Standard Form

This lesson can be used for revision for the higher Maths GCSE. The examples are quick and concise with exam style questions, go to GCSE Maths if you need more in-depth explanations.

How to perform calculations with standard form?
Standard form is a way of writing big or small numbers quickly and efficiently.

Example 1:
(a) Write the number 0.00037 in standard form.
(b) Write 8.25 × 10³ as an ordinary number.
(c) Work out (2.1 × 10⁸) × (6 × 10^-5). Write your answer in standard form.

Example 2:
(a) Write 6.43 × 10² as an ordinary number
(b) Work out the value of 2 × 10⁷ × 8 × 10^-12. Give your answer in standard form.

Example 3:
(a) Write 8.2 × 10⁵ as an ordinary number.
(b) Write 0.000 376 in standard form.
(c) Work out the value of (2.3 × 10¹²) ÷ (4.6 × 10³). Give your answer in standard form.

Example 4:
(a) Write 7900 in standard form.
(b) Write 0.000 35 in standard form.
(c) Work out \(\frac{{4 \times {{10}^3}}}{{8 \times {{10}^{ - 5}}}}\). Give your answer in standard form.

Example 5:
\({p^2} = \frac{{x - y}}{{xy}}\)
x = 8.5 × 10⁹
y = 4 × 10⁸
Find the value of p.
Give your answer in standard form correct to 2 significant figures. Go to next lesson