Scientific notation calculator

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:

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