GCSE Lesson 1 - Standard Form and Prime Factors

In this lesson we shall cover

  • Powers of 10
  • Basic Index Laws
  • Standard Form - Large Numbers
  • Standard Form for Large Numbers - Multiplying and Dividing
  • Standard Form - Small Numbers
  • Standard Form for Small Numbers - Multiplying and Dividing
  • Prime Factor Decomposition
  • HCF - Highest common factor
  • LCM - Lowest common multiple
  • HCF and LCM of Large Numbers

Powers of 10

writing numbers as powers of 10, including negative powers of 10

Basic Index Laws

Understanding the laws of multiplying and dividing indices

Standard Form - Large Numbers

converting between standard form and ordinary form for large numbers, eg 370 000 000 000 000 000 000km

Standard Form for Large Numbers - Multiplying and Dividing

Here we begin to multiply and divide numbers in standard form for positive powers of 10

Standard Form - Small Numbers

converting between standard form and ordinary form for small numbers like 0.000 000 000 000 000 091

Standard Form for Small Numbers - Multiplying and Dividing

here we multiply and divide numbers in standard form with a negative power, also we show you the most common error students make on this topic

Prime Factor Decomposition

we break down a number into a product of prime numbers, also called prime factor trees

HCF - Highest common factor

We find the HCF of two or more numbers

LCM - Lowest common multiple

We find the LCM of two or more numbers

HCF and LCM of Large Numbers

Here we go through a different technique to find the HCF and LCM of larger numbers

Lesson Resources

You need to have access to view this lesson! Check if you have access by Logging in