1. Let's start with the very basics of mathematics: numbers and simple operations. 2. Numbers are symbols we use to count, measure, and label things. The most basic numbers are called natural numbers: $1, 2, 3, 4, \dots$ 3. The simplest operations with numbers are addition (+), subtraction (−), multiplication (×), and division (÷). 4. Addition means putting things together. For example, $2 + 3$ means you have 2 things and add 3 more, so you get $5$. 5. Subtraction means taking away. For example, $5 - 2$ means you have 5 things and take away 2, so you have $3$ left. 6. Multiplication means repeated addition. For example, $3 \times 4$ means you add 3 four times: $3 + 3 + 3 + 3 = 12$. 7. Division means splitting into equal parts. For example, $12 \div 4$ means splitting 12 things into 4 equal groups, each group has $3$. 8. Important rules to remember: - Addition and multiplication are commutative: $a + b = b + a$ and $a \times b = b \times a$. - Subtraction and division are not commutative. - Multiplication distributes over addition: $a \times (b + c) = a \times b + a \times c$. 9. Let's do a simple example: Calculate $2 + 3 \times 4$. 10. According to the order of operations, multiplication comes before addition. 11. So first calculate $3 \times 4 = 12$. 12. Then add $2 + 12 = 14$. 13. So, $2 + 3 \times 4 = 14$. This is the foundation of math. We will build on this step by step, making sure each concept is clear and easy to understand.