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.

You might like these

Worksheet on Subtraction of Decimal Fractions | Subtracting Decimals

We will practice the questions given in the worksheet on subtraction of decimal fractions. While subtracting the decimal numbers convert them into like decimal then subtract as usual ignoring decimal point and then put the decimal point in the difference directly under the
Worksheet on Addition of Decimal Fractions | Word Problems on Decimals

We will practice the questions given in the worksheet on addition of decimal fractions. While adding the decimal numbers convert them into like decimal then add as usual ignoring decimal point and then put the decimal point in the sum directly under the decimal points of all
Subtraction of Decimal Fractions |Rules of Subtracting Decimal Numbers

The rules of subtracting decimal numbers are: (i) Write the digits of the given numbers one below the other such that the decimal points are in the same vertical line. (ii) Subtract as we subtract whole numbers. Let us consider some of the examples on subtraction
Addition of Decimal Fractions | Adding with Decimal Fractions|Decimals

Addition of decimal numbers are similar to addition of whole numbers. We convert them to like decimals and place the numbers vertically one below the other in such a way that the decimal point lies exactly on the vertical line. Add as usual as we learnt in the case of whole
Worksheet on Comparing and Ordering Decimals |Arranging Decimals

Practice different types of math questions given in the worksheet on comparing and ordering decimals. This worksheet contains questions mainly related to compare decimals and then place the decimals in the correct order by arranging decimals in ascending order and desce
Comparison of Decimal Fractions | Comparing Decimals Numbers | Decimal

While comparing natural numbers we first compare total number of digits in both the numbers and if they are equal then we compare the digit at the extreme left. If they also equal then we compare the next digit and so on. We follow the same pattern while comparing the
Like Decimal Fractions | Decimal Places | Decimal Fractions|Definition

Like Decimal Fractions are discussed here. Two or more decimal fractions are called like decimals if they have equal number of decimal places. However the number of digits in the integral part does not matter. 0.43, 10.41, 183.42, 1.81, 0.31 are all like fractions
Changing Unlike to Like Decimal Fraction | Like and Unlike Decimals

We will discuss here about changing unlike to like decimal fractions. Unlike decimal fractions can be changed to like decimals by adding as many zeroes as required. Convert 13.183, 341.43, 1.04 to like decimals.
Unlike Decimal Fractions | Unlike Decimals | Number of Decimal Places

Unlike decimal fractions are discussed here. Two or more decimal fractions are called unlike decimals if they have unequal numbers of decimal places. Let us consider some of the unlike decimals; (i) 8.4, 8.41, 8.412 In 8.4, 8.41, 8.412 the number of decimal places are 1, 2
Equivalent Decimal Fractions | Like Decimal Fraction | Unlike Decimal

Equivalent decimal fractions are unlike fractions which are equal in value. Numbers obtained by inserting zeros after the extreme right digit in the decimal part of a decimal number are known as equivalent decimals.
Expanded form of Decimal Fractions |How to Write a Decimal in Expanded

Decimal numbers can be expressed in expanded form using the place-value chart. In expanded form of decimal fractions we will learn how to read and write the decimal numbers. Note: When a decimal is missing either in the integral part or decimal part, substitute with 0.
Decimal Place Value Chart |Tenths Place |Hundredths Place |Thousandths

Decimal place value chart are discussed here: The first place after the decimal is got by dividing the number by 10; it is called the tenths place.
Decimal | Word Problem on Decimals |Digits after the Decimal |Fraction

A fractional number whose denominator is 10 or multiple of 10 is called a decimal. Every decimal has two parts whole number part and decimal part. These two parts are separated by a dot or point. This dot or point is known as decimal point.
Converting Decimals to Fractions | Convert Decimal into Fraction

We can express a decimal number as a fraction by keeping the given number as the numerator without a decimal point and writing 1 in the denominator followed by as many zeroes on the right as the number of decimal places in the given decimal number has.
Converting Fractions to Decimals |How to Convert Fraction into Decimal

In order to convert other fractions into decimals, we follow the following steps: Step I: Convert the fraction into an equivalent fraction with denominator 10 or 100 or 1000 if it is not so. Step II:Take the given fraction’s numerator. Then mark the decimal point after

● Decimal.

5th Grade Numbers Page

5th Grade Math Problems

From Multiplication of Decimal Numbers to HOME PAGE

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.

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.

[?]Subscribe To This Site

$XML RSS$

E-mail Address

First Name

Then Don't worry — your e-mail address is totally secure. I promise to use it only to send you Math Only Math.