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Scientific notation I | Year 9 Maths 9 | NJ Wildberger

1,596 views · Published 8 May 2014 · 47:31 · Indexed 25 September 2026

Channel: Insights into Mathematics · 2014 · Education

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Scientific notation is a compact alternative way of writing numbers, especially useful for very small and very large numbers that appear in science. An example is 4.5x10^6, roughly the population of Sydney. 

Scientific notation builds on the index laws we have learnt about in previous videos, in particular understanding powers of ten, both positive and negative, and how multiplying and dividing by these affects the position of the decimal point in a number.

Along the way we talk about the sizes of other big, and not so big cities around the world and in Australia. We also connect with percentages, namely 10% and 1%.

Video Content:

00:00 Introduction
13:58 Multiplying a number by 10
25:57 Multiplying and dividing by 100
30:32 Dividing a number by 100
35:50 Multiplying and dividing by powers of 10
40:16 Dividing by 10⁴

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