Subtract Numbers in Scientific Notation Quick Check

Subtract 4.66 x 10-5 7.34 x 10-7 (1 point)
2.68 x 102
-4.5866 × 10-5
4.5866 × 10-5
-2.68 x 102

1 answer

To subtract the numbers in scientific notation, we first need to express them with the same exponent if necessary.

The numbers we want to subtract are:

  • \(4.66 \times 10^{-5}\)
  • \(7.34 \times 10^{-7}\)

First, we need to convert \(7.34 \times 10^{-7}\) into the same exponent as \(4.66 \times 10^{-5}\).

To do this, we will express \(7.34 \times 10^{-7}\) with an exponent of \(-5\): \[ 7.34 \times 10^{-7} = 0.0734 \times 10^{-5} \]

Now we can perform the subtraction: \[ 4.66 \times 10^{-5} - 0.0734 \times 10^{-5} = (4.66 - 0.0734) \times 10^{-5} = 4.5866 \times 10^{-5} \]

Therefore, the answer is: \[ \boxed{4.5866 \times 10^{-5}} \]