Question

In the following exercise, round each number to the nearest (a) hundredth (b) tenth (c) whole number:

$1.638$

Short answer

The solution of (a), (b) and (c) are$1.64,1.6and2$ respectively.

Step-by-step solution

Part (a) Step 1. Given information

Round decimals:$1.638$

Part (a) Step 2. Calculation

We have,

$$\begin{gathered} 1.638 \\ =1.6\mathbf{3}8\sin ce3isinhundredthplace \\ =1.63\mathbf{8}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}since8isgreaterthanorequalto5,1willbeaddedto3 \\ =1.64 \end{gathered}$$

So,$1.638$rounded to the nearest hundredth is$1.64$

Part (b) Step 1. Calculation

We have,

$$\begin{gathered} 1.638 \\ =1.\mathbf{6}38\sin ce6isintenthplace \\ =1.6\mathbf{3}8\sin ce3islessthan5,1willnotbaddedto6 \\ =1.6 \end{gathered}$$

So,$1.638$rounded to the nearest tenth is$1.6$.

Part (c) Step 1. Calculation

We have,

$$\begin{gathered} 1.638 \\ =\mathbf{1}.638\sin ce1isinonesplace \\ =1.\mathbf{6}38\sin ce6isgreaterthanorequalto5,1willbeaddedto1 \\ =2 \end{gathered}$$

So,$1.638$rounded to the whole number is$2$.