Negative indices maths genie. For negative/fractional indices, please see higher lesson.

zero or negative exponents are really part of the same (fairly simple) pattern. Applying a negative index to fractions, essentially instructs us to take the reciprocal of the fraction. pptx, 137. co. Question Page on the topic of multiplying and dividing negative numbers. 7 Qu 8-10 A*-G homework book: p10 E2. 169 Divide algebraic terms with powers. 26 KB. • Answer the questions in the spaces provided – there may be more space than you need. To ensure quality for our reviews, only customers who have downloaded this resource can review it. y Created Date: 7/22/2015 5:37:17 PM Indices. Resource type: Lesson (complete) File previews. GCSE Papers . Information These are free GCSE Maths Genie resources that we have pulled together from Maths Genie to help you revise your GCSE Maths. Answer all questions. It was developed by Italian statistician and pdf - 0. 2. 1. We've selected the essential questions on Fractional and Negative Indices so you can identify difficulties and work on them. Resources. 038 × 102 3800 × 10–4 380 0. Apr 16, 2018 · Fractional and negative indices. Laws of indices video. Maths Genie Limited is a company registered in England and Wales with company number 14341280 Sep 10, 2017 · Find me on TikTok under JaggersMaths!How to evaluate a number to the power of a fraction and/or negative numberOther related videos:Index laws: https://www. You should work through the videos first and then, after you have watched all the videos you need to watch, work through the exam style questions for Edexcel Higher. In economics, the Gini coefficient ( / ˈdʒiːni / JEE-nee ), also known as the Gini index or Gini ratio, is a measure of statistical dispersion intended to represent the income inequality, the wealth inequality, or the consumption inequality [3] within a nation or a social group. ↓. Key Skills. How to solve negative indices. 1 Qu 8-10 9-1 homework book: p13 M2. Mathematics (Linear) – 1MA0. Level Revision. FRACTIONAL & NEGATIVE INDICES NO CALCULATOR MathS Enjoy Improve Succeed Everyone. 45 KB. In GCSE Maths, fractional indices represent taking roots of numbers, such as the square root (√) for 1/2 and the cube root (³√) for 1/3. For example, 2^-3 is equivalent to 1/2^3. You should work through the videos first and then, after you have watched all the videos you need to watch, work through the exam style questions for Fractional and Negative Indices Name: _____ Instructions • Use black ink or ball-point pen. This video teaches how to understand negative and fractional indices. Maths revision video and notes on the topic of finding the nth term of a linear sequence. This video is part of the Algebra module in GCSE maths, see my other videos b . Dec 21, 2020 · This video takes a look at some GCSE Maths questions aimed at Foundation and Higher Tier students covering fractional and negative indices. with question papersNilUse black ink or ball-point pen. nsItems included with question. Negative powers flip the fraction and put 1 over the number. 8 × 103 km Apr 24, 2018 · The Corbettmaths Practice Questions on Negative Indices for Foundation GCSE Maths. 15 ÷ −3 15 ÷ − 3. PPT. Laws of indices worksheets. 570 Simplify a fraction using index laws. View related notes. Indices Rule 10: Negative Powers. Here's a link t Laws of Indices. The Negative index. To learn the rules of zero, negative and fractional indices. 2. InstructionsItems inclu. A video revising the techniques and strategies for completing 5 of the hardest questions on indices - Higher only (Grade 7-9)This video is part of the Number Jan 24, 2018 · Topic: Number Indices: Negative on a FractionDo this paper online for free: https://www. Revision notes on 2. Fractional and Negative Indices: Solutions: The Product Rule for Counting: Maths Genie Limited is a company registered in England and Wales with company number Mar 24, 2013 · Corbettmaths - This video explains how to calculate negative indices. Level Papers. In this video I looked at the rules of fractional indices with som Revise about how to multiply and divide indices, as well as apply negative and fractional rules of indices with this BBC Bitesize GCSE Maths Edexcel guide. olutions. 26 MB. : NEGATIVE SCALE FACTORMaterials required for examination Ruler graduated in centimetres and. onmaths. pdf, 825. Negative Numbers Name: _____ Instructions • Use black ink or ball-point pen. Please review if you find this resource helpful. (a) Test your knowledge by diving into some example questions. Division law Tarsia solution. Questions and model answers on Algebraic Roots & Indices for the CIE IGCSE Maths: Core syllabus, written by the Maths experts at Save My Exams. Positive indices: If the index of any number is a whole number, then it is termed as a positive index Sep 11, 2016 · GCSE Revision Cards. 