Normalisation in scientific notation refers to the process of writing a number in the standard form of a decimal number between 1 and 10 multiplied by a power of 10. This allows for easier comparison and computation of numbers with varying magnitudes.
To write a number in normalised scientific notation, you must first move the decimal point so that there is only one non-zero digit to the left of the decimal point. Then, count the number of decimal places you moved the decimal point and use this as the exponent in the power of 10. For example, the number 0.0000345 can be written in normalised scientific notation as 3.45 x 10^-5.
The purpose of using normalised scientific notation is to represent numbers in a concise and standardised way. This allows for easier comparison and computation of numbers with varying magnitudes, making it useful in scientific and mathematical calculations.
Normalisation and scientific notation are essentially the same, with the main difference being that in normalisation, the number is written as a decimal number between 1 and 10 multiplied by a power of 10, while in scientific notation, the number can also be written as a decimal number between 0 and 1 multiplied by a power of 10.
Yes, normalised scientific notation can be used for both large and small numbers. It is particularly useful for representing numbers with very large or very small magnitudes, as it allows for easier comparison and computation of these numbers.