Question

Convert to standard notation: 1.3 x 102

Answer 1

The form of the standard notation is

$a\times10^n$

Where a is a number between 1 and 10

n is an integer

At first, we will multiply 1.3 by 1002

We can do the multiplication as

$\begin{gathered} 102=(100+2) \\ 1.3(100+2)=1.3\times100+1.3\times2 \\ 1.3\times102=130+2.6=132.6 \end{gathered}$

Now, we will move the decimal point 2 places to the left and multiply the number by 10^2

$132.6=1.32\times10^2$

The answer in the form of the standard notation is

$1.32\times10^2$