Q14. - Algebra 1

Question

Express each number in scientific notation.

$\mathbf{418}\mathbf{,}\mathbf{000}\mathbf{,}\mathbf{000}$

Step-by-Step Solution

Answer

The required notation is represented by $\mathbf{4}\mathbf{.18}\mathbf{\times }{\mathbf{10}}^{\mathbf{8}}$.

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.

$4.18000000$

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.

$n=8$

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.

$4.18\times {10}^8$