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  1. Revision notes
  2. KS3
  3. Maths
  4. Maths: KS3
  5. Converting to Standard Form (Negative Powers)

Converting to Standard Form (Negative Powers)

Maths: KS3, topic 1.10.3

Test yourself on Converting to Standard Form (Negative Powers)

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Previous topic1.10.2 Converting to Standard Form (Positive Powers)Next topic1.10.4 Converting Form Standard Form (Positive Powers)

Maths: KS3 contents

  1. 1 Number

    • 1.1 Place Value & Ordering

      • 1.1.1 Ordering Integers
      • 1.1.2 Ordering Decimals
      • 1.1.3 Equal Symbols
      • 1.1.4 Place Value
    • 1.2 Numerical Operations

      • 1.2.1 Adding Integers
      • 1.2.2 Subtracting Integers
      • 1.2.3 Multiplying Integers
      • 1.2.4 Dividing Integers
      • 1.2.5 Dividing with a Remainder
      • 1.2.6 Adding & Subtracting Decimals
      • 1.2.7 Multiplying Decimals
      • 1.2.8 Dividing Decimals
      • 1.2.9 Adding & Subtracting Negative Numbers
      • 1.2.10 Multiplying & Dividing Negative Numbers
      • 1.2.11 Multiplying by Powers of Ten
      • 1.2.12 Dividing by Powers of Ten
    • 1.3 Fractions

      • 1.3.1 Writing Fractions
      • 1.3.2 Simplifying Fractions
      • 1.3.3 Equivalent Fractions
      • 1.3.4 Constructing Fractions
      • 1.3.5 Ordering Fractions
      • 1.3.6 Recurring Decimal Notation
      • 1.3.7 Mixed Numbers & Improper Fractions
    • 1.4 Numerical Operations (Fractions)

      • 1.4.1 Adding & Subtracting Fractions
      • 1.4.2 Add & Subtract Mixed Numbers & Improper Fractions
      • 1.4.3 Multiplying Fractions
      • 1.4.4 Multiplying Mixed Numbers
      • 1.4.5 Reciprocals
      • 1.4.6 Dividing Fractions
      • 1.4.7 Dividing Mixed Numbers
    • 1.5 Roots & Powers

      • 1.5.1 Roots
      • 1.5.2 Integer Powers
      • 1.5.3 Estimating Powers & Roots
      • 1.5.4 Laws of Indicies (Multiplication)
    • 1.6 Structure of Calculations

      • 1.6.1 Order of Operations (BIDMAS)
    • 1.7 Numerical Skills

      • 1.7.1 Using a Calculator - Powers, Roots & Fractions
    • 1.8 Factors & Multiples

      • 1.8.1 Divisibility Rules
      • 1.8.2 Finding Multiples
      • 1.8.3 Finding Factors
      • 1.8.4 Finding Prime Numbers
    • 1.9 Systematic Listing

      • 1.9.1 Systematic Listing
    • 1.10 Standard Form

      • 1.10.1 Reading Standard Form
      • 1.10.2 Converting to Standard Form (Positive Powers)
      • 1.10.3 Converting to Standard Form (Negative Powers)
      • 1.10.4 Converting Form Standard Form (Positive Powers)
      • 1.10.5 Converting From Standard Form (Negative Powers)
      • 1.10.6 Adding & Subtracting Standard Form
      • 1.10.7 Standard Form on a Calculator
    • 1.11 Fractions, Decimals & Percentages

      • 1.11.1 Converting Fractions, Decimals & Percentages
      • 1.11.2 Numbers as Percentages
      • 1.11.3 Fractions of Amounts
    • 1.12 Percentage Change

      • 1.12.1 Percentages of Amounts (Calculator)
      • 1.12.2 Percentages of Amounts (No Calculator)
      • 1.12.3 Percentage Change
    • 1.13 Rounding & Estimation

      • 1.13.1 Rounding Integers
      • 1.13.2 Estimating Calculations
      • 1.13.3 Rounding Decimals
      • 1.13.4 Rounding With Significant Figures
    • 1.14 Bounds & Accuracy

      • 1.14.1 Finding Error Intervals
  2. 2 Algebra

    • 2.1 Algebraic Notation

      • 2.1.1 Function Machines
      • 2.1.2 Using Algebraic Notation
    • 2.2 Substitution & Simplification

      • 2.2.1 Substituting into Expressions with Operations
      • 2.2.2 Substituting into Algebraic Expressions
      • 2.2.3 Substituting into Real-Life Expressions
      • 2.2.4 Simplifying Expressions by Collecting Like Terms
    • 2.3 Brackets

      • 2.3.1 Expanding Single Brackets
      • 2.3.2 Expanding & Simplifying with Single Brackets
      • 2.3.3 Expanding Double Brackets
      • 2.3.4 Factorising Into One Bracket
    • 2.4 Algebraic Fractions

      • 2.4.1 Operations with Algebraic Fractions
    • 2.5 Rearranging

      • 2.5.1 Changing the Subject
    • 2.6 Functions

      • 2.6.1 Finding the Input of a Function
    • 2.7 Solving Linear Equations

      • 2.7.1 Solving Linear Equations (One Step)
      • 2.7.2 Solving Linear Equations (Multi-Step)
      • 2.7.3 Solving Linear Equations (Unknown Both Sides)
      • 2.7.4 Solving Equations (Unknown in Denominator)
      • 2.7.5 Forming & Solving Linear Equations
    • 2.8 Inequalities

      • 2.8.1 Representing Inequalities on a Number Line
      • 2.8.2 Solving Linear Inequalities
      • 2.8.3 Linear Inequalities with Unknowns on Both Sides
    • 2.9 Simultaneous Equations

