Question 111050
keep {{{two_ things}}} in mind when we round any number

{{{the _first_thing}}} is what we are rounding to?

In your example we are rounding to {{{tenths}}}, so we should end up with 

{{{one}}}{{{ digit}}} to the {{{right}}} of the {{{decimal}}}{{{ point}}}, 

because that is the {{{tenths }}}{{{place}}}.

{{{The _second _thing}}} to keep in mind is the {{{method}}} we are using 

{{{to}}}{{{ round}}} by. In your problem that is the {{{nearest}}}{{{ 

method}}}. 

In the nearest method we look at the {{{digit}}} to the {{{immediate}}}{{{ 

right}}} of the digit we will round to; for this example we will look at the 

{{{hundredths}}}{{{ digit}}}, and if it is a {{{five_ or_ greater}}} (5 

through 9) we {{{round }}}{{{up}}} (add 

{{{1}}} to the digit we are rounding and {{{drop}}}{{{ all}}} {{{the}}}{{{ 

digits}}}{{{ to}}}{{{ the}}}{{{ right}}}). 

If the digit to the right of our rounding digit is {{{less}}}{{{ than}}}{{{ 

5}}} (0 through 4) we {{{round}}}{{{ down}}} (drop all digits to the right of 

digit we are rounding).

So for your example:

  
number to be rounded to {{{nearest}}}{{{ tenth}}} is      {{{3.75}}}
  
number to the {{{right}}} of the {{{tenths}}} digit is     {{{5}}}
  
since the number is a {{{5}}}, we {{{round}}}{{{ up}}} to {{{3.8}}}

  
so our answer is {{{3.8}}}