Final answer:
The numbers 5/10, 50/100, 0.5, and 0.50 all represent the same number, which is one-half. They are just different ways to express the same fraction or decimal value.
Step-by-step explanation:
Yes, the numbers 5/10, 50/100, 0.5, and 0.50 all represent the same number. When we convert these numbers, they all simplify down to one-half. 5/10 can be simplified by dividing both the numerator (5) and the denominator (10) by 5, which gives us 1/2. The fraction 50/100 is simplified by dividing both 50 and 100 by 50, which also results in 1/2. The decimal 0.5 is equivalent to 5 tenths, which again is 1/2. And adding a zero at the end of a decimal does not change its value, so 0.50 is also equal to 0.5 and therefore 1/2.
This concept is similar to understanding relative frequency and percentages, where different representations of numbers still reflect the same value or proportion. For instance, 50% is another equivalent way to express the number 1/2, as 50 is half of 100, just as 0.5 is half of 1.