True False Statements
1. **Problem 2.1:** Determine if the statement "In a right-angled triangle, the hypotenuse is the longest side and is opposite to the right angle" is True or False.
- In a right-angled triangle, the hypotenuse is defined as the side opposite the right angle.
- By the Pythagorean theorem, the hypotenuse is always the longest side.
- Therefore, the statement is **True**.
2. **Problem 2.2:** Determine if the statement "Natural numbers are part of the number system which includes all the positive integers from zero (0) till infinity" is True or False.
- Natural numbers traditionally start from 1 and go to infinity: 1, 2, 3, ...
- Some definitions include zero as a natural number, but the statement says "from zero till infinity" which implies zero is included.
- Since zero is not a positive integer, the statement is **False** because natural numbers do not include zero if defined as positive integers.
3. **Problem 2.5:** Determine if the statement "The result of dividing one number by another is called the quotient" is True or False.
- By definition, when you divide one number by another, the result is called the quotient.
- Therefore, the statement is **True**.
**Final answers:**
- Problem 2.1: True
- Problem 2.2: False
- Problem 2.5: True