In standard notation, a number is completely represented by numerical digits. 64,100 and 2,000,000 are instances of numbers written in standard notation.
Standard notation is frequently employed in daily mathematics. When working with huge numbers, though, it might be difficult to type out each digit. In order to make writing numbers less cumbersome, scientists and mathematicians frequently employ scientific notation.
If a person knows a number’s standard notation, he can readily translate it to scientific notation. First, he must write the number’s digits, followed by a decimal after the first digit. This must be followed by the symbol for multiplication (x) and the number 10 raised to a specific power. Writing the 10 to the correct power indicates how many places the decimal point should be moved. The 10 and its power are represented by the notation 10x power. 7 x 102 is an example of a number written in scientific notation.
A number written in scientific notation can be translated to standard notation with relative ease. The digits must be written first, followed by the correct number of zeros, so that the decimal point is correctly placed. For instance, 7 x 102 can be expressed as 700. The 7 appears first. The 10 is written to the second power, which requires the decimal point to be moved twice in the standard form of the number.