Scientific notation is a mathematical term used to represent numbers with large absolute values. This method uses exponential notation, takes 10 as the cardinal number, uses power to represent fractions, and writes numbers as expressions composed of integers and fractions.
Specifically, the scientific notation is expressed as a × 10 n, where a is a number between 1 and 10, and n is an integer number.
In this expression, the exponent n of 10 is a number used to represent the integer part, and a is a number used to represent the decimal part. In this way, a large number can be expressed by a short expression, and a small number can also be expressed by a short expression.
For example, 3 140000 is expressed by scientific notation and can be written as 3. 14× 10 6. In this expression, the exponent 6 of 10 indicates that this number is a 6-bit integer, and 3. 14 indicates the fractional part of this number. Similarly, 0.000003 is expressed as scientific notation and can be written as 3× 10-6. In this expression, the exponent -6 of 10 indicates that the number has six decimal places, and 3 indicates the integer part of the number.
In addition to the above expressions, scientific notation can also be represented by the symbol "[a] × 10 N". Where "[a]" means that A is an integer, and if A is not an integer, "[a]" means that the integer part of A is taken.
For example, if 3. 14 159 is expressed by scientific notation, it can be written as [3.14159] ×10/. In this expression, [3. 14 159] "means that the integer part of 3. 14 159 is 3, and the exponent of 10 means that this number has 1 bit.
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When using scientific notation, we need to pay attention to the following points:
The value of a must be between 1 and 10 (inclusive). If a is greater than or equal to 10 or less than or equal to 0. 1, other notation is needed.
When a is equal to 1, it can be omitted. For example, 2000 is expressed by scientific notation, which can be written as 2× 10 3.
When n is negative, it means that the decimal point moves n places to the left. For example, 0.0003 is expressed by scientific notation and can be written as 3× 10-4.
When using scientific notation, numbers are generally written as expressions composed of integers and fractions, which can facilitate people to better understand the meaning and scope of this number.