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- Maths and statistics
- Algebra
- Algebra
Let's combine your knowledge of fractions and algebra, and learn how to add and subtract algebraic fractions. By learning to find common denominators and simplify expressions, you'll enhance your ability to work with complex algebraic fractions, a skill crucial for solving equations and tackling advanced mathematical challenges. Video tutorial –...
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- Maths and statistics
- Algebra
Algebra focuses on understanding and manipulating mathematical symbols and expressions. Here, you'll explore key techniques such as simplification, factorisation, and rearranging formulas, which are essential for solving equations and understanding mathematical relationships. Algebraic operations Algebraic substitution Expansion Factorisation Adding and subtracting algebraic fractions Multiplying and dividing algebraic fractions Transposing formulas...
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- Maths and statistics
- Algebra
- Algebra
Algebraic operations are critical to many fields of study. In science, they are used to calculate forces to accelerate a car or determine the rate of a chemical reaction. In engineering, they can be used to design safe and efficient systems. They also underpin algorithms and data structures, which are...
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- Maths and statistics
- Numbers and measurement
Arithmetic forms the foundation of mathematics, focusing on the basic operations and properties of numbers. You need arithmetic to perform calculations and solve everyday problems. Use this resource to enhance your numerical skills. Numbers Fractions Decimals Percentages...
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- Maths and statistics
- Numbers and measurement
- Arithmetic
Decimals are used to express fractions in a more precise and easily understandable form. They are essential for handling money, measuring quantities, and applying mathematical concepts in everyday life and various professional fields. Use this resource to learn how to add, subtract, multiply, divide and convert decimals. A decimal is...
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- Maths and statistics
- Algebra
- Algebra
Brackets often appear in algebraic expressions and equations, but what do you do with them? Whatever is around the brackets affects everything inside the brackets, and being able to remove them helps set the stage for solving equations. The process of doing this is called expansion. Brackets in algebra Brackets...
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- Maths and statistics
- Numbers and measurement
- Arithmetic
Mastering fractions is crucial for tackling a wide range of mathematical problems. The skill is applicable to a huge range of real-world contexts, from cooking and construction to science and finance. Use this resource to learn how to simplify, add, subtract, multiply and divide fractions. A fraction is the easiest...
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- Maths and statistics
- Numbers and measurement
Measurement forms the basis of many practical applications in STEM fields. Use this resource to develop a solid understanding of fundamental measurement concepts. Working through these pages will equip you with the skills you need for further exploration in science, technology, engineering, and mathematics. Units and conversions Dimensions Notation...
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- Maths and statistics
- Algebra
- Algebra
Let's build on your understanding of basic fraction operations and algebraic expressions by looking at multiplying and dividing algebraic fractions. By mastering these skills, you'll be able to simplify and manipulate complex fractions, which is essential for solving more advanced equations and applying algebra to a variety of contexts. Video...
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- Maths and statistics
- Numbers and measurement
- Arithmetic
Learn the basics for working with integers, including negative numbers. Numerical reasoning skills you will learn here are very fundamental to maths; you will apply them to everything from everyday situations to more complex mathematical challenges. Integers Counting or whole numbers, also known as integers, can be used in many...
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- Maths and statistics
- Algebra
- Algebra
Partial fractions are used to simplify more complex algebraic fractions into simpler components. The ability to find partial fractions is used widely in calculus, like when solving problems involving Laplace transforms in engineering, analysing frequency response in electronics, and simplifying expressions in mathematical models. Use this resource to learn to...
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- Maths and statistics
- Numbers and measurement
- Arithmetic
Percentages are a powerful tool for expressing proportions, comparisons and changes. Learn how to convert fractions and decimals into percentages using this resource. This will enhance your ability to interpret data and make informed decisions when faced with quantities. A percentage is another way to express a part of a...
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- Maths and statistics
- Algebra
- Algebra
Let's take a look at algebraic fractions where the denominator is a quadratic expression. Such fractions are common in mathematics and engineering. Before you continue with the content on this page, it is important that you are confident about identifying common factors, factorising quadratics using common factors and the difference...
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- Maths and statistics
- Algebra
- Algebra
The transposition of formulas involves rearranging equations to solve for a specific pronumeral or variable. You need to be able to first isolate your desired variable in order to solve problems various fields. Mastering transposition will enhance your ability to manipulate and understand mathematical relationships effectively. Video tutorial – transposition...
