Question

Express each number in standard form.

$\mathbf{9}\mathbf{.1}\mathbf{\times }{\mathbf{10}}^{\mathbf{-}\mathbf{5}}$

Short answer

The required form is represented by $\mathbf{0}\mathbf{.000091}$.

Step-by-step solution

Step 1. Analyze the provided notation.

The provided notation is in the form of$a\times {10}^n$ and the value of n is negative which means that the decimal will travel to the left side till 5 values.

Step 2. Change the position of the decimal.

Make the travelling of the decimal to the left side till 5 values.

$0.000091$

Step 3. Write the conclusion.

The obtained number cannot be simplified further which means that it is the required form.