Q:

Ms. Hamby gave a quiz. Two students’ work and the answer key are shown. Ms. Hamby accepts equivalent answers in any form.Based on Ms. Hamby’s answer key, how many questions did Student A answer correctly? Explain your response. Based on Ms. Hamby’s answer key, how many questions did Student B answer correctly? Explain your response.

Accepted Solution

A:
Answer:Student A and Student B both answered 2 questions correctly.See explanation belowStep-by-step explanation:Note: that answers in the form:[tex]\frac{a}{-b}=\frac{-a}{b}=-\frac{a}{b}[/tex]ARE ALL EQUIVALENT.First of all, 4/5 is equivalent to 0.8 if we do long division.and 19/20 is 0.95 if we do long division.Now, Student A:Both of the fractions are correct and the negative sign is equivalent and makes the answer correct, so both are correct.For Student B:Similarly, both answers are correct for this student as well, looking at the equivalence we showed first.Also, "-" (negative) in front of the parenthesis and inside parenthesis here doesn't matter.Hence,Student A and Student B both answered 2 questions correctly.