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Decimal ÷ Pwr of 10

Last modified by
on
Jul 24, 2020, 6:28:07 PM
Created by
on
Dec 7, 2013, 12:03:07 AM
Result=Decimal÷10Power
Decimal Number
Power of Ten
Tags
UUID
10acfbac-444f-11e3-a47b-bc764e049c3d

Enter a decimal number.  For example, you could enter 5476.3.

Enter a power of ten.  For example enter 3 for the 3rd power of 10 :  103

vCalc will divide 5476.3 by 103 and display the result.

5476.3 ÷ 103 = 5.4763

 

[Math | K-12 | Exponentials]

Notes

Dividing by a power of ten moves the decimal place of the answer to the left the same number of places as the exponent of ten.

Dividing by 104 moves the decimal place 4 places to the left.  It's just that simple.

In other words:

IF you divide by ten, which is 101,

   THEN you move the decimal place one place to the left.

IF you divide by 100, which is 102,

   THEN you move the decimal place two places to the left.

 

MORE EXAMPLES 

Imagine a decimal real number that you will divide by powers of ten.  Let's pick the number 5,222,333.44 for an example.  It's just a made-up number.  After you understand these examples, try the same with your own made-up number.

 

Divide 5,222,333.44 by 101.  Ten to the power of one is 10.      

           5,222,333.44 ÷ 10 =     522,233.344

 

Divide 5,222,333.44 by 102.  Ten to the power of two is 100.      

           5,222,333.44 ÷ 100 =    52,223.3344

 

Divide 5,222,333.44 by 103.  Ten to the power of three is 1000.  

           5,222,333.44 ÷ 1000 =    5,222.33344

 

Divide 5,222,333.44 by 104.  Ten to the power of four is 10,000.  

           5,222,333.44 ÷ 10,000 =   522.233344

 

Divide 5,222,333.44 by 104.  Ten to the power of five is 100,000. 

           5,222,333.44 ÷ 100,000 =   52.2233344


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