Some concepts appear at the lower end of gcse higher papers and should only serve as a brief recap. Indices introduction indices, exponents or powers are numbers that tell us how often a number is to be multiplied by itself in a mathematical expression. If b can be expressed as an, then ax an x n, where a. Our worksheets cover the whole breadth of the topic of powers and roots. So multiplied by itself thrice gives 64, and multiplied by itself thrice also gives 64. Indices examples, solutions, videos, worksheets, games.
In this section of text you will learn about powers and rules for manipulating them through a number of worked examples. Fractional indices practice questions corbettmaths. The following diagrams show the rules of indices or laws of indices. Create free worksheets for practicing negative and zero exponents for grades 89 and algebra courses. Summarising the above, we can conclude that example 2. Jan 15, 2018 a worksheet on negative and fractional indices. We add the indices when we multiply two powers of the same number. You understand the three laws of indices and what fractional, negative and the zero index are.
In this section of text you will learn about powers and rules for. Some activities include algebra, others are purely numerical. If the answer is not exact give the decimal approximation to two decimal places. To multiply when two bases are the same, write the base and add the exponents. This leads to the generalisation that meaning x power of onen is equal to. In other words, the expressions have index or indices in fraction form. Literacy activities find a word study stack quizlet crossword fill in the blanks. The corbettmaths video tutorial on negative indices. Covers laws of indices including fractional and negative indices, solving.
This website and its content is subject to our terms and conditions. Negative and fractional indices worksheet with solutions. So we can conclude that meaning x power of onethird is equal to the cube root of x. Indices materials required for examination items included with question papers ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser. Math worksheets indices and logarithms in this page you will find interactive on the following topics. Indices c1 edexcel january 20 q2 maths past paper question youtube video.
Fractions indices free download as powerpoint presentation. Junior cert higher revision key skills worksheet mr. The corbettmaths video tutorial on fractional indices. May 14, 2017 source stivomaths also fractional powers worksheet. Fractional indices mega activity pack please login this pack includes several matching activities, dominoes, a find the power worksheet and a short assessment. As well as cracking the distinctly advantageous aspects of exponents, a unique math shorthand used to denote repeated multiplication, students gain an indepth knowledge of parts of an exponential notation, converting an expression with exponents to a. Pencil, pen, ruler, protractor, pair of compasses and eraser you may use tracing paper if needed guidance 1. Indices 2 lesson 4 gcse to a level bridging course second video on indices looking at a power to a power and the zero power.
An interactive maths worksheet to practice negative and fractional indices. Rational fractional indices in the next video you are shown how to work with rational fractional indices. You also need to understand what fractional, negative and zero indices are and how to work with them. Without a calculator, use the laws of indices to help you evaluate the following. Mathematics linear 1ma0 fractional and negative indices materials required for examination items included with question papers ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser. Negative indices you should be pretty confident with simple numerical indices by now. Lets now look at 64 we can express the above expression also as 64. Indian dental academy leader in continuing dental education 2. Mathematics linear 1ma0 fractional and negative indices. Now continue with your maths revision and follow the following link. Fractions indices fraction mathematics multiplication. Indices or powers mctyindicespowers20091 a knowledge of powers, or indices as they are often called, is essential for an understanding of most algebraic processes. The following activities could be used to help students develop multiple representations of fractional indices. In this worksheet, students understand and use negative indices.
Later in calculus, an index can be any real number. Mar 24, 20 the corbettmaths video tutorial on negative indices. Indices worksheet differentiated teaching resources. Fractions and indices examples, solutions, worksheets. In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that they become second nature. Read each question carefully before you begin answering it. Scroll down the page for more examples and solutions on how to use the rules of indices. Each lesson contains a starter, examples, top tips, exercises, exam practices and even a plenary. Indices or powers a knowledge of powers, or indices as they are often called, is essential for an understanding of most algebraic processes. Quiz worksheet math with fractional powers study com also print working with fractional powers worksheet fractional indices worksheet powers and indices worksheet also wsimage8 jpg fractional indices worksheet free exponents worksheets also fractions and decimals as bases. To understand fractional indices, consider the following examples.
