Final answer:
The numbers 1/2, 0.005, 0.1, and 0.01 arranged from smallest to largest are 0.005, 0.01, 0.1, 1/2 (0.5), with 0.005 being the smallest and 1/2 (or 0.5) being the largest.
Step-by-step explanation:
To arrange the numbers 1/2, 0.005, 0.1, and 0.01 from smallest to largest, we need to compare their values. The given numbers can be easier to compare if we consider their decimal equivalents. Here are the numbers with their decimal equivalents: 1/2 = 0.5, 0.005 remains 0.005, 0.1 remains 0.1, 0.01 remains 0.01. Now it is easy to see which is smallest and which is largest. Arranging them, we get 0.005, 0.01, 0.1, 1/2 (0.5). As a result, the number 0.005 is the smallest, and 1/2 (0.5) is the largest. The numbers in between increase in value as listed.