1 Qu 6 Summary Negative indices (“one over…”): The word reciprocal is often associated with negative indices because the reciprocal of is . Creative Commons "NoDerivatives". This resource contains all of the Indices (Index Laws) questions that have come up in the Edexcel GCSE maths papers to date (Autumn 2021), arranged Fractional and Negative Indices: Solutions: The Product Rule for Counting: Maths Genie Limited is a company registered in England and Wales with company number Oct 5, 2018 · In this video, I will explain the following:1. I go through ways to remember and learn the rules for negative and fractional indices a 21 One electron has a mass of 9. • Diagrams are NOT accurately drawn, unless otherwise indicated. 5-a-day Workbooks. millimetres, protractor, e used. If a number ‘a’ has a negative index ‘n’, it is equivalent to 1 divided by (a^n), where ‘n’ is positive. 63 KB. The full solutions are also included (please let me know if Aug 12, 2021 · #3minutemaths #SimonDeaconmathsThis video is a quick reminder of negative indices for GCSE maths, and is aimed at around grade 7+. Information These videos are made by Corbett Maths. Working with Negative Indices. Includes learning objectives with progress tick sheets, fully differentiated, colour coordinated questions with answers. Law 1: multiplying indices Law 2: dividing indices Law 3: brackets with indices Brackets with indices examples Law 4: power of 0 Law 5: negative indices Law 6: fractional indices (H) Laws of indices examples. Solutions are available. Algebraic Techniques Key Skills Section (for selecting more than one) 168 Multiply algebraic terms with powers. For the full list of videos and more revision resources visit www. So using the second approach, we can also express \dfrac {a^3} { a^5} with a positive index as a^ {-2}. Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost. pptx, 3. This resource hasn't been reviewed yet. You must show all your working out. This worksheet covers various exercises that will enable students to apply their knowledge of fractional and negative indices. pdf, 202. This gives us the negative index law. Power of means square root 10th: 10 This is because: X 91 We know this is true from the earlier rules so 3 If a power is negative Fractions raised to a negative index. Start with the smallest number. Rule #2: When we divide two number which have the same base, we subtract their powers. • Answer all questions. File previews. This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated. Resource type: Worksheet/Activity. \textcolor{red}{a}^{-\textcolor{limegreen}{b}} = \dfrac{1}{\textcolor{red}{a}^\textcolor{limegreen}{b}} for any value of a or b. com**This video looks at what a negative Index is and how we can simplify Negative Indices by using a simple reciprocal Maths Genie Limited is a company registered in England and Wales with company number 14341280. In general, the result of a negative power is “ \bf{1} over that number to the positive power”, i. Visit now! Aug 3, 2023 · Age range: 11-14. Fractional indices and negative fractional indices both come up in GCSE Maths exams often. Standard. In this lesson, we will introduce indices as a way of representing "lots of lots of". −49 ÷ 7 − 49 ÷ 7. 5 2 means 5 × 5. For any base a,\, a^ {-x} = \dfrac {1} {a^x}, x \neq 0. Laws of Indices: This includes the basic laws such as the Product Law, Quotient Law, Power Law, Zero Law, and Negative Law. If you score 80% or above (20/25) you pass the stage and you can move onto the next stage. Registered Office: 86-90 Paul Street, London, England, EC2A 4NE. uk 1 Find the value of 3-1 (1 mark) 2 Find the value of 4 Find the reciprocal of 3 (4 5) −1 3 Find the value of 5-1 5 Find the value of 100 1 2 6 Find the value of 64 1 2 7 Find the value of 49 1 2 8 Find the value of 81 1 2 Revise about how to multiply and divide indices, as well as apply negative and fractional rules of indices with this BBC Bitesize GCSE Maths Edexcel guide. Maths GCSE foundation lesson on laws of indices. This will allow you to see what topics you need to work on. Welcome; Videos and Worksheets; Primary; 5-a-day. ersNilUse black ink or ball-point pen. Key Questions. Whole lesson used with a middle year 9 and 10 class but ready to edit for your needs. name, centre number a. You can download the work Feb 19, 2024 · Age range: 11-14. It does encourage me to upload more. RevisionGCSE revision videos, exam style questions and. Thank you, Jo! Division law Tarsia jigsaw. Primary Study Cards Question Page on the rules of indices. GCSE Revision. Show Step-by-step Solutions. Simplifying algebraic index expressions. This vi Oct 8, 2017 · Laws Of Indices Part 2: Negatives & Fractions | Algebra | Maths | FuseSchoolIn this video we are going to look at what happens with negative indices and frac Sep 24, 2021 · E2. Understanding these concepts is essential for simplifying expressions, solving equations, and working with powers and roots in Examples, solutions, and videos to help GCSE Maths students learn about negative and fractional indices. 