standard form
all terms are in order from greatest to least by the degree
In mathematics, standard form is a way of representing numbers using a specific format. In standard form, a number is written in the following form:
a × 10^n
where ‘a’ is a number between 1 and 10 (inclusive), and ‘n’ is an integer (positive, negative or zero).
For example, the number 2,345 can be written in standard form as:
2.345 × 10^3
Explanation: since the decimal point is after the 5, we move the decimal point three places to the right to get 2,345, and multiply by 10^3 (i.e., 1,000) to get 2.345 × 10^3.
Note that in standard form, the exponent ‘n’ indicates the number of places that the decimal point needs to be moved to get the original number. If ‘n’ is positive, we move the decimal point to the right; if ‘n’ is negative, we move it to the left; and if ‘n’ is zero, we don’t move the decimal point.
Standard form is commonly used to express very large or very small numbers, as it makes it easier to compare them and perform arithmetic operations. It is also used in science and engineering to represent numbers with many digits or with a large range of magnitude, such as distances in astronomy or masses in physics.
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