      • 2.9.1 Solving Simultaneous Equations Graphically
      • 2.9.2 Solving Simultaneous Equations by Elimination
    • 2.10 Sequences

      • 2.10.1 Term-to-Term Rules (Patterns)
      • 2.10.2 Term-to-Term Rules (Numerical)
      • 2.10.3 Substituting into a Given Rule
      • 2.10.4 Position-to-Term Rules
      • 2.10.5 Finding the Nth Term (Linear Sequences)
      • 2.10.6 Simple Geometric Progressions
    • 2.11 Coordinates

      • 2.11.1 Midpoints of Line Segments
    • 2.12 Linear Graphs

      • 2.12.1 Equations of Straight Lines
      • 2.12.2 Finding Line Equation from Point & Gradient
      • 2.12.3 Finding Line Equations from Two Points
      • 2.12.4 Parallel Line Equations
    • 2.13 Quadratic Graphs

      • 2.13.1 Interpreting Quadratics
  3. 3 Ratio, Proportion & Rates of Change

    • 3.1 Unit Conversion

      • 3.1.1 Using Clocks
      • 3.1.2 Calculating with Time
      • 3.1.3 Using Timetables
      • 3.1.4 Using Calendars
      • 3.1.5 Converting Units of Length
      • 3.1.6 Converting Units of Mass
      • 3.1.7 Converting Units of Capacity
      • 3.1.8 Metric Conversions
      • 3.1.9 Converting Units of Area & Volume
    • 3.2 Compound Units

      • 3.2.1 Estimating & Measuring
      • 3.2.2 Calculating Speed
      • 3.2.3 Best Buy & Unit Pricing
      • 3.2.4 Density, Mass & Volume
    • 3.3 Ratio Fundamentals

      • 3.3.1 Ratio Notation & Simplification
      • 3.3.2 Ratios as Fractions and Linear Equations
      • 3.3.3 Sharing in a Ratio
      • 3.3.4 Proportion Problems
    • 3.4 Advanced Ratio and Scale

      • 3.4.1 Map Scales & Real Distances
    • 3.5 Proportion

      • 3.5.1 Currency Conversion
      • 3.5.2 Direct Proportion
      • 3.5.3 Inverse Proportion
    • 3.6 Algebraic Proportion

      • 3.6.1 Direct Proportion
      • 3.6.2 Inverse Proportion
  4. 4 Geometry & Measures

    • 4.1 Area & Perimeter

      • 4.1.1 Perimeter of Simple Shapes
      • 4.1.2 Perimeter of Compound Shapes
      • 4.1.3 Area of Triangles
      • 4.1.4 Area of Rectangles & Parallelograms
      • 4.1.5 Area of Trapezia
      • 4.1.6 Area of Compound Shapes
      • 4.1.7 Area of Compound Shapes with Triangles
    • 4.2 Properties of Shapes

      • 4.2.1 Naming & Classifying Triangles
      • 4.2.2 Naming & Classifying Quadrilaterals
      • 4.2.3 Properties of Lines
      • 4.2.4 Shortest Distance from a Point to a Line
      • 4.2.5 Properties of 3D Shapes
    • 4.3 Angles

      • 4.3.1 Classification of Angles
      • 4.3.2 Angles on a Line & Around a Point
      • 4.3.3 Combining Angle Facts in Triangles
      • 4.3.4 Angles on Parallel Lines
      • 4.3.5 Interior & Exterior Angles in Polygons
    • 4.4 Trigonometry

      • 4.4.1 Pythagoras' Theorem
      • 4.4.2 Sides in Right-Angles Triangles
      • 4.4.3 Angles in Right-Angled Triangles
    • 4.5 Similarity & Congruence

      • 4.5.1 Congruent Shapes
      • 4.5.2 Length Scale Factors in Similar Shapes
    • 4.6 Circle Geometry

      • 4.6.1 Identifying Parts of a Circle
      • 4.6.2 Calculating Circumference
      • 4.6.3 Calculating Area of a Circle
      • 4.6.4 Calculating Arc Lengths
      • 4.6.5 Calculating Area of Sectors
    • 4.7 3D Representations

      • 4.7.1 Nets of 3D Shapes
    • 4.8 Surface Area

      • 4.8.1 Surface Area of Cubes & Cuboids
      • 4.8.2 Surface Area of Prisms
      • 4.8.3 Surface Area of Cylinders
    • 4.9 Volume

      • 4.9.1 Volume of Prisms
      • 4.9.2 Volume of Cylinders
    • 4.10 Transformations

      • 4.10.1 Translation using Vectors
      • 4.10.2 Rotations
      • 4.10.3 Enlargements & Positive Scale Factors
    • 4.11 Scale Drawings

      • 4.11.1 Scale Drawings
    • 4.12 Bearings

      • 4.12.1 Bearings
  5. 5 Probability

    • 5.1 Single Events

      • 5.1.1 Writing Probabilities as Fractions
      • 5.1.2 Mutually Exclusive Events
      • 5.1.3 Expected Results
    • 5.2 Combined Events

      • 5.2.1 Reading Venn Diagrams
      • 5.2.2 Venn Diagrams (Set Notation)
      • 5.2.3 Independent & Mutually Exclusive Events
    • 5.3 Experimental Probability

      • 5.3.1 Relative Frequency & Convergence
  6. 6 Statistics

    • 6.1 Averages & Range

      • 6.1.1 Range
      • 6.1.2 Median
      • 6.1.3 Mode
      • 6.1.4 Mean
      • 6.1.5 Interpreting Two-Way Tables
    • 6.2 Scatter Graphs

      • 6.2.1 Lines of Best Fit
    • 6.3 Collecting & Presenting Data

      • 6.3.1 Types of Data

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