This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Evaluate sqrt(16). sqrt(16) = 4 Step 2: Classify the number 4 based on the definitions of number systems. • Natural Numbers (N): 1, 2, 3, ... (Yes, 4 is a natural number) • Whole Numbers (W): 0, 1, 2, 3, ... (Yes, 4 is a whole number) • Integers (Z): ..., -3, -2, -1, 0, 1, 2, 3, ... (Yes, 4 is an integer) • Rational Numbers (Q): Numbers that can be expressed as (p)/(q) where p, q are integers and q ≠ 0. (Yes, 4 = (4)/(1), so 4 is a rational number) • Irrational Numbers: Numbers that cannot be expressed as a simple fraction. (No, 4 is not irrational) • Real Numbers (R): Includes all rational and irrational numbers. (Yes, 4 is a real number) The number sqrt(16) belongs to the set of Natural Numbers, Whole Numbers, Integers, Rational Numbers, and Real Numbers. The most specific classification is a Natural Number. Step 3: Classify the number -(7)/(3). • Natural Numbers (N): No, it is negative and a fraction. • Whole Numbers (W): No. • Integers (Z): No, it is a fraction. • Rational Numbers (Q): Yes, it is in the form (p)/(q) where p=-7 and q=3 are integers and q ≠ 0. • Irrational Numbers: No, it is rational. • Real Numbers (R): Yes, all rational numbers are real numbers. The number -(7)/(3) belongs to the set of Rational Numbers and Real Numbers. The most specific classification is a Rational Number. a) The number system for sqrt(16) is a Natural Number. b) The term "Prassic ramed" is unclear and cannot be classified. c) The classification of -(7)/(3) is a Rational Number. What's next? Send 'em! 📸