To represent the given expression as a decimal number, let's break down each term and simplify the expression step-by-step.
1. Start with the first term:
[tex]\[
9 \times 100 = 900
\][/tex]
2. Move to the second term:
[tex]\[
8 \times 10 = 80
\][/tex]
3. Now, handle the third term. First, simplify the fraction inside:
[tex]\[
\frac{1}{100} = 0.01
\][/tex]
Then, multiply it by 7:
[tex]\[
7 \times 0.01 = 0.07
\][/tex]
4. Now, add all the simplified terms together:
[tex]\[
900 + 80 + 0.07
\][/tex]
Let's add them step by step:
[tex]\[
900 + 80 = 980
\][/tex]
Finally, add the remaining term:
[tex]\[
980 + 0.07 = 980.07
\][/tex]
Thus, the decimal representation of the given expression is:
[tex]\[
\boxed{980.07}
\][/tex]
