Question
Multiply $ 12\cdot 10^{3} $ by $ 2.15\cdot 10^{-12} $.
Answer
$$ 12\cdot 10^{3} \times 2.15\cdot 10^{-12} = 2.58\cdot 10^{-8} $$
Explanation
Step 1: Write both numbers in scientific notation. For more information, use the SN Converter.
$$ 12\cdot 10^{3} = 1.2\cdot 10^{4} $$$$ 2.15\cdot 10^{-12} = 2.15\cdot 10^{-12} $$Step 2: Multiply the numeric parts. Note that in intermediate calculations, we need 6 significant digits.
$$ 1.2 \cdot 2.15 \approx 2.58 $$Step 3: Multiply $10^{ 4 }$ by $10^{ -12 }$:
$$ 10^{ 4 } \cdot 10^{ -12 } = 10^{ 4-12 } = 10^{ -8 } $$Step 4: Write the solution as the product of the numbers obtained in steps two and three.
$$ 2.58 \cdot 10^{ -8 } $$This page was created using
Scientific notation Calculator