To determine the cost of one pencil, follow these steps:
1. Identify the total number of pencils in the pack and the total cost:
- Number of pencils in the pack: 72
- Cost of the pack of pencils: [tex]$5.99
2. Calculate the price per pencil:
- Divide the total cost by the number of pencils.
- Price per pencil = \(\frac{\$[/tex]5.99}{72}\)
3. Perform the division:
- [tex]$\frac{\$[/tex]5.99}{72} \approx 0.0831944444[tex]$
Therefore, the unrounded price per pencil is approximately $[/tex]0.0831944444.
4. Round the result to the nearest cent (hundredth):
- To round to the nearest cent, look at the third decimal place. If it is 5 or greater, round the second decimal place up by one. If it is less than 5, leave the second decimal place as it is.
- In this case, the third decimal place is 3.
Therefore, rounding 0.0831944444 to the nearest cent results in [tex]$0.08$[/tex].
Conclusion:
- The price per pencil is approximately [tex]$\$[/tex]0.0831944444[tex]$ when not rounded.
- Rounded to the nearest cent, the price per pencil is $[/tex]\[tex]$0.08$[/tex].