# What is 7.351 round to 1 decimal place?

Jul 13, 2016

7.4

#### Explanation:

Given: $7.351$

Just for demonstration I am going to insert the part of the number we are interested in inside square brackets.

Write $7.351 \text{ as } \left[\textcolor{w h i t e}{\frac{2}{2}} 7.3\right] 51$

The number immediately to the right of the closing bracket is 5.

The general rule is:

$\textcolor{b r o w n}{\text{If the trailing number ( my choice of wording) is 5 or more then we}}$
$\textcolor{b r o w n}{\text{round up. If the 'trailing number' is less than 5 we round down.}}$
$\textcolor{b r o w n}{\text{By 'rounding down' they mean that the number part inside the}}$
$\textcolor{b r o w n}{\text{brackets is left as it is and the number part outside is discarded}}$

$\text{ "5>=5" so round up}$

" "bar(ul(|color(white)(2/2) "So "7.351 =7.4" to 1 decimal place"color(white)(2/2|))| )
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Just to make the process clearer

Suppose we had $\left[\textcolor{w h i t e}{\frac{2}{2}} 7.3\right] 21$

$2 < 5$ so we round down giving $7.3$

Suppose we had $\left[\textcolor{w h i t e}{\frac{2}{2}} 7.3\right] 61$

$6 > 5$ so we round up giving $7.4$