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klanderos890
05.05.2020 •
Mathematics
Both Allison and Jennifer jogged on sunday. when asked about their distances, Allison said, " i ran 2 7/8 miles this morning and 3 3/8 miles this afternoon. So, i ran a total of about 6 miles, " and Jennifer said, "i ran 3 1/10 miles this morning and 3 3/10 miles this evening. i ran a total of 6 4/10 miles."How do their answers differ? explain why they are both correct.
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Ответ:
1. Their answers differ because of approximation
2. See Explanation Below
Step-by-step explanation:
Given
Allison
Total: About 6 miles
Jennifer
Total:![6\frac{4}{10} miles](/tpl/images/0635/8617/97a7d.png)
Required
How their answers differWhy they are both correctHow their answers differ
To understand how their answers differ; first we need to calculate the actual miles they both ran.
Total = Distance covered in the morning + Distance covered in the evening
For Allison
Total Distance =![2\frac{7}{8} + 3\frac{3}{8}](/tpl/images/0635/8617/cc52a.png)
Convert mixed fractions to improper fractions
Total Distance =![\frac{23}{8} + \frac{27}{8}](/tpl/images/0635/8617/f31a5.png)
Take LCM and add
Total Distance =![\frac{23 + 27}{8}](/tpl/images/0635/8617/3bd38.png)
Total Distance =![\frac{50}{8}](/tpl/images/0635/8617/a24de.png)
Total Distance = 6.25 miles
For Jennifer
Total Distance =![3\frac{1}{10} + 3\frac{3}{10}](/tpl/images/0635/8617/cefde.png)
Convert mixed fractions to improper fractions
Total Distance =![\frac{31}{10} + \frac{33}{10}](/tpl/images/0635/8617/1630e.png)
Take LCM and add
Total Distance =![\frac{31 + 33}{10}](/tpl/images/0635/8617/2e02f.png)
Total Distance =![\frac{64}{10}](/tpl/images/0635/8617/c88e8.png)
Convert to improper fraction
Total Distance =![6\frac{4}{10} miles](/tpl/images/0635/8617/97a7d.png)
From the calculation above, the total distance ran by Allison is 6.25 miles and she said she ran about 6 miles; This means that she approximated the total distance she covered.
Also from the calculation above, the total distance ran by Jennifer is
and she said she ran
; This means that she gave the actual distance she ran.
Hence, their answers differ because of approximation
Why they are both correct?
As mentioned above, the difference in their answer is approximation.
Approximation is rightly allowed in measurements as long as one is giving the right approximated value.
For Allison; the approximation of 6.25 miles is 6 miles;
For Jennifer; she gave the actual distance she ran (
)
Base on this, we can conclude that both are correct
Ответ:
Here is my answer. Good luck.