Powers, Roots and Standard Form notes
36 notes by 32 users
This GoConqr page gathers over 30 notes on powers, roots and standard form, with mostly secondary-level material. School students can practice exponents, square roots and scientific notation, while teachers can find material for these topics. Pick a note and use it to work through an example.
Notes
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Multiplying and dividing standard form
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Scientific Notations EXCERCISE: 1. 0.004= 4x10(-3) 2. 0.000000000000000123=1.23x10(-16) 3. 452000000000000= 4.52x10(14) 4. 698.25400000000000000=6.98254 x 10(2) 5. 3.28 x 10 (8)=...
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Untitled Standard FormWrite numbers in standard form- use scientific examples multiply and divide numbers in standard form- calculation with and without a calculator. being able to interpret the calculator display.56000000000 ...
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Scientific Notation RULES FOR SIGNIFICANT FIGURES 1. All non-zero numbers ARE significant. The number 33.2 has THREE significant figures because all of the digits present are non-zero. 2. Zeros between two non-zero d...
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MATHEMATICS-ALGEBRA (Laws) Exponents rules and properties Rule name RuleExample Product rules a n · a m = a n+mQuotient rules a n / a m = a n-mPower rules (bn)m = bn·mNegative exponents b-n = 1 / bn2-3 = 1/23 = 0.125Zero rules b0 = 150 = 10n = ...
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Chapter 7 positive exponents - provide whole # (or integer) outcome negative exponents - provide a rational # outcome make a fraction positive/negative Zero exponents - Answer is ALWAYS 1  ...
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Square Roots Only the square roots of square numbers are rational When you see an exponent of 2 on a number, such as 32, you can either say, “three to the second power” or “three squared.” A number that is the result of squaring a...
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Scientific Notation Scientific Notation definition Scientific notation definition, a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy proces For...
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Scientific Notation INTRODUCTION TO SCIENTIFIC NOTATION Scientific Notation is an abbreviation to write down numbers that are really big or small. STEPS 1. Locate the decimal point ...
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Surds A surd is an expression of the form √? or − √? where ? is a rational number that is not a square of another rational number. For example, √2, √ 12 13 and −√1.5 are surds, but √100, −√ 4 9 and √ 48 243 are not sur...
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ADDING & SUBTRACTING ROOTS Explaination of adding & subtracting square roots. Excellent explaination. New Page
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Scientific Notation There is a mathematical scientific notation which is very useful for writing very big and very small numbers. Scientific notation is an abriviation. Short way to put numbers that are really big and really small. Examp...
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Untitled SCIENTIFIC NOTATION its an abreviation to write down numbers that are really big or really small steps of the process 1. where the decimal place would be? 2. move it and count number of spots until one dig...
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scientific notation
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notes metric system: 3 main base units the meter for length, liter for volume, and gram for mass Kilo= 1000 Hecta:=100 Deca= 10 base unit=1 Deci= 0.1 Centi= 01 This system is now the Inte...
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Scientific Notation --There is a mathematical scientific notation that is very useful for writing very big and very small numbers. Why are they important? - the tels us how to round - make sure the answer you get isn´t more precis...
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Scientific Notation 3 Studentw do Scientific Notation writing: 1. 0.004 2. 0.0000000000000000123 3. 452000000000000 4. 698.254000000000000 5. 3.28x 10(8) 6. 8.45x 10(-3) 7. 8.45x 10(5) 8. 1.2x10(-8) kare zeroes significant? every num...
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Scientific Notation SCIENTIFIC NOTATION There is a mathematical scientific notation which is very useful for writing very big and very small numbers. 25,300,000,000,000 MILES &n...
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Foundations PT.2 There are three properties of exponents that involve products:Product of powersPower of a productPower of a power a(3) x a(2)a x a x a X a x a = a(5)EXAMPLE OF PRODUCT OF POWERSab(4)ab x ab x ab x abRearrange( a x a x...
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Scientific Notation The Scientific Notation Abbreviation Short way to write numbers that are really big or really small. Mainly used in science. Simpler and easier to use. MOVE LEFT, EXPONENT GPES UP, MOVE RIGHT EXPONENT GOES DOWN...
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Untitled 9/28 Exponential Expressions We must evaluate exponential expressions of the form an When the base a is negative, we use the following rule: If the exponent n is even, then an is positive. If the exponent n is odd, th...
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Scientific Notation Makes it easy to multiply, divide, add and substract very large and very small numbers. 25,300,000,000,000 miles 0.000 000 0203 seconds Makes it easy to operate with very big numbers. Move it until there is only one d...
