Indices rules gcse pdf
GeoGebra software and its user manual. • an assessment rubric. Topic 3 • Index laws 67. UNCORRECTED PAGE PROOFS. Edexcel GCSE. Mathematics (Linear) – 1MA0. ALGEBRA: INDICES Materials required for examination Items included with question papers. Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used. Instructions. Use black ink or ball-point pen. Visit http://www.mathsmadeeasy.co.uk/ for more fantastic resources. Maths Made Easy © Complete Tuition Ltd 2017 Rules of Indices (Powers) 1. Simplify the following Edexcel GCSE 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. Tracing paper may be used. Instructions Use black ink or ball-point pen. 5H Revision on Indices Rules of Indices: a a am n m n× = + and a a am n m n÷ = − and ( ) a am mnn = Negative and fractional indices: n 1 n a a − = and 1 a an = n and ( ) m m a a or an = n n m Special indices: a a1 = and a0 =1 1. Simplify the following expressions: a. x x4 3× b. y y5 2× c. p p3 × d. x x7 3× − e. x x5 2÷ f. 7 3 y y g. Six rules of the Law of Indices: To manipulate math expressions, we can consider using the Law of Indices. 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).
This worksheet has questions about the laws of indices: which are fundamental to algebra and also play a part in numerical calculations. 1. Without a calculator
5H Revision on Indices. Rules of Indices: m n. m n a a a +. ×. = and m n. m n a a a −. ÷. = and ( )n m mn a a. = Negative and fractional indices: 1 n n a a. −. = and. 214 = (KS3/99Ma/Tier 5-7/P1). 3.2 Laws of Indices. There are three rules that should be used when working with indices: When m and n are positive integers,. 1. The more general rule is xa × xb = xa+b where x, a and b are any numbers. We add the indices when we multiply two powers of the same number. Example 1 :. This worksheet has questions about the laws of indices: which are fundamental to algebra and also play a part in numerical calculations. 1. Without a calculator
There are three rules of indices (or laws of indices) which you have to know and be able to apply to problems involving both numbers and algebra. For any numbers, x, m, and n, those three rules are. The multiplication law – when you multiply terms, you add the powers:
There are three rules of indices (or laws of indices) which you have to know and be able to apply to problems involving both numbers and algebra. For any numbers, x, m, and n, those three rules are. The multiplication law – when you multiply terms, you add the powers: Indices or Powers mc-TY-indicespowers-2009-1 A knowledge of powers, or indices as they are often called, is essential for an understanding of most algebraic processes. In this section of text you will learn about powers and rules for manipulating them through a number of worked examples. When expressions with the same base are divided, the indices are subtracted. Example We can write 85 83 = 85−3 = 82 and similarly z7 z4 = z7−4 = z3 Third law (am)n = amn Note that m and n have been multiplied to yield the new index mn. Example (6 4) 2= 6 × = 68 and (ex)y = exy It will also be useful to note the following important results: a0 = 1, a1 = a Exercises 1. When expressions with the same base are divided, the indices are subtracted. Example We can write 85 83 = 85−3 = 82 and similarly z7 z4 = z7−4 = z3 Third law (am)n = amn Note that m and n have been multiplied to yield the new index mn. Example (6 4) 2= 6 × = 68 and (ex)y = exy It will also be useful to note the following important results: a0 = 1, a1 = a Exercises 1. 5H Revision on Indices Rules of Indices: a a am n m n× = + and a a am n m n÷ = − and ( ) a am mnn = Negative and fractional indices: n 1 n a a − = and 1 a an = n and ( ) m m a a or an = n n m Special indices: a a1 = and a0 =1 1. Simplify the following expressions: a. x x4 3× b. y y5 2× c. p p3 × d. x x7 3× − e. x x5 2÷ f. 7 3 y y g. Using an index or power. Here is a number written in index form: 2 is the base number and 4 is the index or power. is a short way of writing . The power or index shows how many times a number has been multiplied by itself. (read as ‘ cubed’) is a short way of writing . has been multiplied by itself three times. The concepts relating to indices are relatively easy to explain from first principles. The reasoning behind the index laws is straightforward. We can see that b 2 x b 5 = b 7 simply by writing out the expressions in full (ie b x b x b x b x b x b x b). Students will quickly spot the patterns.
Visit http://www.mathsmadeeasy.co.uk/ for more fantastic resources. Maths Made Easy © Complete Tuition Ltd 2017 Rules of Indices (Powers) 1. Simplify the following
https://hegartymaths.com/skills/109/preview. 110 https://hegartymaths.com/index- form-9-combination-of-rules · https://hegartymaths.com/skills/110/preview. 111. Examinations Regulation (Ofqual) for GCSE qualifications in their GCSE (9 to 1). Qualification calculate with roots, and with integer indices. N8 manual.aspx. GCSE Maths. EDEXCEL HIGHER CHECKLIST 2019-20. Number. I can do this. Grade. Title. 8. Surds. 7. Index Laws (negative and fractional). 7. Product rule. 7. algebra rules. • collecting Glossary. 3. Some Algebra Rules Note: when we work with indices (powers) any number raised to the power zero is 1, this works. simple surds. ▷ use the index laws to define fractional indices. This chapter deals with defining the system of real numbers, distinguishing between rational and 6 Apr 2017 2 GCSE MATHS GRADE BOOSTER HIGHER Revision Workbook as a single power; (ii) Evaluate the expression (use the laws of indices in.
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GCSE MATHS WORKSHEETS Click here They are suitable for the old 1MAO1 and new 1-9 GCSE in maths for all exam boards. Topics in Rules of Indices https://hegartymaths.com/skills/109/preview. 110 https://hegartymaths.com/index- form-9-combination-of-rules · https://hegartymaths.com/skills/110/preview. 111. Examinations Regulation (Ofqual) for GCSE qualifications in their GCSE (9 to 1). Qualification calculate with roots, and with integer indices. N8 manual.aspx. GCSE Maths. EDEXCEL HIGHER CHECKLIST 2019-20. Number. I can do this. Grade. Title. 8. Surds. 7. Index Laws (negative and fractional). 7. Product rule. 7. algebra rules. • collecting Glossary. 3. Some Algebra Rules Note: when we work with indices (powers) any number raised to the power zero is 1, this works. simple surds. ▷ use the index laws to define fractional indices. This chapter deals with defining the system of real numbers, distinguishing between rational and 6 Apr 2017 2 GCSE MATHS GRADE BOOSTER HIGHER Revision Workbook as a single power; (ii) Evaluate the expression (use the laws of indices in.
GCSE Maths. EDEXCEL HIGHER CHECKLIST 2019-20. Number. I can do this. Grade. Title. 8. Surds. 7. Index Laws (negative and fractional). 7. Product rule. 7. algebra rules. • collecting Glossary. 3. Some Algebra Rules Note: when we work with indices (powers) any number raised to the power zero is 1, this works. simple surds. ▷ use the index laws to define fractional indices. This chapter deals with defining the system of real numbers, distinguishing between rational and 6 Apr 2017 2 GCSE MATHS GRADE BOOSTER HIGHER Revision Workbook as a single power; (ii) Evaluate the expression (use the laws of indices in. 23 Nov 2017 B1 [Understand and use the laws of indices for all rational exponents] GCSE: Higher Tier students will have met laws of indices and surds.