Scientific notation calculator

This calculator supports multiplication and division numbers in scientific notation. The calculator supports conversion from scientific notation to decimal, and vice versa. The calculator will generate a detailed step-by-step explanation for each operation.

problem

Divide $ 5.2\cdot 10^{21} $ by $ 4\cdot 10^{11} $. Express the result using 10 significant digits.

solution

$$ \frac{ 5.2\cdot 10^{21} }{ 4\cdot 10^{11} } = 1.3\cdot 10^{10} $$

explanation

Step 1. Write entered numbers into the scientific notation. (see SN Converter for detailed explanation)

$$ 5.2\cdot 10^{21} = 5.2\cdot 10^{21} $$$$ 4\cdot 10^{11} = 4\cdot 10^{11} $$

Step 2. Divide numeric parts:

$$ \frac{ 5.2 }{ 4 } = 1.3 $$

Step 3. Divide $10^{ 21 }$ by $10^{ 11 }$:

$$ \frac{ 10^{ 21 } }{ 10^{ 11 } } = 10^{ 21 - 11 } = 10^{ 10 } $$

Step 4. Write the answer as the product of the numbers obtained in steps 2 and 3:

$$ 1.3 \cdot 10^{ 10 } $$

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Script name : scientific-notation-calculator

Form values: 1 , 5.2e21 , 2 , 4e11 , 1 , g ,

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Scientific Notation Converter
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Multiply and divide scientific numbers
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examples
example 1:ex 1:
Write number 73000000 in scientific notation.
example 2:ex 2:
Convert number $ 8.32 \cdot 10^6 $ to decimal notation.
example 3:ex 3:
$$ 2.5 \cdot 10^{12} \, \cdot \, 3.42 \cdot 10^{-7} = $$
example 4:ex 4:
$$ \frac{8.5 \cdot 10^{24}}{2.41 \cdot 10^{18}} = $$
example 5:ex 5:
$$ \frac{3 \cdot 10^{-8}}{5.45 \cdot 10^{-6}} = $$
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