Question
Divide $ 3\cdot 10^{8} $ by $ 280\cdot 10^{-9} $.
Answer
$$ \dfrac{ 3\cdot 10^{8} }{ 280\cdot 10^{-9} } = 1.07143\cdot 10^{15} $$
Explanation
Step 1: Write both numbers in scientific notation. For more information, use the SN Converter.
$$ 3\cdot 10^{8} = 3\cdot 10^{8} $$$$ 280\cdot 10^{-9} = 2.8\cdot 10^{-7} $$Step 2: Divide the numeric parts. Note that in intermediate calculations, we need 6 significant digits.
$$ \frac{ 3 }{ 2.8 } \approx 1.07143 $$Step 3: Divide $10^{ 8 }$ by $10^{ -7 }$:
$$ \frac{ 10^{ 8 } }{ 10^{ -7 } } = 10^{ 8 - ( -7 ) } = 10^{ 15 } $$Step 4: Write the solution as the product of the numbers obtained in steps two and three.
$$ 1.07143 \cdot 10^{ 15 } $$This page was created using
Scientific notation Calculator