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MTEL General Curriculum Mathematics Practice

Question 1

Use the samples of a student€™s work below to answer the question that follows:

\( \large \dfrac{2}{3}\times \dfrac{3}{4}=\dfrac{4\times 2}{3\times 3}=\dfrac{8}{9}\)

\( \large \dfrac{2}{5}\times \dfrac{7}{7}=\dfrac{7\times 2}{5\times 7}=\dfrac{2}{5}\)

\( \large \dfrac{7}{6}\times \dfrac{3}{4}=\dfrac{4\times 7}{6\times 3}=\dfrac{28}{18}=\dfrac{14}{9}\)

Which of the following best describes the mathematical validity of the algorithm the student is using?


It is not valid. It never produces the correct answer.

In the middle example,the answer is correct.

It is not valid. It produces the correct answer in a few special cases, but it‘s still not a valid algorithm.

Note that this algorithm gives a/b divided by c/d, not a/b x c/d, but some students confuse multiplication and cross-multiplication. If a=0 or if c/d =1, division and multiplication give the same answer.

It is valid if the rational numbers in the multiplication problem are in lowest terms.

Lowest terms is irrelevant.

It is valid for all rational numbers.

Can't be correct as the first and last examples have the wrong answers.
Question 1 Explanation: 
Topic: Analyze Non-Standard Computational Algorithms (Objective 0019).
There is 1 question to complete.

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