Question

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

$5.781$

Short answer

The solution for (a) hundredth, (b) tenth and (c) whole number number are$5.78,5.8and6$ respectively.

Step-by-step solution

Part (a) Step 1. Given information

Round decimals:$5.781$

Part (a) Step 2. Calculation

We have, $$\begin{gathered} 5.781 \\ =5.7\mathbf{8}1\sin ce8isinhundredthplace \\ =5.78\mathbf{1}1isremoved\sin ceitislessthan5 \\ =5.78 \end{gathered}$$

So, $5.781$rounded to the nearest hundredth is$5.78$

Part (b) Step 1. Calculation

We have,

$$\begin{gathered} 5.781 \\ =5.\mathbf{7}81\sin ce7isintenthplace \\ =5.7\mathbf{81}\sin ce8isgreaterthanorequalto5,1willbeaddedto7 \\ =5.8 \end{gathered}$$

So,$5.781$rounded to nearest tenth is$5.8$

Part (c) Step 1. Calculation

We have,

$$\begin{gathered} 5.781 \\ =\mathbf{5}\mathbf{.}781\sin ce5isinonesplace \\ =5.\mathbf{7}81\sin ce7isgreaterthanorequalto5,1willbeaddedto5 \\ =6 \end{gathered}$$

So, $5.781$rounded to nearest whole number is $6$.