Question

Express each number in scientific notation.

$\mathbf{0}\mathbf{.00000054}$

Short answer

The required notation is represented by$\mathbf{5}\mathbf{.4}\mathbf{\times }{\mathbf{10}}^{\mathbf{-}\mathbf{7}}$.

Step-by-step solution

Step 1. Change the position of the decimal.

The provided number contains 5 as its first value that is not zero so change the position of the decimal and put that just after the first value.

$00000005.4$

Step 2. Calculate the value of n.

The required notation will be in the form of $a\times {10}^n$ in which a is representing the obtained number by changing the position of the decimal.

The value of n is represented by the count associated with the numbers that are present before the decimal.

The value of n will be negative as the decimal travelled in the right direction. So, write the required value associated with n.

$n=-7$

Step 3. Write the required notation.

Substitute the obtained value of n into $a\times {10}^n$without mentioning the zeros that are not required to write the required notation.

$5.7\times {10}^{-7}$