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Maths Gcse Edexcel Foundation

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  1. Scatter-Graphs-And-Correlation Edexcel Foundation
    2 主题
  2. Statistical-Diagrams Edexcel Foundation
    8 主题
  3. Statistics-Toolkit Edexcel Foundation
    7 主题
  4. Tree-Diagrams-And-Combined-Probability Edexcel Foundation
    2 主题
  5. Simple-Probability-Diagrams Edexcel Foundation
    4 主题
  6. Probability-Toolkit Edexcel Foundation
    3 主题
  7. Transformations Edexcel Foundation
    4 主题
  8. Vectors Edexcel Foundation
    3 主题
  9. Volume-And-Surface-Area Edexcel Foundation
    3 主题
  10. Circles-Arcs-And-Sectors Edexcel Foundation
    3 主题
  11. Area-And-Perimeter Edexcel Foundation
    4 主题
  12. Pythagoras-And-Trigonometry Edexcel Foundation
    5 主题
  13. Congruence-Similarity-And-Geometrical-Proof Edexcel Foundation
    5 主题
  14. Bearings-Scale-Drawing-Constructions-And-Loci Edexcel Foundation
    5 主题
  15. 2D-And-3D-Shapes Edexcel Foundation
    4 主题
  16. Angles-In-Polygons-And-Parallel-Lines Edexcel Foundation
    5 主题
  17. Geometry-Toolkit Edexcel Foundation
    4 主题
  18. Exchange-Rates-And-Best-Buys Edexcel Foundation
    2 主题
  19. Standard-And-Compound-Units Edexcel Foundation
    5 主题
  20. Direct-And-Inverse-Proportion Edexcel Foundation
    1 主题
  21. Ratio-Problem-Solving Edexcel Foundation
    2 主题
  22. Ratio-Toolkit Edexcel Foundation
    3 主题
  23. Sequences Edexcel Foundation
    4 主题
  24. Solving-Inequalities Edexcel Foundation
    3 主题
  25. Real-Life-Graphs Edexcel Foundation
    4 主题
  26. Graphs-Of-Functions Edexcel Foundation
    3 主题
  27. Linear-Graphs Edexcel Foundation
    3 主题
  28. Coordinate-Geometry Edexcel Foundation
    3 主题
  29. Functions Edexcel Foundation
    1 主题
  30. Forming-And-Solving-Equations Edexcel Foundation
    2 主题
  31. Simultaneous-Equations Edexcel Foundation
    1 主题
  32. Solving-Quadratic-Equations Edexcel Foundation
    1 主题
  33. Linear-Equations Edexcel Foundation
    3 主题
  34. Algebraic-Reasoning Edexcel Foundation
    1 主题
  35. Rearranging-Formulas Edexcel Foundation
    1 主题
  36. Factorising Edexcel Foundation
    3 主题
  37. Expanding-Brackets Edexcel Foundation
    2 主题
  38. Algebraic-Roots-And-Indices Edexcel Foundation
    1 主题
  39. Algebra-Toolkit Edexcel Foundation
    4 主题
  40. Using-A-Calculator Edexcel Foundation
    1 主题
  41. Exact-Values Edexcel Foundation
    1 主题
  42. Rounding-Estimation-And-Error-Intervals Edexcel Foundation
    4 主题
  43. Fractions-Decimals-And-Percentages Edexcel Foundation
    2 主题
  44. Simple-And-Compound-Interest-Growth-And-Decay Edexcel Foundation
    4 主题
  45. Percentages Edexcel Foundation
    5 主题
  46. Fractions Edexcel Foundation
    6 主题
  47. Powers-Roots-And-Standard-Form Edexcel Foundation
    4 主题
  48. Types-Of-Number-Prime-Factors-Hcf-And-Lcm Edexcel Foundation
    6 主题
  49. Number-Toolkit Edexcel Foundation
    9 主题
课 Progress
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Exam code:1MA1

Operations with standard form

How do I perform calculations with numbers in standard form?

  • Your calculator can be used to help you carry out calculations with numbers written in standard form

  • Make use of brackets around each number, and use the box enclose cross times 10 to the power of x end enclose button to enter numbers in standard form

    • e.g. open parentheses 3 cross times 10 to the power of 8 close parentheses cross times open parentheses 2 cross times 10 to the power of negative 3 end exponent close parentheses 

    • You can instead use the standard multiplication and index buttons

  • If the answer produced by your calculator is not in standard form, but the answer requires it:

    • Either rewrite it using the standard process

      • e.g. 3 820 000 = 3.82 × 106

    • Or rewrite a in standard form, then apply the laws of indices

      • e.g. 243 × 1020 = (2.43 × 102) × 1020 = 2.43 × 1022

Examiner Tips and Tricks

  • Calculations with numbers written in standard form will only appear on the calculator paper

    • Therefore use your calculator wherever possible!

