Question

question drop the correct exponent in the box to create equality between the two si measurements of mass shown in the figure. provide your answer below: 1 dg = cg 10³ 10⁻³ 10 10⁻¹

Explanation:

Step1: Recall SI - prefix conversion

1 decigram (dg) = 0.1 g and 1 centigram (cg)=0.01 g.

Step2: Set up the conversion equation

Let \(1\ dg = x\ cg\). Since \(1\ dg = 0.1\ g\) and \(1\ cg=0.01\ g\), we have \(0.1\ g=x\times0.01\ g\). Solving for \(x\), we get \(x = \frac{0.1}{0.01}=10\). In exponential form, \(1\ dg = 10^1\ cg\).

Answer:

\(10\)