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(scientific notation)
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GPT 3.5
Scientific notation is a way of expressing very large or very small numbers using powers of 10. It is written in the form of a number between 1 and 10 multiplied by a power of 10.
For example, the speed of light in a vacuum is approximately 299,792,458 meters per second. In scientific notation, this would be written as 2.99792458 x 10^8 m/s. Here, the number 2.99792458 is between 1 and 10, and the exponent 8 indicates that we multiply the number by 10 eight times.
Another example is the mass of the Earth, which is approximately 5.972 × 10^24 kilograms. In this case, the number 5.972 is between 1 and 10, and the exponent 24 indicates that we multiply the number by 10 twenty-four times.
Scientific notation allows us to represent very large or very small numbers in a concise and standardized manner, making it easier to work with and compare such values.
For example, the speed of light in a vacuum is approximately 299,792,458 meters per second. In scientific notation, this would be written as 2.99792458 x 10^8 m/s. Here, the number 2.99792458 is between 1 and 10, and the exponent 8 indicates that we multiply the number by 10 eight times.
Another example is the mass of the Earth, which is approximately 5.972 × 10^24 kilograms. In this case, the number 5.972 is between 1 and 10, and the exponent 24 indicates that we multiply the number by 10 twenty-four times.
Scientific notation allows us to represent very large or very small numbers in a concise and standardized manner, making it easier to work with and compare such values.
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