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Gillian said that if all the students and mr. Romano had each picked just 2 1/2 quarts of raspberries, they would have had enough. She estimated 7x3=21. Tell how you can critique gillians reasoning.

Sagot :

Gillian's reasoning is an illustration of approximation and estimation

Gillian's reasoning about the estimation is correct

How to critique Gillian's reasoning

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

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