subtract 4.66x10^-5-7.34x10^7

1 answer

To subtract \(4.66 \times 10^{-5}\) and \(7.34 \times 10^{7}\), you need to express both numbers in the same format.

The number \(4.66 \times 10^{-5}\) is a small number, while \(7.34 \times 10^{7}\) is much larger. Therefore, in this case, we can recognize that subtracting a very small number from a very large number results effectively in the larger number itself.

Mathematically, the operation can be outlined as follows:

\[ 4.66 \times 10^{-5} - 7.34 \times 10^{7} \approx -7.34 \times 10^{7} \]

If you attempt to calculate this explicitly, you would write:

\[ 4.66 \times 10^{-5} \approx 0.0000466 \] \[ 7.34 \times 10^{7} \approx 73400000 \]

Thus,

\[ 0.0000466 - 73400000 \approx -73400000 \]

So the final result of \(4.66 \times 10^{-5} - 7.34 \times 10^{7}\) is approximately:

\[ \boxed{-7.34 \times 10^{7}} \]