Question

Express each number in scientific notation.

234,000

Short answer

The required notation is represented by $\mathbf{2}\mathbf{.34}\mathbf{\times }{\mathbf{10}}^{\mathbf{5}}$.

Step-by-step solution

Step 1. Change the position of the decimal.

The provided number contains 4 as its final value that is not zero so change the position of the decimal and put that just before the final value.

$2.34000$

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 after the decimal.

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

$n=5$

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.

$2.34\times {10}^5$