Step 1: Write both numbers in scientific notation. For more information, use the SN Converter.

$$ 2.5\cdot 10^{4} = 2.5\cdot 10^{4} $$$$ 5\cdot 10^{-7} = 5\cdot 10^{-7} $$

Step 2: Multiply the numeric parts. Note that in intermediate calculations, we need 6 significant digits.

$$ 2.5 \cdot 5 \approx 12.5 $$

Step 3: Multiply $10^{ 4 }$ by $10^{ -7 }$:

$$ 10^{ 4 } \cdot 10^{ -7 } = 10^{ 4-7 } = 10^{ -3 } $$

Step 4: Write the solution as the product of the numbers obtained in steps two and three.

$$ 12.5 \cdot 10^{ -3 } $$

Step 5: Number 12.5 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.

$$ 1.25 \cdot 10^{ -2 } $$

Step 6: The decimal solution is. Use the SN Converter for more information.

0.0125

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