What is the best sequence of names to identify this set of numbers?

(1 3/5,-10, 0.51(the one is repeating), TT,17)
1.(rational,integer,irrational,irrational,natural)
2. (rational,irrational,rational, irrational, whole)
3.rational,real,rational,real, natural)
4. (real,integer, irrational,irrational,natural)

Off the bat I got rid of choices 2 and 3.
I picked choice#1 since a rational number is more specific and a real number can be rational or irrational.
Is this correct?
If I am not correct is there a website to hook me up with to explain the responses
Thank you

To determine the best sequence of names to identify the given set of numbers (1 3/5, -10, 0.51 (repeating), TT, 17), we can analyze the types of numbers present in the set.

1. (rational, integer, irrational, irrational, natural):
- The number 1 3/5 is a rational number because it can be expressed as a fraction.
- The number -10 is an integer because it is a whole number and can be negative.
- The number 0.51 (repeating) is irrational because it cannot be expressed as a fraction and has a non-terminating decimal.
- TT is undefined in this context and cannot be categorized.
- The number 17 is a natural number because it is a positive whole number.

2. (rational, irrational, rational, irrational, whole):
- The number 1 3/5 is a rational number.
- The number -10 is irrational because it cannot be expressed as a fraction.
- The number 0.51 (repeating) is a rational number.
- TT is undefined in this context and cannot be categorized.
- The number 17 is a whole number.

3. (rational, real, rational, real, natural):
- The number 1 3/5 is a rational number.
- The number -10 is a real number.
- The number 0.51 (repeating) is a rational number.
- TT is undefined in this context and cannot be categorized.
- The number 17 is a natural number.

4. (real, integer, irrational, irrational, natural):
- The number 1 3/5 is a real number.
- The number -10 is an integer.
- The number 0.51 (repeating) is irrational.
- TT is undefined in this context and cannot be categorized.
- The number 17 is a natural number.

Based on the information given, choice #1, (rational, integer, irrational, irrational, natural), seems to be the most accurate sequence of names to identify the set of numbers.

If you would like further clarification or a more detailed explanation, you can seek additional resources such as math textbooks or educational websites like Khan Academy or Math is Fun. These platforms provide explanations, examples, and exercises to enhance your understanding of mathematics.