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Standard Form Calculator
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Standard Form is also known as Scientific Notation or Exponential Notation, is a method of writing numbers that accommodates value excessively large or small to be suitably written in Standard Decimal Notation. In scientific notation or standard notation all numbers are written like this:
Standard Form Calculator
where a is the coefficient
10 is the base
n is the exponent or power.
 
Standard Form Calculator or Standard Notation Calculator is used to convert the standard form into normal number notation and vice-verse. Hence it is also known as standard form converter or standard notation converter as it convert in standard form. It is a easy tool to get a standard form so its acts as standard form solver or standard form calculator online.
 

Steps for Standard Form Calculator

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Step 1 :  

Observe the given standard from or standard notation(coefficient, base and exponent).



Step 2 :  

$\Rightarrow$ To convert standard form into number, multiply the coefficient with a given exponent to the base 10.


$\Rightarrow$ To convert from number into standard form, place from the right to left decimal following the first digit and drops then zeroes. To find the scientific notation count the number of places to the number from the number of zeros and decimal to the end of the number.



Standard Form Calculator Example

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  1. Convert 45000 in to standard form?


    Step 1 :  

    Given number = 45000



    Step 2 :  

    In 45000, there are 3 places, therefore we write 45000 in standard notation as:


    4.5 x 104



    Answer  :  

    4.5 x 104



  2. Convert 5.6 x 105 in number.


    Step 1 :  

    Given standard form: 5.6 x 105



    Step 2 :  

    To convert 5.6 x 105 into number, we need to multiply it.


    5.6 x 105 = 560000



    Answer  :  

    560000



  3. A businessman invested 960000000000000 dollars in a software company and 20000000000000 dollars in a hardware company. Calculate his total investment and write the amount in standard form?


    Step 1 :  

    The total investment of a business man = 960000000000000 + 260000000000000 = 980000000000000



    Step 2 :  

    The number 980000000000000 is written as 98 x 10$^{13}$.
    Or put the decimal after the first digit and count the number of places from the decimal to the end of the number.
    i.e. 9.8 x 10$^{14}$



    Answer  :  

    Therefore we write 980000000000000 as 9.8 x 10$^{14}$.



  4. Sujen borrowed some money from a bank at 12 % per year for her education. After 6 months, she paid 180000 dollars as an interest. How much money she borrowed from the bank? Write the number in the standard form.


    Step 1 :  

    Rate (R) = 12 %
    Time (T) = 6 months = $\frac{1}{2}$ year
    Interest (I) = 180000 dollars
    Apply formula to calculate the amount.
    I = PRT
    180000 = P $\times$ 12 % $\times$ $\frac{1}{2}$
    180000 = 0.06P
    or P = 3000000
    She borrowed 3000000 dollars.



    Step 2 :  

    In standard form 3000000 can be written as 3 $\times$ 10$^6$.



    Answer  :  

    3 $\times$ 10$^6$



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