Topic Content:
- Calculations Involving Standard Form
A number is said to be in standard form if the number is expressed in the form
\(\scriptsize A \: \times \: 10^n\)
Where A is a number between 1 and 10.
This is often written as 1 < A < 10 n is an integer (Positive or Negative)
A power of 10 (i.e. 10n) is often used in standard form.
Examples of positive powers of 10 are:
1 = 100
100 = 102
1000 = 103 etc.
Examples of negative powers of 10 are:
10-1 = \( \frac{1}{10} \scriptsize \: or \: 0.1 \)
10-2 = \( \frac{1}{100} \scriptsize \: or \: 0.01 \)
10-3 =\( \normalsize \frac{1}{1000} \scriptsize \: or \: \normalsize \frac{1}{10^3} \scriptsize = 0.001 \)
Hence 3500000 can be written in standard form as 3.5 × 106
Similarly, the number 0.00000067 can be written as 6.7 × 10-7
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