Step 1: Write both numbers in scientific notation. For more information, use the SN Converter.
$$ 5\cdot 10^{1125} = 5\cdot 10^{1125} $$$$ 2.67\cdot 10^{10} = 2.67\cdot 10^{10} $$Step 2: Multiply the numeric parts. Note that in intermediate calculations, we need 6 significant digits.
$$ 5 \cdot 2.67 \approx 13.35 $$Step 3: Multiply $10^{ 1125 }$ by $10^{ 10 }$:
$$ 10^{ 1125 } \cdot 10^{ 10 } = 10^{ 1125+10 } = 10^{ 1135 } $$Step 4: Write the solution as the product of the numbers obtained in steps two and three.
$$ 13.35 \cdot 10^{ 1135 } $$Step 5: Number 13.35 is larger than 10.
To fix this, we need to move the decimal point one place to the left and add 1 to the exponent.