Subjects mathematics

True False Statements

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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