Final answer must be a whole number.

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Discussion Overview

The discussion revolves around the approach to rounding in mathematical problems, particularly in the context of word problems that specify a final answer must be a whole number. Participants explore whether to maintain decimal values throughout calculations or to round intermediate results.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant questions whether to keep decimals until the final answer or to round each intermediate result to a whole number, using a triangle problem as an example.
  • Another participant suggests completing all calculations before rounding the final result.
  • A different participant provides an example involving an isosceles triangle with a small angle, arguing that premature rounding could lead to significantly incorrect results.

Areas of Agreement / Disagreement

Participants express differing views on the timing of rounding, with some advocating for rounding only at the end and others highlighting potential issues with early rounding. No consensus is reached.

Contextual Notes

Participants discuss the implications of rounding at different stages, emphasizing the importance of maintaining accuracy in calculations. The examples provided illustrate the potential for significant errors due to premature rounding.

Tyrion101
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In the case of a word problem that asks you to round the final answer to a whole number, and most of the secondary steps involve decimals, do you keep the decimals until the end of the problem or do you round each answer to a whole number? For instance you're given two sides of a triangle which are 520, and 800. One angle is 46. When I get an answer do I say this is an arbitrary answer: 28.7563, do I keep that, until I get the final angle I'm really solving for?
 
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Do all the calculations and upon finishing them, round your result.
 
That's what I thought thanks.
 
If you had a very long isosceles triangle with angle 0.4o and were asked to find the area, if you first rounded that angle to 0, you'd get an answer of 0. Clearly this is an extreme example but accentuates how your answer could be very far from the correct answer with premature rounding.
 
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