Mathematics

Mathematics

Problem

A student tries to solve the equation 0.3p−1.2=0.60.3p-1.2=0.6 as follows: 0.3p−1.2=0.6⇒0.3p=1.8⇒p=60.3p-1.2=0.6\Rightarrow0.3p=1.8\Rightarrow p=6 Check carried out by the student: 0.3(6)−1.2=0.3⇒1.8−1.2=0.3⇒0.6=0.3  (Hence p=6 is correct)0.3(6)-1.2=0.3\Rightarrow1.8-1.2=0.3\Rightarrow0.6=0.3\;(\text{Hence }p=6\text{ is correct}) Answer the following: (i) Locate and explain the error made in the checking process. (ii) Perform a correct check for p=6p=6. (iii) Solve the equation once again to confirm the correct solution. a. (i) … b. (ii) … c. (iii) …

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