Indices maths worksheets for gcse foundation and gcse higher. P z jm ia odie m pwciptnhz zi 4nof jiknqiit qei jael ggve oblr sa7 81 k. Once you find your worksheet, click on popout icon or print icon to worksheet to print or download. Indices worksheet 4, indices worksheet 5, indices worksheet 6, indices worksheet 8 and indices worksheet 9 work at gcse higher level. Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. Algebraic expressions with whole numbers and negatives. You can choose whether to have numbers or algebraic unknowns as the base. The cubed sign tells us to take the number and multiply it by itself 3 times. Simplify the following and leave your answers in index form.
This includes multiplication and division of terms. Indices materials required for examination items included with question papers ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser. Fractions and the index laws in algebra 4 a guide for teachers assumed knowledge the arithmetic of integers and of fractions. The index laws in arithmetic with nonzero whole numbers indices. The three index laws involving products in algebra. Displaying all worksheets related to laws of indices. The laws of indices introduction a power, or an index, is used to write a product of numbers very compactly. These exponents worksheets are a good resource for students in the 5th grade through the 8th grade. A worksheet where you have to apply the law of multiplication with regards to indices. Dfm is a huge bank of free educational resources for teaching mathematics, with full sets of slides, worksheets, games and assessments that span year 7 to further maths and enrichment resources with a maths challengeolympiad focus. This lesson recaps and introduces techniques for solving problems involving indices, with a focus on the laws of indices, negative, zero and fractional indices and standard form. We are working hard on a new platform for setting, building and monitoring homework.
There are three rules that should be used when working with indices. To multiply when two bases are the same, write the base and add the exponents. The index laws apply to fractional indices as well as positive and negative integer indices. 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. Laws of indices this guide describes how to work with and manipulate the laws of indices in mathematics. The improving mathematics education in schools times. Literacy activities find a word study stack quizlet crossword fill in the blanks. The multiplication law when you multiply terms, you add the powers.
To divide when two bases are the same, write the base and subtract the exponents. Writing numbers in scientific notation worksheets these algebra 1 exponents worksheet are great for teaching students to read and write numbers in scientific notation. Indices worksheet differentiated teaching resources. Laws of indices this worksheet has questions about the laws of indices.
There are also questions involving negative and fractonal indices, and solving equations where the unknown is the exponent. Worksheets are work 1 8 power laws, laws of indices work, maths learning service revision index laws mathematics, indices and surds, indices or powers, mathematics linear 1ma0 algebra indices, 3 indices and standard form mep y9 practice book a, index laws. Exam style questions corbettmaths videos, worksheets. Some of the worksheets displayed are work 1 8 power laws, laws of indices work, maths learning service revision index laws mathematics, indices and surds, indices or powers, mathematics linear 1ma0 algebra indices, 3 indices and standard form mep y9 practice book a, index laws. To manipulate math expressions, we can consider using the law of indices. Worksheet 1 8 power laws department of mathematics. Indices rules worksheets questions and revision mme. Indices usually appear in mathematics as a numerical superscript after a number or variable and are also known as powers or exponents.
Indices practice questions evaluate the following expressions without your calculator. Indices worksheet 1 introduces indices at grade 3, indices worksheet 2 and indices worksheet 3 asks students to calculate in indices working at grade 4 and grade 6. Read each question carefully before you begin answering it. Laws of indices simplifying indices laws of indices jigsaw 1 laws of indices jigsaw 2 laws of indices jigsaw 3 laws of indices jigsaw 4 laws of indices jigsaw 5 laws of indices jigsaw 6 laws of indices jigsaw 7 laws of indices jigsaw 8 laws of indices with some algebra. Without a calculator, use the laws of indices to help you evaluate the following.
Create an unlimited supply of worksheets for practicing exponents and powers. Math worksheets examples, solutions and videos to help gcse maths students learn about the multiplication and division rules of indices. Students can solve simple expressions involving exponents, such as 3 3, 12 4, 5 0, or 82, or write multiplication expressions using an exponent. This fractional indices lesson pack puts the power in your hands. Worksheets with answers whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. Indices or powers a knowledge of powers, or indices as they are often called, is essential for an understanding of most algebraic processes. Multiplication rule in this tutorial you are shown the multiplication rule for indices. Indices worksheets practice questions and answers cazoomy.
Our grade 6 exponent worksheets expand our use of exponent notation and include whole number, fractional and decimal bases, negative exponents, expressions with exponents and equations with exponents. These worksheets practice various laws associated with operations which involve terms with indices, or exponents. A worksheet for practising the use of negative indices. For any numbers, x, m, and n, those three rules are. 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. This worksheet features converting negative indices into fractions and viceversa as well as converting decimals into index notation. Pencil, pen, ruler, protractor, pair of compasses and eraser you may use tracing paper if needed guidance 1.
Index notationpowers free maths worksheets and other. Gcse igcse maths mathematics indices laws of indices powers and roots zero negative and fractional indices differentiated practice worksheets wit. Very large and very small numbers can be expressed in standard form. Exponents worksheets free math worksheets, lessons. 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 multiplication and division rules examples. Worksheets are indices or powers, mathematics linear 1ma0 algebra indices, 3 indices and standard form mep y9 practice book a, indices and surds, laws of indices work, indices practice questions, 5h revision on indices, maths learning service revision index laws mathematics. Enter the base x first, press then enter the index y. The worksheets can be made in html or pdf format both are easy to print. 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. This lesson pack includes a powerpoint, worksheets and activities designed specially to practise indices. Laws of indices displaying top 8 worksheets found for this concept some of the worksheets for this concept are work 1 8 power laws, laws of indices work, maths learning service revision index laws mathematics, indices and surds, indices or powers, mathematics linear 1ma0 algebra indices, 3 indices and standard form mep y9 practice book a, index laws.
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