Gillian's reasoning is an illustration of approximation and estimation
Gillian's reasoning about the estimation is correct
From the complete question, the number of students in the class is 6, and they are to pick [tex]2\frac 12[/tex] quarts of raspberries each
Also from the complete question, they have [tex]19\frac 14[/tex] quarts of raspberry
When [tex]19\frac 14[/tex] is divided by [tex]2\frac 12[/tex], we have:
[tex]19\frac 14 \div 2\frac 12 = 7\frac 7{10}\\[/tex]
[tex]7\frac 7{10}[/tex] is greater than 7 as in 7 * 3 = 21
[tex]2\frac 12[/tex] is less than 3 as in 7 * 3 = 21
[tex]19\frac 14[/tex] is less than 21 as in 7 * 3 = 21
Hence, Gillian's reasoning about the estimation is correct.
This is so because the result of the actual product is less than 21 i.e. [tex]19\frac 14[/tex] is less than 21
Read more about approximation and estimation at:
https://brainly.com/question/18071342