Final answer:
4.5 divided by 0.5 yields 9, and adding 0.1 results in a final answer of 9.1.
Step-by-step explanation:
The question involves the operation of division and addition with decimals. When dividing 4.5 by 0.5, we utilize a concept similar to what happens when we divide a number by powers of 10. Just as 1.9436 divided by 1000 becomes 0.0019436 with the decimal point moved three places to the left, dividing by 0.5, which is a power of 10 (10-1), moves the decimal point to create 9. This concept is useful to understanding how to simplify operations with decimals. After dividing, we add the continuation correction factor of 0.1. Thus, the expression 4.5 divided by 0.5 plus 0.1 becomes 9.1, after performing the division and then the addition.