Operations with Standard Form (OCR GCSE Maths: Foundation): Revision Note

Exam code: J560

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 ×10x button to enter numbers in standard form

    • e.g. (3×108)×(2×103) 

    • 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 1.275×1063.4×102.

Write your answer in the form A×10n, where 1A<10 and n is an integer.

Answer:

Input the calculation into your calculator, so it appears exactly as in the question
Your calculator may or may not present the answer in standard form
Copy the digits, especially the zeros, carefully

1.275×1063.4×102=37 500 000

Rewrite in standard form

3.75×107

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Jamie Wood

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Dan graduated from the University of Oxford with a First class degree in mathematics. As well as teaching maths for over 8 years, Dan has marked a range of exams for Edexcel, tutored students and taught A Level Accounting. Dan has a keen interest in statistics and probability and their real-life applications.