Standard Form

Overview

The very large and very small numbers that arise in the mass production of confectionery are used to show how numbers can be simplified using standard form. The programme also shows how astronomers use standard form in calculations involving the huge dimensions of outer space. We see how to:

• express large and small numbers in standard form
• simplify real situations by using standard form notation
• multiply two numbers in standard form
• solve a problem by division of one number by another in standard form
• appreciate the size of numbers given in standard form

The programme could be used either to introduce or to review the topic, but some knowledge of index notation and the rules of indices is assumed. Students may benefit from some revision of how to combine powers before watching the programme. The examples show working with both positive and negative powers of 10, and use real-life problems to demonstrate the methods of multiplication and division with numbers in standard form. Mental calculation and use of a calculator are both shown. The programme avoids detailed descriptions of complex calculator functions relevant to the topic, although this may be a worthwhile area for discussion after watching the programme.

The content is linked to the requirements of GCSE Intermediate Mathematics. It includes tips for answering exam questions, and a discussion of a typical exam error ('Tick or Trash'). The programme demonstrates the relevance of the topic to people performing their jobs in real working environments.