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Scientific Notation 25,300,000,000,000 2.53x 10(13) Exponent goes up move left. Move right exponent goes down 3,749,000,000 3.74x10(8) 0.00005269 5.269x(-5) 813,000,000,000,000 0.0000000214 1) 0.004 4x10 (...
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THIS IS FOR MATHS AND IT IS FOR LAWS OF INDICES. Rule 1 multiplying a7xa3=a10When multiplying add the powers together.If there is no indices then you could the letter as one.Rule 2 dividing a5xa2=a3When dividing you take away the powers.Rule 3 Brackets(3to the power...
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Simplify Radicals This is how you simplify radicallllsss!! YAY! √24 ok so first step: ( you don't really have to do this, but its helpful).... Make a list of a bunch of perfect squares 1 4 9 16 25 etc... Then start dividing...
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scientific notation
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scientific notation There is a mathematical scientific notation which is very useful for writing very big and very small numbers. 25, 300, 000, 000, 000 miles 0. 000 000 0203 seconds Move the decimal until there is only one number ...
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Scientific Notation Scie...
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Year 9 Math Exam Notes Index Laws 1 - Multiplying Indices am×an = am+n 24×22 = 2×2×2×2 × 2×2 = 26 or 24×22 = 24+2 = 26 EXAMPLE 23×22 = 2×2×2 × 2×2 = 25 or 23×22 = 23+2 = 25 2×a5 = a×a × a×a×a×a×a = a7 or a2×a5 = a2+5 = a7 Index Laws 2 ...
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Scientific Notation The short way to write big and small numbers 25,300,000,000,000 miles 2.53 x 10-13 0.0000000203 seconds 2.03 x 10- -8 3,749,000,000 3.749 x 10-9 0.0000000214 2.14 x 10- -10 0.00005269 5.269 x 10- -8 &nbs...
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rationalizing the denominator for single surd denominators, times top and bottom by the surd that's in the denominator times top and bottom by the surd value that's in the denominator, but switch the value that's in between the numbers for eg chan...
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Laws of Exponents - creado desde un Mapa Mental Multiplication Rule Division Rule Power of a Power Rule
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Squares and square roots (up to 30) Squares and square roots 1: 1x1 4: 2x2 9: 3x3 16: 4x4 25: 5x5 36: 6x6
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ADDING & SUBTRACTING ROOTS WITH & WITHOUT A COEFFICIENT ADDING & SUBSTRACTING ROOTS WITH & WITHOUT COEFFECIENTExcellent explanation. New Page
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Radicals - created from Mind Map Simplifying Radicand GCF
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Table of powers (negative) used in all forms of maths When the substitution is a negative number: Power of 1 Negati...
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About powers, roots and standard form notes
GoConqr OriginalPowers, Roots and Standard Form notes
The notes on this page cover exponent rules, square roots, surds and scientific notation. Some set out rules, while others show examples or exercises. The Scientific Notations note, for instance, includes numbers written in scientific notation and as ordinary decimals.
How to use the notes
For a starting point on roots, try Square Roots: it connects squared numbers with their roots. For standard form, Multiplying and dividing standard form begins with a worked multiplication example. Choose the topic you are studying and read the relevant example before attempting a similar calculation yourself.
Use the notes on exponent laws when you need a reminder of a rule, then cover the rule and see if you can recall it. If you want a different way to check your understanding, switch to a quiz on the unit page. You can also use a mind map there to see how ideas connect. Choose a note to begin.
Frequently asked questions
Which note is a good place to start with standard form?
Multiplying and dividing standard form is a useful starting point if you want to see a calculation worked through. It begins with a multiplication example and shows how to handle the numbers and powers of ten. Scientific Notations offers examples of numbers written in different forms.
What do the notes cover about roots and powers?
Square Roots connects squared numbers with their roots, while Surds introduces expressions involving roots. Other notes cover adding and subtracting roots and simplifying radicals. For powers, there are notes on exponent rules, including multiplying and dividing powers and working with negative exponents.
Who are these notes for?
The collection is mostly secondary-level material. School students can use the notes when studying exponent rules, roots or scientific notation, and teachers can find material on those topics. Some notes give rules to look over, while others offer worked examples or exercises to follow.
Are the notes free to use?
Yes. Every note listed here is free to open and study without an account. A free account also lets you make your own notes, quizzes, mind maps and flashcards, and save your quiz scores. The resources were made by GoConqr users, not by GoConqr.