QUESTION 1 [Properties of Numbers] |7| 1.1 From the lise of numbers: \( -3: \frac{3}{4}: \sqrt{2}: \sqrt{9}: 0: 2: \sqrt{-4} \cdot \) write down all the 1.1.1 Natural numbers 1.1.1 whole numbers 1.1.3 integers 1.1.4 rational numbers 1.1.5 irrational numbers 1.2 Between which two positive integers do the following irrational number lies? (2)

Let's first have a little fun with numbers before diving into our categories: the list you've provided is quite an intriguing mix! As for natural numbers, these start from 1 and go up, meaning there are none in your list. Whole numbers include all natural numbers plus 0, so we find only 0 and 2. Now onto integers, where we can see -3, 0, and 2 fitting nicely. Rational numbers are fractions and integers, so \(-3, \frac{3}{4}, 0, 2\) qualify, while irrational numbers include anything that can't be expressed as a simple fraction—like \(\sqrt{2}\) (because that won't end or repeat) and \(\sqrt{-4}\), which is imaginary, thus not a rational concern! Also, the number \(\sqrt{2}\) lies between the positive integers 1 and 2! There you go—an enjoyable stroll through the land of numbers.