Operations-With-Standard-Form Wjec-Eduqas Foundation

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Exam code:C300

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>×</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

Maths Gcse Wjec-Eduqas Foundation

Operations-With-Standard-Form Wjec-Eduqas Foundation