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2 votes
Aman and Jennifer both evaluated the same

numerical expression. They got different answers. Who simplified the
expression correctly? Explain.

Aman
1+ 4.3²
5.32
15²
225

Jennifer
1+ 4.3²
1+ 4.9
1 + 36
37

User Asafrob
by
7.7k points

1 Answer

6 votes

Aman correctly simplified
\(1 + 4.3^2\) as 19.49, demonstrating a precise understanding of mathematical operations. Jennifer's error in adding 4.3² and 1 led to an incorrect result of 37.

Aman and Jennifer tackled the same numerical expression but arrived at different answers, prompting an examination of their simplification methods.

Aman followed a systematic approach, first squaring 4.3, yielding 18.49. He then added 1 to the squared result, arriving at a final answer of 19.49. Aman's sequence of operations aligns with the correct rules of arithmetic, demonstrating a clear understanding of mathematical procedures.

On the other hand, Jennifer's evaluation involved adding 4.3² and 1, leading to a miscalculated sum of 37. Her error arises from an inaccurate combination of terms in the intermediate steps. The correct process involves squaring 4.3 and then adding 1 to the result, a step Jennifer overlooked.

In conclusion, Aman's simplification is accurate, displaying a sound grasp of mathematical operations. Jennifer's error, rooted in the misapplication of addition in the intermediate steps, highlights the importance of precision in mathematical reasoning. Aman's approach stands as the correct interpretation of the given expression, showcasing a reliable understanding of mathematical principles.

User TheSealion
by
8.4k points