81 KB. Exponents are also called Powers or Indices. Keep track of what you've done and what you still need to cover for free! Create an Account. Hide Answer. 357 Expanding Three Brackets. (o) (p) Question 2: Write each of the following in index form. Negative and Fractional Indices worksheet description. 1 Laws of Indices for the Edexcel A Level Maths: Pure syllabus, written by the Maths experts at Save My Exams. How to use the laws of indices. 4A: Use and interpret positive, negative and zero indices. flipchart, 1. Exam Practice. Question 3: Write each of the following in the form. A basic understanding of algebra is needed. Maths revision video on of transformations - enlargement with a negative scale factor. The following diagrams show fractional indices and how to evaluate them. PDF. 14 KB. pdf, 1 MB. Fractional And Negatice Indices 16 Dec 18, 2022 · GCSE Revision Cards. Age range: 11-14. Questions on Fraction and Negative Indices for GCSE 9-1. Example 14. 5-a-day GCSE 9-1; 5-a-day Primary; Maths Genie Limited is a company registered in England and Wales with company number 14341280. Substitution means putting a number into a formula or expression in place of a letter. Question 5: Write each of the following as fractions. 7 Qu 9-14 A*-G class textbook: p37 E2. In section A, pupils will work out the value of 9 integers with negative and/or fractional indices. Answers given will be integers or fractions. 38 × 10–1 (2 marks) Must Practice GCSE (9-1) Maths Negative Indices Past Paper Questions. Understanding the Rule Key learning points. The small number that is raised is called the index or the exponent. GCSE Papers. (Total for Question 21 is 2 marks) grams 20 The diameter of Neptune is 5. Expressing an algebraic expression with a positive index. Small. Learn about and revise how to multiply and divide indices, as well as apply negative and fractional rules of indices with GCSE Bitesize AQA Maths. Then use the index laws and express the answer with positive indices. • You must show all your working out. Remember that any number divided by itself is 1. KS2 Revision. It's been a while This is a powerful concept in algebra and is used extensively in solving algebraic problems. 12. Tracing paper may be used. These laws explain how indices behave when multiplying, dividing, raising to a power, or taking a negative. Maths Genie Stage 3. Question 4: Write each of the following in the form. Common misconceptions. Start by taking a test. Ready-to-use mathematics resources for Key Stage 3, Key Stage 4 and GCSE maths classes. Fractional and Negative Indices Instructions Use black ink or ball-point pen. Lots of credit goes to her for resources and ideas used in these lessons. Grade 8/9GCS. To simplify algebraic expressions, remove the brackets first. A video revising the techniques and strategies surrounding the laws of indices (Part 1)This video is part of the Number module in GCSE maths, see my other vi On Algebra Indices Maths Genie, the following information must be reported: 1. Registered Office: 143 Lynwood, Folkestone, Kent, CT19 5DF. The fundamental property that makes this work is that any non-zero number raised to the power of -1 is simply its reciprocal. Introduction to Fractions Raised to a Negative Index. pdf, 485. 5 1 means 5. Answer the questions in the spaces provided — there may be more space than you need. Combination of all. Subject: Mathematics. Negative indices indicate reciprocal values, like x^(-1) representing 1/x. 5 3 means 5 × 5 × 5. e. t. com/💻 EXCLUSIVE GCSE and A-Level Resources (Notes, Worksheets, Quizzes and More)!💻😮 ExamQA Includes: Maths, Biology Feb 19, 2024 · It does encourage me to upload more. Grade 6 Fractional and Negative Indices Grade 6 Please do not write on this sheet mathsgenie. 1 × 10-31 grams. Scroll down the page for more examples and solutions on fractional and negative indices. Combination of All. negative indices, algebraic index expressions. Understand and calculate with index notation, revise how to multiply and divide indices, as well as apply negative and fractional rules of indices with this amazing interactive maths lesson. Visit his excellent website for more videos, textbook exercises, exam questions, 5-a-day, and more! Indices (numerical) Video 172 Indices: laws of Video 174 Indices: fractional Video 173 Maths Genie keyboard_arrow_up Video: Negative indices Solutions to Starter and E. Created Date: 20200914151755Z' Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost. In this question we are going to change a into 5 and b into 3. This resource contains all of the fractional and negative indices questions that have come up in the Edexcel GCSE maths papers to date (Autumn 2021), arranged as a printable worksheet. e. Having conducted and published postgraduate research into the mathematical theory behind quantum computing, he is more than confident in dealing with mathematics at any level the exam boards might throw at you. mathsgenie. This includes multiplication, division, raising to another power and basic negative indices. s Exercise 9-1 class textbook: p42 M2. ractor, compasses, pen, HB. Maths Genie Limited is a company registered in England and Wales with company number 14341280. We cannot write 45 + 3 because 4b means 4 times b We can instead use brackets to substitute the numbers into the expression: 4 (5) + (3) A "how-to" guide to simplifying expressions with fractional and negative indicesA worksheet/notes jotter is available to accompany this video by clicking on Jan 26, 2021 · Some basic rules of Indices that you must remember are: Rule #1: When we multiply two numbers which have the same base, we add their powers. 