To solve the expression [tex]\( 45.6 \times 10^2 - 47.7 \times 10^3 \)[/tex], let's break it down step-by-step.
1. First, evaluate the term [tex]\( 45.6 \times 10^2 \)[/tex]:
[tex]\[
45.6 \times 10^2 = 45.6 \times 100 = 4560.0
\][/tex]
2. Next, evaluate the term [tex]\( 47.7 \times 10^3 \)[/tex]:
[tex]\[
47.7 \times 10^3 = 47.7 \times 1000 = 47700.0
\][/tex]
3. Now, subtract the second term from the first term:
[tex]\[
4560.0 - 47700.0 = -43140.0
\][/tex]
So, the value of the expression [tex]\( 45.6 \times 10^2 - 47.7 \times 10^3 \)[/tex] is [tex]\(-43140.0\)[/tex].
