Question

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

$63.479$

Short answer

The solutions of (a), (b) and (c) are$63.48,63.5and63$ respectively.

Step-by-step solution

Part (a) Step 1. Given information

Round decimals:$63.479$

Part (a) Step 2. Calculation

We know,

$$\begin{gathered} 63.479 \\ =63.4\mathbf{7}9\sin ce7isinhundredthplace \\ =63.47\mathbf{9}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}since9isgreaterthanorequalto5,add1tothe7 \\ =63.48 \end{gathered}$$

So, $63.479$round to the nearest hundredth is$63.48$

Part (b) Step 1. Calculation

We have,

$$\begin{gathered} 63.479 \\ =63.\mathbf{4}79\sin ce4isintenthplace \\ =63.4\mathbf{7}9\sin ce7isgreaterthanorequalto5,add1tothe4 \\ =63.5 \end{gathered}$$

So, $63.479$round to the nearest tenth is$63.5$

Part (c) Step 1. Calculation

We have,

$$\begin{gathered} 63.479 \\ =6\mathbf{3}.479\sin ce3isinonesplace \\ =63.\mathbf{4}79\sin ce4islessthan5 \\ =63 \end{gathered}$$

So, $63.479$round to the nearest whole number is$63$.