Question

a student is analyzing data from a density experiment. the student records a mass of 25.79 g and a volume of 86.4 ml, and calculates a density of 0.29849537037 g/ml. which is the correct way to record the density using scientific notation? 2.98 g/ml x 10^-1 0.29 g/ml x 10^1 0.29 g/ml x 10^0 2.98 g/ml x 10^1

Explanation:

Step1: Recall scientific - notation rule

Scientific notation is \(a\times10^{n}\), where \(1\leqslant|a|\lt10\) and \(n\) is an integer.

Step2: Adjust the given number

The given density is \(0.29849537037\ g/mL\). To get \(a\) in the range \(1\leqslant|a|\lt10\), we move the decimal point one place to the right, so \(a = 2.9849537037\approx2.98\). Since we moved the decimal point one place to the right, \(n=- 1\). So the scientific - notation is \(2.98\ g/mL\times10^{-1}\).

Answer:

A. 2.98 g/mL x 10⁻¹