# Use of Numbers

## Use of Numbers

# Understanding Numbers

- Familiarize yourself with different types of numbers:
**natural numbers**,**integers**,**rational numbers**,**irrational numbers**and**real numbers**. Know how they relate and differ from each other. - Understand the
**place value**of numbers: units, tens, hundreds, thousands and so on, and their equivalents in decimal places. - Be sure to grasp the concept of
**even and odd numbers**, and understand their properties.

# Numerical Operations

- Master the four basic operations:
**addition**,**subtraction**,**multiplication**and**division**. - Understand the use of
**brackets**, particularly the BIDMAS rule (Brackets, Indices, Division and Multiplication, Addition and Subtraction) to solve numerical expressions. - Get to grips with the concept of
**indices**, including negative and fractional indices.

# Fractions and Decimals

- Understand how to
**convert between fractions, decimals, and percentages**. - Know how to add, subtract, multiply and divide both fractions and decimals confidently.
- Learn the different between
**reciprocal fractions**and how to calculate them, and the method for**simplifying fractions**.

# Ratio and Proportion

- Grasp the concept of
**ratio**and understand its role in comparative quantities. - Know how to
**divide a given quantity into a certain ratio**. - Comprehend the principle of proportionality and how it relates to real-world situations.

# Powers and Roots

- Understand the laws of
**indices**and how they are utilised in calculations. - Be comfortable with working square roots, cube roots, and other roots.
- Comprehend how to calculate with both real and fractional
**powers**.

# Surds

- Fully understand what
**surds**are and know how to simplify and manipulate them accurately. - Know how to
**add, subtract, multiply, and divide surds**, maintaining their simplest form.

# Percentages

- Understand how to
**calculate percentages**and how they are used in real-world situations. - Learn the links between decimals, fractions and percentages and be able to convert between them.

# Practice, practise, practise

- Active practise is essential. Use past papers, online quizzes, worksheets and textbook exercises to reinforce concepts and skills.
- Work in depth on areas you find difficult.