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Question
- the distance from the sun to the nearest star (proxima centauri) is 39,900,000,000,000 km. what is the value of the exponent when the distance is written in scientific notation? 11 13 -11 -13 clear all
Step1: Recall scientific - notation form
Scientific notation is \(a\times10^{n}\), where \(1\leqslant|a|\lt10\) and \(n\) is an integer.
Step2: Rewrite 399000000000
Move the decimal point to the left until \(a\) is between 1 and 10. For 399000000000, we get \(a = 3.99\). We moved the decimal point 11 places to the left.
So, \(399000000000=3.99\times 10^{11}\).
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