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

$$ 450\cdot 10^{-2} = 450\cdot 10^{-2} $$$$ 1 = 1 $$

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

$$ 450 \cdot 1 \approx 450 $$

Step 3: Multiply $10^{ -2 }$ by $10^{ 0 }$:

$$ 10^{ -2 } \cdot 10^{ 0 } = 10^{ -2+0 } = 10^{ -2 } $$

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

$$ 450 \cdot 10^{ -2 } $$

Step 5: Number 450 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.

$$ 4.50 \cdot 10^{ -1 } $$

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