Question
Multiply $ 1.23\cdot 10^{7} $ by $ 3.45\cdot 10^{2} $.
Answer
$$ 1.23\cdot 10^{7} \times 3.45\cdot 10^{2} = 4.2435\cdot 10^{9} $$
Explanation
Step 1: Write both numbers in scientific notation. For more information, use the SN Converter.
$$ 1.23\cdot 10^{7} = 1.23\cdot 10^{7} $$$$ 3.45\cdot 10^{2} = 3.45\cdot 10^{2} $$Step 2: Multiply the numeric parts. Note that in intermediate calculations, we need 6 significant digits.
$$ 1.23 \cdot 3.45 \approx 4.2435 $$Step 3: Multiply $10^{ 7 }$ by $10^{ 2 }$:
$$ 10^{ 7 } \cdot 10^{ 2 } = 10^{ 7+2 } = 10^{ 9 } $$Step 4: Write the solution as the product of the numbers obtained in steps two and three.
$$ 4.2435 \cdot 10^{ 9 } $$This page was created using
Scientific notation Calculator