Scientific notation is a numerical representation method, which is usually used to represent very large or very small numbers. It is based on the form that the number is multiplied by the power of 10, that is, the integer power of 10.

The general format of scientific counting method is AX 10 N, where a is an integer or decimal less than 10 (called mantissa) and n is an integer (called exponent). An index can be a positive number, indicating a large number, or a negative number, indicating a decimal number. For example, 30,000 can be written as 3x 10 4, and 0.000004 can be written as 4x10-66.

The main reason for using scientific counting method is to express very large or very small numbers more conveniently. When numbers are too large or too small, common representations may become lengthy or difficult to understand. Scientific counting can make these figures easier to compare and calculate. If the value of a is less than 1, then the value of n will be negative, and the smaller the absolute value, the greater the value.

For example, 0.00 1 can be represented by 1x 10-3. If the value of a is greater than or equal to 1, the value of n is positive, and the greater the absolute value, the greater the value. For example, 10000 can be represented by 1x 10 4. Generally speaking, scientific counting method is an important mathematical concept, which is widely used in science, engineering and finance.

Write a number whose absolute value is greater than 10 in the form of a× 10n, where a is a number with only one integer digit (i.e. 1 ≤| A | < 10). This notation is called scientific notation (where n is less than the original number 1). When we want to use more numbers to mark or calculate bigger or smaller things, we can use scientific notation to avoid wasting a lot of space and time.

According to the concept of scientific counting method, 1 ≤| A | < 10, so we determine that a is 1.08, the original digit is 9, and n is less than it 1, so it is 8. The original number is negative. According to the concept of scientific counting method, 1 ≤| A | < 10, we determine that a is -3.2. The original number is 8, n is less than it, and 1 is 7.