They check 3 diagrams in which a shape is analyzed and the indicated part is marked as. A power is usually represented by a raised smaller number on the right side of the number that it belongs to eg. An index is sometimes called the power of a number. The example on the right shows the function of a power more clearly. Examples, solutions, and videos to help gcse maths students learn about indices.
Before you look at the following maths activities, make sure to already understand the 3 laws of indices click here. Both are easy to print and the html form is editable. Fractional and negative indices for students 7th 10th. Includes working with fractions, mixed numbers and decimals recurring decimals in some cases. Any base number raised to the power of 1 is the base itself. Algebra indices indices answer sheet ai01 gcse maths tutor. Algebra indices indices question sheet ai01 gcse maths tutor. Here i will explain to you how you can use your understanding of indices to solve exponential functions. This pack contains a power point that is broken up into two lessons which covers index notation and fractional indices. Indices 1 gcse to a level bridging course very basic rules of indices in this video. In the next video you are shown how to work with rational fractional indices.
Fractional indices page 3 of 3 june 2012 exercises exercise 1 evaluate the following expressions. The square root of 3 is the number that, when multiplied by itself, equals 3 and is written as. Indices c1 ocr january 2012 q4 maths past paper question youtube video. Fractional exponents can be just as powerful as integer exponents. Match pairs of numbers that are reciprocals of each other, and circle the number that is left over in each box. Passing n5 maths significantly increases your career opportunities by helping you gain a place on a college course, apprenticeship or even landing a job. Negative indices are all exponents or powers that have a minus sign in front of them and are as result negative. I know to divide powers of the same number, subtract the indices 35 32 33 4. An index plural indices is a number written in small case to the upper right of a number to indicate the numbers size. Fractional indices for students 6th 12th standards.
Apr 03, 2014 diagnostic classification angles classification incisor classification epidemiologic indices study prevalence of malocclusion in population. It begins with an exploration of exponents that are unit fractions of the form 1n and then looks at all. An equation that contains a variable in an index is called an indicial or exponential equation the simplest form is ax b. Give your answers as whole numbers or fractions where necessary.
Year 10 algebra worksheet answers thanks patel mr patels maths blog truly wonderful the mind of a child is. Simplify each of the following a b c d e f question 8. Tes global ltd is registered in england company no 02017289 with its registered office. The cubed sign tells us to take the number and multiply it by itself 3 times. Index notationmultiplication and division laws, negative and fractional indices worksheets with solutions.
A detailed practice sheet for indices only the first 4 laws. This presentation is to help students on fractional indices. Hi click on the link below to access the answers to a indices spot test. This assortment of printable exponents worksheets designed for grade 6, grade 7, grade 8, and high school is both meticulous and prolific. Mar 03, 20 the corbettmaths video tutorial on fractional indices. Fractional indices corbettmaths videos, worksheets. The following example questions will explain to you what fractional indices are. Chapter 15 indices scientific notation surds laws of indices. Registration of malocclusion described by bjork, krebs and solow 9. So lets move on to some negative and fractional indices.
Algrebra, functions, equations, measurement, data analysis, statistics, probability, sequences and series, transformations, numbers and operations, geometry and various other mathematics topics. What are fractional indices help with igcse gcse maths. This worksheet tests knowledge of thelaws of indices. A short youtube video shows how to deal with rational exponents.
After using our resources, students will be able to confidently multiply and divide exponents, understand the laws of exponents, and answer questions involving negative exponents. Sep 10, 2017 91 gcse maths rules of indices 3 negative and fractional powers duration. Courtney 1 chapter 15 indices scientific notation surds laws of indices 1. They are quite easy to deal with as there is only one thing that you have to do. Fractional indices are expressions in surds or irrational form. Indices c1 ocr june 2012 q2 maths past paper question youtube video. Laws of indices this worksheet has questions about the laws of indices. According to russell, an index is defined as a numerical value describing the relative status of the population on a graduated scale with definite upper and lower limits which is designed to permit and facilitate. More lessons for a level maths math worksheets a collection of videos, activities and worksheets that are suitable for a level maths. The index laws apply to fractional indices as well as positive and negative integer indices.