Question

7x10 to the 3-8.20x10x10

Answer 1

To solve the expression \( 7 \times 10^{3} - 8.20 \times 10^{10} \), you first need to ensure the terms are in the same power of ten. Since \( 10^{10} \) is much larger than \( 10^{3} \), it's easiest to express \( 7 \times 10^{3} \) in terms of \( 10^{10} \).

Convert \( 7 \times 10^{3} \) to have the same exponent as \( 10^{10} \):

\[
7 \times 10^{3} = 7 \times 10^{3} \times \frac{10^{7}}{10^{7}} = 7 \times 10^{10} \times 10^{-7} = 0.0007 \times 10^{10}
\]

Now, rewrite the original expression:
\[
0.0007 \times 10^{10} - 8.20 \times 10^{10}
\]

Both terms can now be combined:
\[
(0.0007 - 8.20) \times 10^{10} = (-8.1993) \times 10^{10}
\]

So, the final result is:
\[
-8.1993 \times 10^{10}
\]