Question

carry out each of the following conversions. report your answers using scientific notation. note: reference the si prefixes table for additional information. part 1 of 2 53. l to dl. be sure your answer has the correct number of significant figures.

Explanation:

Step1: Recall the conversion factor

We know that \(1\space L = 10\space dL\) (since "deci-" means \(10^{- 1}\), but when converting liters to deciliters, we use the inverse; \(1\space dL=0.1\space L\), so \(1\space L = 10\space dL\)).

Step2: Perform the conversion

We need to convert \(53\space L\) to \(dL\). Using the conversion factor, we multiply the number of liters by 10. So, \(53\space L\times\frac{10\space dL}{1\space L}\). The \(L\) units cancel out, and we get \(53\times10 = 530\space dL\). In scientific notation, \(530 = 5.3\times10^{2}\space dL\) (since 53 has two significant figures, we present the answer with two significant figures).

Answer:

\(5.3\times 10^{2}\)