Question

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

$0.697$

Short answer

The solutions of (a), (b) and (c) are$0.70,0.7and1$ respectively.

Step-by-step solution

Part (a) Step 1. Given information

Round decimals:$0.697$

Part (a) Step 2. Calculation

We have,

$$\begin{gathered} 0.697 \\ =0.6\mathbf{9}7\sin ce9isinhundredthplace \\ =0.69\mathbf{7}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}since7isgreaterthanorequalto5,add1to9 \\ =0.70 \end{gathered}$$

So,$0.697$round to the nearest hundredth is$0.70$

Part (b) Step 1. Calculation

We have,

$$\begin{gathered} 0.697 \\ =0.\mathbf{6}97\sin ce6isintenthplace \\ =0.6\mathbf{9}7\sin ce9isgreaterthanorequalto5,add1tothe6 \\ =0.7 \end{gathered}$$

So,$0.697$rounded to the nearest tenth is$0.7$

Part (c) Step 1. Calculation

We have,

$$\begin{gathered} 0.697 \\ =\mathbf{0}.697\sin ce0isinonesplace \\ =0.\mathbf{6}97\sin ce6isgreaterthanorequalto5,add1tothe0 \\ =1 \end{gathered}$$

So, $0.967$rounded to the nearest whole number is$1$.