a. From the list of numbers: \( -3, \frac{3}{4} ; \sqrt{2} ; \sqrt{9} ; 0 ; 2 \) write down all the 1. Naiarai numbers 2. Whole numbers 3. Intigers 4. Rational numbers 5. Irrational numbers 6. Real numbers

Let's analyze the given list of numbers: \( -3, \frac{3}{4}, \sqrt{2}, \sqrt{9}, 0, 2 \). ### 1. Natural Numbers Natural numbers are the set of positive integers starting from 1. - From the list, there are no natural numbers. **Natural Numbers: None** ### 2. Whole Numbers Whole numbers include all natural numbers and zero. - From the list, the whole numbers are: \( 0, 2 \). **Whole Numbers: \( 0, 2 \)** ### 3. Integers Integers include all whole numbers and their negative counterparts. - From the list, the integers are: \( -3, 0, 2 \). **Integers: \( -3, 0, 2 \)** ### 4. Rational Numbers Rational numbers are numbers that can be expressed as a fraction of two integers (where the denominator is not zero). - From the list, the rational numbers are: \( -3, \frac{3}{4}, 0, 2 \) (since \( \sqrt{9} = 3 \) is also rational). **Rational Numbers: \( -3, \frac{3}{4}, 0, 2, 3 \)** ### 5. Irrational Numbers Irrational numbers cannot be expressed as a fraction of two integers. They have non-repeating, non-terminating decimal expansions. - From the list, the irrational number is: \( \sqrt{2} \). **Irrational Numbers: \( \sqrt{2} \)** ### 6. Real Numbers Real numbers include all rational and irrational numbers. - From the list, all numbers are real: \( -3, \frac{3}{4}, \sqrt{2}, \sqrt{9}, 0, 2 \). **Real Numbers: \( -3, \frac{3}{4}, \sqrt{2}, 3, 0, 2 \)** ### Summary 1. Natural Numbers: None 2. Whole Numbers: \( 0, 2 \) 3. Integers: \( -3, 0, 2 \) 4. Rational Numbers: \( -3, \frac{3}{4}, 0, 2, 3 \) 5. Irrational Numbers: \( \sqrt{2} \) 6. Real Numbers: \( -3, \frac{3}{4}, \sqrt{2}, 3, 0, 2 \)