751, 2024, 2025, 2026, 752, 2027 Edexcel GCSE. Fill in the boxes at the top of. Aug 23, 2021 · #3minutemaths #SimonDeaconmathsThis video is a quick reminder of negative fractional indices for GCSE maths, and is aimed at around grade 7. Find the mass of 250 of electrons. Maths revision video and notes on the topic of Indices. K180a: Expand an expression in the form (x+a) (x+b) (x+c) 763 Expand a Pair of Brackets Containing up to Three Polynomial Terms. A video revising the techniques and strategies surrounding the laws of indices, focusing on negative and fractional indices for the higher tier paper. 358 Expand an Expression in the Form (x+a) 3. uk. 0. Example 1: Find the value of 4a + b when a = 5 and b = 3. Diagrams are NOT accurately drawn, unless otherwise indicated. Primary Study Cards Fractional and Negative Indices In this example we have negative x values in the table. When dealing with algebraic bases we follow exact the same approach. Maths Genie Stage 11. DICESMaterials required for examination Ruler graduated in centimetres and millimetres, pro. It is often easier to start with the positive x values: Maths Genie Limited is a company registered in Maths Genie Limited is a company registered in England and Wales with company number 14341280. Simplify: a7 axaxaxaxÁxÁxÁ øxþxÁ so When dividing indices subtract the powers 23 Simplify: (3a ) 23- - 3a2 x 3a2 x 3a (3a ) which means (3 x ax a) x (3 xa x a) x (3 xa x a) (3a ) 23 Simplify: 3x3 x 4x5 3X3 X 4X (3 X x X X X X) X (4 X X X X Xx X X X X) which is the same as: 3 X Xx Xx Xx Xx Xx Xx Xx so: 3x3 X 4x5 = 12x ax a Created Date: 20200406114654Z' A video revising the techniques and strategies for working with Laws of Indices. Following Jo Morgan's workshop at MathsConf15, I've completely redesigned my lesson resources for this topic. v. Rule #3: When we have a power to the power of something else, we multiply the powers together. The rule for negative indices is \(a^{-m} = \frac{1}{a^m}\). 47 MB. Write the following numbers in order of size. The big number on the bottom is sometimes called the base number. 2R1 Ref: G133. Maths revision video and notes on the topics of simplifying surds, rationalising the denominator and indices. Therefore the powers of 5 are 5, 25, 125, etc. Fill in the boxes at the top of this page with you. Show Answer. Algebraic Index Expressions. Information The marks for each question are shown in brackets Negative and Fractional Indices. For negative/fractional indices, please see higher lesson. 2 MiB DateSeptember 3, 2017 Downloads6713 9-1 Higher. Along with Stepwise Solutions, Timing, PDF download to boost your the GCSE Maths Grades. Click here to view the 2016 A*-E Speci cation For GCSE Maths I am using the Casio Scienti c Calculator: Casio Scienti c Calculator If YouTube is blocked at your school you can access the videos Show Answer. GCSE Maths revision tutorial video. Lots of differentiated questions will give your GCSE learners ample Negative Indices | Year 9 | MaffsGuru. is page with your nam. Age range: 14-16. 0 × 104 km The diameter of Mars is 6. A level pure maths year 1 video lesson answering questions on the topic of Negative and Fractional Indices. Therefore 2^-3 equals 1/8 Maths Genie Limited is a company registered in England and Wales with company number 14341280. 216 = 6143 — 16 3 125 125 5 27 m 125 State the value of 50 Fractional and Negative Indices: Solutions: Direct and Inverse Proportion: Maths Genie Limited is a company registered in England and Wales with company number What are powers/indices? Powers of a number is when that number is multiplied by itself repeatedly. Indices maze. There is also reference to which paper each question came up on. com/number-indices/Grade: 6This question appears on non-calcu Sep 2, 2019 · Previous: Distance Time Graphs Practice Questions Next: Negative Indices Practice Questions GCSE Revision Cards 👉 Get The Slides Now @ https://examqa. Solution: Key Terms. A negative power is often referred to as a reciprocal close reciprocal The reciprocal of a number is 1 divided by that number. In other words, a^-n equals 1/a^n. pdf, 519. g. To be able to identify the different types of p Question 1: Evaluate each of the following. es tl ra nf kk hr rw wq za dr