Question

Round 15.2175 to the nearest ⓐ thousandth ⓑ hundredth ⓒ tenth.

Short answer

The result is as follows

a) 15.22

b) 15.2

c) 15

Step-by-step solution

Step 1. Given information 

The given number is 15.2175

We have to round the number to nearest

a) Hundredth

b) Tenth

c) Whole number

Step 2. Rounding to nearest hundredth 

$\begin{array}{l}\text{Locatethehundredthsplaceandunderlinethedigittotheright}\\ \Rightarrow 15.21\underset{\_}{7}5\\ \text{Since7isthanorequalto5,add1tothe1.}\\ \Rightarrow 15.22\underset{\_}{7}5\\ \text{Rewritethenumber,deletingalldigitstotherightoftheroundingdigit}.\\ \Rightarrow 15.22\end{array}$

Step 3. Rounding to nearest tenth 

$\begin{array}{l}\text{Locatethetenthplaceandunderlinethedigittotheright}\\ \Rightarrow 15.2\underset{¯}{1}75\\ \text{Since1isnotgreaterthanorequalto5,donotadd1tothe2.}\\ \Rightarrow 15.2\underset{¯}{1}75\\ \text{Rewritethenumber,deletingalldigitstotherightoftheroundingdigit}.\\ \Rightarrow 15.2\end{array}$

Step 4. Rounding to the whole number 

$\begin{array}{l}\text{Locatetheonesplaceandunderlinethedigittotheright}\\ \Rightarrow 15.\underset{¯}{2}175\\ \text{Since2isnotgreaterthanorequalto5,donotadd1tothe5.}\\ \Rightarrow 15.\underset{\_}{2}175\\ \text{Rewritethenumber,deletingalldigitstotherightoftheroundingdigit}.\\ \Rightarrow 15\end{array}$