Final answer:
The numbers in correct order from smallest to largest are: 0.75%, 0.075, and 3/4. They must be converted to the same form to compare them correctly, as percentages must be turned into decimals, or vice versa.
Step-by-step explanation:
The correct order of the numbers 0.075, 0.75%, and 3/4, when arranged from smallest to largest, is as follows:
- 0.75% - This is equivalent to 0.0075 in decimal form.
- 0.075 - As a decimal, this is the second smallest number.
- 3/4 - This fraction is equal to 0.75, which is the largest number among the three.
It is important to convert percentages to decimal form to compare them correctly with other decimals and fractions. The fraction 3/4 is equal to 75%, which when converted to decimal becomes 0.75. Thus, 0.75% as a decimal is the smallest, followed by 0.075, and finally, the fraction 3/4 is the largest. When comparing numbers, ensure all are in the same form, either as fractions, decimals, or percentages.