Question

1. the atomic radius of a cesium atom is 0.000 298 micrometers. round this atomic radius to the nearest ten thousandth micrometer. write your answer in scientific notation.

Explanation:

Step1: Recall scientific - notation form

Scientific notation is of the form $a\times10^{n}$, where $1\leqslant|a|\lt10$ and $n$ is an integer.

Step2: Rewrite the number

The given number is $0.000298$. Move the decimal point 4 places to the right to get a number between 1 and 10. So, $a = 2.98$ and since we moved the decimal point 4 places to the right, $n=-4$.

Step3: Round to nearest ten - thousandth

The number $2.98$ rounded to the nearest ten - thousandth is $2.9800$. The scientific notation is $2.9800\times 10^{-4}$.

Answer:

$2.9800\times 10^{-4}$