Which of the following represents 75% as a decimal?

To understand why 75% is represented as 0.75 in decimal form, it's crucial to recognize the relationship between percentages and decimals. A percentage is essentially a fraction out of 100. Therefore, 75% can be written as 75 out of 100, which can be expressed mathematically as 75/100.

When you perform the division of 75 by 100, you get 0.75. This decimal form is what is commonly used for mathematical calculations, as it simplifies comparisons and arithmetic operations.

The other options represent different values that do not correspond to 75%. For instance, 0.0075 is significantly smaller than 0.75, 7.5 is ten times larger than 0.75, and 1.5 is also larger than 0.75. Thus, they do not accurately convert 75% into decimal form.