Question

Round 6.582 to the nearest ⓐ hundredth ⓑ tenth ⓒ whole number.

Short answer

The result is as follows

a) 6.58

b) 6.6

c) 7

Step-by-step solution

Step 1. Given information

The given number is 6.582

We have to round the number to nearest

a) Hundredth

b) Tenth

c) Whole number

Step 2. Rounding to nearest hundredth

$\begin{array}{l}\text{Locatethehundredthsplaceandunderlinethedigittotheright}\\ \Rightarrow 6.58\underset{¯}{2}\\ \text{Since2isnotgreaterthanorequalto5,donotadd1tothe8.}\\ \Rightarrow 6.58\underset{¯}{2}\\ \text{Rewritethenumber,deletingalldigitstotherightoftheroundingdigit}.\\ \Rightarrow 6.58\end{array}$

Step 3. Rounding to nearest tenth

$\begin{array}{l}\text{Locatethetenthplaceandunderlinethedigittotheright}\\ \Rightarrow 6.5\underset{¯}{8}2\\ \text{Since8isgreaterthanorequalto5,add1tothe5.}\\ \Rightarrow 6.6\underset{¯}{8}2\\ \text{Rewritethenumber,deletingalldigitstotherightoftheroundingdigit}.\\ \Rightarrow 6.6\end{array}$

Step 4. Rounding to the whole number

$\begin{array}{l}\text{Locatetheonesplaceandunderlinethedigittotheright}\\ \Rightarrow 6.\underset{¯}{5}82\\ \text{Since5isgreaterthanorequalto5,add1tothe6.}\\ \Rightarrow 7.\underset{\_}{5}82\\ \text{Rewritethenumber,deletingalldigitstotherightoftheroundingdigit}.\\ \Rightarrow 7\end{array}$