Question

the atomic radius of a cesium atom is 0.000298 micrometers. round this atomic radius to the nearest ten thousandth micrometer. enter your answer in scientific notation.

Explanation:

Step1: Identify the ten - thousandths place

The number is 0.000298. The ten - thousandths place digit is 2 and the digit to its right (hundred - thousandths place) is 9.

Step2: Apply the rounding rule

Since 9 ≥ 5, we round up the digit in the ten - thousandths place. So 0.000298 rounds to 0.0003.

Step3: Convert to scientific notation

0.0003 can be written as \(3\times10^{- 4}\) in scientific notation.

Answer:

\(3\times10^{-4}\)