WEILAI Online Academic assistant
WEILAI Online Academic assistant
Back to 课程

Maths Gcse Aqa Foundation

0% Complete
0/0 Steps
  1. Scatter-Graphs-And-Correlation Aqa Foundation
    2 主题
  2. Statistical-Diagrams Aqa Foundation
    6 主题
  3. Averages-Ranges-And-Data Aqa Foundation
    7 主题
  4. Tree-Diagrams-And-Combined-Probability Aqa Foundation
    2 主题
  5. Simple-Probability-Diagrams Aqa Foundation
    4 主题
  6. Transformations Aqa Foundation
    4 主题
  7. Vectors Aqa Foundation
    3 主题
  8. Pythagoras-And-Trigonometry Aqa Foundation
    5 主题
  9. Congruence-Similarity-And-Geometrical-Proof Aqa Foundation
    5 主题
  10. Volume-And-Surface-Area Aqa Foundation
    3 主题
  11. Circles-Arcs-And-Sectors Aqa Foundation
    3 主题
  12. Area-And-Perimeter Aqa Foundation
    4 主题
  13. Bearings-Scale-Drawing-Constructions-And-Loci Aqa Foundation
    5 主题
  14. 2D-And-3D-Shapes Aqa Foundation
    4 主题
  15. Angles-In-Polygons-And-Parallel-Lines Aqa Foundation
    5 主题
  16. Symmetry-And-Shapes Aqa Foundation
    4 主题
  17. Exchange-Rates-And-Best-Buys Aqa Foundation
    2 主题
  18. Standard-And-Compound-Units Aqa Foundation
    5 主题
  19. Direct-And-Inverse-Proportion Aqa Foundation
    1 主题
  20. Ratio-Problem-Solving Aqa Foundation
    2 主题
  21. Sequences Aqa Foundation
    4 主题
  22. Solving-Inequalities Aqa Foundation
    3 主题
  23. Real-Life-Graphs Aqa Foundation
    4 主题
  24. Graphs-Of-Functions Aqa Foundation
    3 主题
  25. Linear-Graphs Aqa Foundation
    3 主题
  26. Coordinate-Geometry Aqa Foundation
    3 主题
  27. Functions Aqa Foundation
    1 主题
  28. Forming-And-Solving-Equations Aqa Foundation
    2 主题
  29. Simultaneous-Equations Aqa Foundation
    1 主题
  30. Solving-Quadratic-Equations Aqa Foundation
    1 主题
  31. Linear-Equations Aqa Foundation
    3 主题
  32. Algebraic-Reasoning Aqa Foundation
    1 主题
  33. Rearranging-Formulas Aqa Foundation
    1 主题
  34. Introduction Aqa Foundation
    10 主题
  35. Factorising Aqa Foundation
    3 主题
  36. Expanding-Brackets Aqa Foundation
    2 主题
  37. Algebraic-Roots-And-Indices Aqa Foundation
    1 主题
  38. Using-A-Calculator Aqa Foundation
    1 主题
  39. Exact-Values Aqa Foundation
    1 主题
  40. Rounding-Estimation-And-Error-Intervals Aqa Foundation
    4 主题
  41. Fractions-Decimals-And-Percentages Aqa Foundation
    2 主题
  42. Simple-And-Compound-Interest-Growth-And-Decay Aqa Foundation
    4 主题
  43. Percentages Aqa Foundation
    5 主题
  44. Fractions Aqa Foundation
    6 主题
  45. Powers-Roots-And-Standard-Form Aqa Foundation
    4 主题
  46. Types-Of-Number-Prime-Factors-Hcf-And-Lcm Aqa Foundation
    6 主题
  47. Number-Operations Aqa Foundation
    9 主题
课 Progress
0% Complete

Exam code:8300

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%22middle%22%20x

Responses

您的邮箱地址不会被公开。 必填项已用 * 标注