What are the rules for using numerals in scientific notation?

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What are the rules for using numerals in scientific notation?

The rules for using numerals in scientific notation are as follows:

1. The number must be written in the form of a decimal number between 1 and 10, inclusive. This number is called the coefficient.

2. The coefficient is multiplied by 10 raised to a power, which represents the number of places the decimal point must be moved to obtain the original number.

3. If the original number is greater than 10, the power of 10 is positive. If the original number is less than 1, the power of 10 is negative.

4. The power of 10 is written as an exponent, usually in superscript form.

5. The coefficient should be written with only one digit to the left of the decimal point.

6. Zeros between the decimal point and the first non-zero digit are significant and should be included.

7. Zeros at the end of a number, after the decimal point, are also significant and should be included.

8. Zeros at the end of a number, before the decimal point, are not significant and should be omitted.

9. The scientific notation should be written in a concise and clear manner, using proper mathematical notation.

By following these rules, scientific notation allows for the representation of very large or very small numbers in a compact and standardized format, making it easier to work with and compare such numbers in scientific and mathematical contexts.