the right by one, two and three places respectively. If there are no sufficient digits for shifting the point to the right, we add zeros to the extreme right.


Multiplying Decimals by 10, 100 and 1000 Video

Subscribe to our YouTube channel for the latest videos, updates, and tips.


Let us consider some examples.

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 multiplicand 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 multiplicand 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 multiplicand 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


5. Multiply the same decimal number by 10, 100 and 1000:

(i) 3.375 × 10

(ii) 3.375 × 100

(iii) 3.375 × 1000


Solution:

(i) 3.375 × 10 = 33.75 (Decimal point shifted to one place to the right as the multiplier has one zero to its right.)

(ii) 3.375 × 100 = 337.5 (Decimal point shifted to two places to the right as the multiplier has two zeros to its right.)

(iii) 3.375 × 1000 = 3375 (Decimal point shifted to three places to the right as the multiplier has three zeros to its right. Since there is no digit after that place, we need not place decimal point.)


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.


Worksheet on Multiplication of a Decimal by 10, 100, 1000

1. Find the product by shifting the point.

(i) 3.45 × 10

(ii) 15.89 × 100

(iii) 127.8 × 1000

(iv) 231.56 × 100

(v) 124.21 × 10

(vi) 543.9 × 1000

(vii) 285.93 × 100

(viii) 562.8 × 1000

(ix) 9.635 × 10

(x) 172.381 × 1000

(xi) 42.381 × 100

(xii) 432.09 × 10

(xiii) 72.439 × 10

(xiv) 54.368 × 100

(v) 150.38 × 1000


Answer:

1. (i) 34.5

(ii) 1589

(iii) 127800

(iv) 23156

(v) 12421

(vi) 543900

(vii) 28593

(viii) 562800

(ix) 96.35

(x) 172381

(xi) 4238.1

(xii) 4320.9

(xiii) 724.39

(xiv) 5436.8

(v) 150380



You might like these

● 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. Worksheet on Average | Word Problem on Average | Questions on Average

    May 19, 25 02:53 PM

    Worksheet on Average
    In worksheet on average we will solve different types of questions on the concept of average, calculating the average of the given quantities and application of average in different problems.

    Read More

  2. 8 Times Table | Multiplication Table of 8 | Read Eight Times Table

    May 18, 25 04:33 PM

    Printable eight times table
    In 8 times table we will memorize the multiplication table. Printable multiplication table is also available for the homeschoolers. 8 × 0 = 0 8 × 1 = 8 8 × 2 = 16 8 × 3 = 24 8 × 4 = 32 8 × 5 = 40

    Read More

  3. How to Find the Average in Math? | What Does Average Mean? |Definition

    May 17, 25 04:04 PM

    Average 2
    Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities.

    Read More

  4. Problems Based on Average | Word Problems |Calculating Arithmetic Mean

    May 17, 25 03:47 PM

    Here we will learn to solve the three important types of word problems based on average. The questions are mainly based on average or mean, weighted average and average speed.

    Read More

  5. Rounding Decimals | How to Round a Decimal? | Rounding off Decimal

    May 16, 25 11:13 AM

    Round off to Nearest One
    Rounding decimals are frequently used in our daily life mainly for calculating the cost of the items. In mathematics rounding off decimal is a technique used to estimate or to find the approximate

    Read More