Standard notation is a form of writing a given number, an equation, or an expression in a form that follows certain rules. It is the notation in which we normally write numbers. For example, 4.5 billion years is written as 4,500,000,000 years. Writing a large number like 4.5 billion in its number form is not just ambiguous but also time-consuming, so to represent very large or very small numbers concisely, we use the standard notation. In Britain, standard notation is also known as scientific notation where a large number is written in the form of power of 10. Depending upon which mathematical concept we are dealing with, the standard notation will vary.
To convert a number from scientific notation to standard notation, we can use the following steps:
- Move the decimal point in the number to the right if the exponent is positive, or to the left if the exponent is negative.
- Add zeros to the left or right of the number as needed to fill in any missing digits.
- Remove the exponent and adjust the decimal point as needed.
To convert a number from standard notation to scientific notation, we can use the following steps:
- Move the decimal point in the number to the left or right so that there is only one non-zero digit to the left of the decimal point.
- Count the number of places the decimal point was moved. This is the exponent.
- Write the number in the form a x 10^b, where a is the number with one non-zero digit to the left of the decimal point, and b is the number of places the decimal point was moved.
In summary, standard notation is a way of writing numbers that follows certain rules, and it is used to represent very large or very small numbers concisely. It is also known as scientific notation in Britain. To convert between standard and scientific notation, we can use specific steps depending on the direction of the conversion.
