Here are the essential concepts you must grasp in order to answer the question correctly.
Scientific Notation
Scientific notation is a method of expressing numbers that are too large or too small in a compact form. It is written as the product of a number between 1 and 10 and a power of ten. For example, the number 670,000 can be expressed as 6.7 x 10^5, where 6.7 is the coefficient and 5 is the exponent indicating the number of places the decimal point has moved.
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Significant Figures
Significant figures are the digits in a number that contribute to its precision. In scientific notation, only the digits in the coefficient are considered significant. For instance, in the number 6.7 x 10^5, both digits '6' and '7' are significant, which helps convey the accuracy of the measurement or value being represented.
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Exponents
Exponents are a mathematical notation that indicates how many times a number, known as the base, is multiplied by itself. In scientific notation, the exponent represents the power of ten that scales the coefficient. For example, in 6.7 x 10^5, the exponent '5' indicates that 10 is multiplied by itself five times, effectively shifting the decimal point five places to the right.
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