Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

10. the distance from the sun to the nearest star (proxima centauri) is…

Question

  1. 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

Explanation:

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, \(399000000000=3.99\times 10^{11}\).

Answer:

11