Indices or powers a knowledge of powers, or indices as they are often called, is essential for an understanding of most algebraic processes. These laws only apply to expressions with the same base, for example, 3 4 and 3 2 can be manipulated using the law of indices, but we cannot use the law of indices to manipulate the expressions 4 5 and 9 7 as their base differs their bases are 4 and 9, respectively. Indices usually appear in mathematics as a numerical superscript after a number or variable and are also known as powers or exponents. Laws of indices retention of knowledge skill 1 laws of indices 1. A detailed practice sheet for indices only the first 4 laws. Expand the following boxes for the laws of indices. Indices multiplication,division,powers,reciprocals,roots many worked examples of each type. These laws are very important when multiplying and diving powers as well as when using them in algebraic expressions. I taught an introductory lesson on index laws recently i wrote these. So positive integers and, and rational numbers and, we have. Laws of indices now that you are quite familiar with indices, you are ready to move on the the laws of indices. Powers and indices made easy gcse maths revision video duration. In this section of text you will learn about powers and rules for manipulating them through a number of worked examples.
Indices worksheet differentiated teaching resources. There are three rules that should be used when working with indices. Convert the following numbers from standard form to the normal decimal format. Quick reference information therefore, certain categories.
Indices or powers mctyindicespowers20091 a knowledge of powers, or indices as they are often called, is essential for an understanding of most algebraic processes. Example questions given with full solutions and an opportunity to practise your skills. Pencil, pen, ruler, protractor, pair of compasses and eraser you may use tracing paper if needed guidance 1. Without a calculator, use the laws of indices to help you evaluate the following. Laws of indices this worksheet has questions about the laws of indices. To manipulate math expressions, we can consider using the law of indices. Covers laws of indices including fractional and negative indices, solving.
This worksheet has questions about the laws of indices. The laws of indices introduction a power, or an index, is used to write a product of numbers very compactly. Maths made easy complete tuition ltd 2017 rules of indices powers 1. Download six rules of the law of indices in pdf math tables. One a4 page knowledge organiser including needtoknow facts, keywords, exam question, mathswatch clip numbers, worksheet links and curriculum flowchart. The corbettmaths video tutorial on laws of indices algebra. Index help to write a product of numbers very compactly. These laws only apply to expression with the same base. Indices practice questions evaluate the following expressions without your calculator. Watch this mini revision video on laws of indices and have a go at the practice questions. Literacy laws of indices memory laws of indices retention. In this leaflet we remind you of how this is done, and state a number of rules, or laws, which can be used to simplify expressions involving indices. Laws of indices this guide describes how to work with and manipulate the laws of indices in mathematics.
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