Everything to learn better...

Home

Maths

Multiplication and division

Multiplying and dividing decimals by 10, 100 and 1000

Multiplying and dividing decimals by 10, 100 and 1000

Select Lesson

Explainer Video

Loading...
Tutor: Labib

Summary

Multiplying and dividing decimals by 10, 100 and 1000

​​In a nutshell

Decimal numbers are numbers with digits which are not zero after a decimal point. To multiply or divide decimals by 10,100,1000,10,100,1000, you must use place values to move the decimal place a certain number of places to the left or right.



Multiplying decimals by 10, 100, 1000

To multiply decimals by 10,100,100010,100,1000​, follow this procedure:


PROCEDURE

​​​​×10\times10​​

Move the decimal point one place to the right.

×100\times 100​​

Move the decimal point two places to the right.

×1000\times 1000​​

Move the decimal point three places to the right.


Example 1

Calculate 2.25×10002.25 \times 1000​. 


Identify the multiplier.

2.25×10002.25 \times \underline{1000}​ 

Move the decimal point three places to the right.

2.2 5 2.\overset{\curvearrowright\,\,\,\,\,}{2\thinspace 5 \thinspace}​​

2.2 5 0 2.\overset{\curvearrowright\,\curvearrowright\,\,\,\,}{2\thinspace 5 \thinspace 0}​​

2.2 5 0 0 2.\overset{\curvearrowright\curvearrowright\curvearrowright\,\,\,}{2\thinspace 5 \thinspace 0\thinspace0}

Complete the multiplication.

2.25×1000=2250.0=2250\underline{ 2.25 \times 1000 = 2250.0 = 2250}​​


Note: 00 is a placeholder which is used if you reach the end of a decimal number. If a 00 is at the very end of a decimal it can be removed from the final answer.



Dividing decimals by 10, 100, 1000

To divide decimals by 10,100,100010,100,1000​, follow this procedure:


PROCEDURE

​​​​÷10\div10​​

Move the decimal point one place to the left.

÷100\div100​​

Move the decimal point two places to the left.

÷1000\div1000​​

Move the decimal point three places to the left.


Example 2

Calculate 422.5÷100422.5 \div100


Identify the number you are dividing by.

422.5÷100422.5 \div \underline{100}​ 

Move the decimal point two places to the left.

422 .542\overset{ \curvearrowleft}{2\thinspace }.5​​

42 2.54\overset{\curvearrowleft \curvearrowleft}{2\thinspace 2 }.5​​

Complete the division.

422.5÷100=4.225\underline{422.5 \div 100 = 4.225}


Note: Only the decimal point moves position when dividing by 10,100,100010,100,1000.​


Create an account to read the summary

Exercises

Create an account to complete the exercises

FAQs - Frequently Asked Questions

How do you multiply or divide decimals by 10, 100 or 1000?

Why are there zeros at the end of some decimals?

What is a decimal?

Beta

I'm Vulpy, your AI study buddy! Let's study together.