1.95x10^6-4.82x10^12

1 answer

To perform the subtraction \( 1.95 \times 10^6 - 4.82 \times 10^{12} \), it's helpful to express both numbers in a common exponent.

Since \( 4.82 \times 10^{12} \) is much larger than \( 1.95 \times 10^6 \), we can express \( 1.95 \times 10^6 \) in terms of \( 10^{12} \):

\[ 1.95 \times 10^6 = 1.95 \times 10^6 \times \frac{10^6}{10^6} = 1.95 \times \frac{10^{12}}{10^6} = 0.00000195 \times 10^{12} \]

Now, we can perform the subtraction:

\[ 0.00000195 \times 10^{12} - 4.82 \times 10^{12} = (-4.82 + 0.00000195) \times 10^{12} = -4.81999805 \times 10^{12} \]

Thus, the result of the calculation is:

\[ -4.81999805 \times 10^{12} \]

In scientific notation, this can also be written as:

\[ -4.82 \times 10^{12} \quad (\text{to three significant figures}) \]