- Reminder of Fundamentals

- Advanced Arithmetics

- Introduction to Geometry

- In-depth Geometry

- Deeper into Numbers

- Further into Algebra

- Elementary Statistics & Probability

- Advanced Statistics, Probability

- Mathematical Logic

- Calculus

- Calculus

- Trigonometry I

- Trigonometry II & Conclusion

Elementary branch of mathematics.

Arithmetic is the branch of mathematics that deals with numbers and the basic operations used to manipulate them: addition, subtraction, multiplication, and division. It forms the foundation of almost all fields of mathematics. This unit will provide a refresher on these fundamental concepts.

The number system is a way to represent and organize numbers. In the most basic sense, we use the decimal number system, also known as base-10. This system uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The position of each digit in a number determines its actual value, also known as its place value.

Addition is the process of combining quantities. The symbol '+' is used to denote addition. For example, in the equation 3 + 2 = 5, 3 and 2 are the quantities being added together, and 5 is the sum.

Subtraction is the process of taking one quantity away from another. The symbol '-' is used to denote subtraction. For example, in the equation 5 - 2 = 3, 5 is the original quantity, 2 is the quantity being taken away, and 3 is the difference.

There are several fundamental properties of numbers that apply to the basic arithmetic operations:

**Commutative Property:**The order in which numbers are added or multiplied does not change the sum or product. For example, 2 + 3 = 3 + 2 and 2 * 3 = 3 * 2.**Associative Property:**The way in which numbers are grouped in addition or multiplication does not change the sum or product. For example, (2 + 3) + 4 = 2 + (3 + 4) and (2 * 3) * 4 = 2 * (3 * 4).**Distributive Property:**The product of a number and a sum is equal to the sum of the products of the number and each addend. For example, 2 * (3 + 4) = (2 * 3) + (2 * 4).

Place value is a system for representing numbers where the position of a digit determines its value. In the decimal number system, each position represents a power of 10. For example, in the number 345, the digit 3 is in the hundreds place (10^2), the digit 4 is in the tens place (10^1), and the digit 5 is in the ones place (10^0).

Understanding basic arithmetic is crucial for grasping more complex mathematical concepts. It forms the foundation upon which all other mathematics is built.

Test me

Practical exercise

Further reading

Good morning my good sir, any questions for me?