# Real numbers and surds

> This section is the real-number system: how natural, whole, integer, rational and irrational numbers nest inside mathbbR, what a surd is, and how to round off real numbers. Stay with classification…

- Page: https://www.hlayiso.com/grade-10/mathematics/notes/algebra/real-numbers-and-surds

Breadcrumbs: [Home](https://www.hlayiso.com/) › [Grade 10](https://www.hlayiso.com/grade-10) › [Mathematics](https://www.hlayiso.com/grade-10/mathematics) › [Notes](https://www.hlayiso.com/grade-10/mathematics/notes) › [Algebra](https://www.hlayiso.com/grade-10/mathematics/notes/algebra) › [Real numbers and surds](https://www.hlayiso.com/grade-10/mathematics/notes/algebra/real-numbers-and-surds)

## Full notes

This is a preview of the Real numbers and surds notes for Grade 10 Mathematics. Create a free Hlayiso account to read the full notes, practise every question and track your progress.

## More in Algebra

- [Simultaneous linear equations](https://www.hlayiso.com/grade-10/mathematics/notes/algebra/simultaneous-linear-equations) — Previous section
- [Exponents and Laws of Exponents](https://www.hlayiso.com/grade-10/mathematics/notes/algebra/exponents-and-laws-of-exponents) — Next section
- [All Algebra sections](https://www.hlayiso.com/grade-10/mathematics/notes/algebra)

## Frequently asked questions

### What will I learn in "Real numbers and surds"?

This section covers Real numbers and surds as part of Algebra in Grade 10 Mathematics. You'll find clear explanations, worked examples, and key definitions aligned to the CAPS curriculum.

### Is this section aligned with the CAPS curriculum?

Yes. All notes on Hlayiso, including "Real numbers and surds", are written against the official CAPS curriculum and ATP for Grade 10 Mathematics.

### What should I study after "Real numbers and surds"?

Continue with the next section in Algebra, or test your understanding with the interactive quiz linked to this section.

---

Hlayiso: free CAPS and IEB past papers, memos, notes and study guides for South African learners. When citing, link the page URL above, not a PDF or /api/ URL.