    • However you can be asked to convert into or out of standard form in the non-calculator paper

Worked Example

Use your calculator to find fraction numerator 1.275 cross times 10 to the power of 6 over denominator 3.4 cross times 10 to the power of negative 2 end exponent end fraction.

Write your answer in the form <img alt=”A cross times 10 to the power of n” data-mathml='<math ><semantics><mrow><mi>A</mi><mo>&#215;</mo><msup><mn>10</mn><mi>n</mi></msup></mrow><annotation encoding=”application/vnd.wiris.mtweb-params+json”>{“language”:”en”,”fontFamily”:”Times New Roman”,”fontSize”:”18″,”autoformat”:true}</annotation></semantics></math>’ height=”23″ role=”math” src=”data:image/svg+xml;charset=utf8,%3Csvg%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%22%20xmlns%3Awrs%3D%22http%3A%2F%2Fwww.wiris.com%2Fxml%2Fmathml-extension%22%20height%3D%2223%22%20width%3D%2258%22%20wrs%3Abaseline%3D%2217%22%3E%3C!–MathML%3A%20%3Cmath%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmo%3E%26%23xD7%3B%3C%2Fmo%3E%3Cmsup%3E%3Cmn%3E10%3C%2Fmn%3E%3Cmi%3En%3C%2Fmi%3E%3C%2Fmsup%3E%3C%2Fmath%3E–%3E%3Cdefs%3E%3Cstyle%20type%3D%22text%2Fcss%22%3E%40font-face%7Bfont-family%3A’math13b8a614226a953a8cd9526fca6’%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMi7iBBMAAADMAAAATmNtYXDEvmKUAAABHAAAADRjdnQgDVUNBwAAAVAAAAA6Z2x5ZoPi2VsAAAGMAAAAl2hlYWQQC2qxAAACJAAAADZoaGVhCGsXSAAAAlwAAAAkaG10eE2rRkcAAAKAAAAACGxvY2EAHTwYAAACiAAAAAxtYXhwBT0FPgAAApQAAAAgbmFtZaBxlY4AAAK0AAABn3Bvc3QB9wD6AAAEVAAAACBwcmVwa1uragAABHQAAAAUAAADSwGQAAUAAAQABAAAAAAABAAEAAAAAAAAAQEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAgICAAAAAg1UADev96AAAD6ACWAAAAAAACAAEAAQAAABQAAwABAAAAFAAEACAAAAAEAAQAAQAAANf%2F%2FwAAANf%2F%2F%2F8qAAEAAAAAAAABVAMsAIABAABWACoCWAIeAQ4BLAIsAFoBgAKAAKAA1ACAAAAAAAAAACsAVQCAAKsA1QEAASsABwAAAAIAVQAAAwADqwADAAcAADMRIRElIREhVQKr%2FasCAP4AA6v8VVUDAAACAIAAVQLVAoAAAwAHAEYYsAEUALEAABMQsQAJ5LEAARMQsAQ8sQYI9LACPDABsQgBExCxAAP2sAc8sQEF9bAGPLIFBwAQ9LACPLEJA%2BaxBAX1sAM8EzMBIxEzASOAVQIAVVX%2BAFUCgP3VAiv91QAAAQAAAAEAANV4zkFfDzz1AAMEAP%2F%2F%2F%2F%2FWOhNz%2F%2F%2F%2F%2F9Y6E3MAAP8gBIADqwAAAAoAAgABAAAAAAABAAAD6P9qAAAXcAAA%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%2BgAAAAAAAAAAAAAAAAAAAAAAAAAAuQcRAACNhRgAsgAAABUUE7EAAT8%3D)format(‘truetype’)%3Bfont-weight%3Anormal%3Bfont-style%3Anormal%3B%7Dtext%7Bfill%3A%23000000%3B%3C%2Fstyle%3E%3C%2Fdefs%3E%3Ctext%20font-family%3D%22Times%20New%20Roman%22%20font-size%3D%2218%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%226.5%22%20y%3D%2217%22%3EA%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13b8a614226a953a8cd9526fca6%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2222.5%22%20y%3D%2217%22%3E%26%23xD7%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Times%20New%20Roman%22%20font-size%3D%2218%22%20text-anchor%3D%22middl

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