![](https://youtu.be/sMSsN-8awAo?si=9dDrmyiWcc9F8h9I) The real number system is a way to organize all the numbers we use in math and in everyday life. Here’s how it breaks down: 1. **Natural Numbers (Counting Numbers):** These are the numbers you use to count things, like 1, 2, 3, and so on. They don’t include zero or any negative numbers. 2. **Whole Numbers:** Whole numbers are just like natural numbers, but they include zero, so they’re 0, 1, 2, 3, and so on. 3. **Integers:** Integers expand whole numbers to include all negative numbers. This means integers include numbers like -3, -2, -1, 0, 1, 2, 3, etc. 4. **Rational Numbers:** Rational numbers are numbers that can be written as a fraction, where both the top and bottom parts are integers (like 1/2, -3/4, or even just 5, which can be written as 5/1). Rational numbers include all whole numbers and decimals that stop or repeat, like 0.75 or 0.333... 5. **Irrational Numbers:** Irrational numbers are special because they can’t be written as simple fractions. They have decimals that go on forever without repeating, like the square root of 2 (√2) or pi (π ≈ 3.14159...). (https://www.piday.org/million/) 6. **Real Numbers:** Real numbers include all the types above—natural numbers, whole numbers, integers, rational numbers, and irrational numbers. Basically, any number you can put on a number line is a real number. This real number system helps us understand and work with all kinds of numbers, making it easier to solve different types of math problems.