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Formatting a Solution for Model Training
You are creating a demonstration to teach a language model how to solve multi-step word problems by showing its work. Rewrite the following solution text to properly separate the narrative explanation from the detailed mathematical steps using the ≪ ... ≫ formatting convention.
Original Solution: 'To find the total cost, you first calculate the cost of the muffins, which is 4 times $3, equaling $12. Then, you calculate the cost of the cookies, which is 6 times $2, equaling $12. Finally, you add these two amounts together, $12 plus $12, to get a total of $24. The total cost is $24.'
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Ch.3 Prompting - Foundations of Large Language Models
Foundations of Large Language Models
Foundations of Large Language Models Course
Computing Sciences
Application in Bloom's Taxonomy
Cognitive Psychology
Psychology
Social Science
Empirical Science
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A user is preparing an example to show a language model how to solve multi-step word problems. The goal is to help the model learn to show its work clearly. Below are two versions of the example's solution for the problem: 'If apples cost $2 each and oranges cost $1.50 each, what is the total cost of 3 apples and 5 oranges?'
Version A: 'First, we find the total cost of the apples, which is 3 apples times $2 per apple, so that's $6. Then we find the cost of the oranges, which is 5 oranges times $1.50 per orange, which equals $7.50. Finally, we add the two costs together, $6 plus $7.50, to get the total cost of $13.50.'
Version B: 'First, we calculate the cost of the apples and oranges separately. Then, we add them to find the total cost. ≪Cost of apples = 3 * $2.00 = $6.00; Cost of oranges = 5 * $1.50 = $7.50; Total cost = $6.00 + $7.50 = $13.50≫ The total cost is $13.50.'
Analyze both versions. Which version is structured more effectively to teach the model a clear reasoning process, and why?
Formatting a Solution for Model Training
A developer is creating an example to teach a language model how to solve financial problems. The goal is to make the reasoning process explicit by enclosing the detailed mathematical steps within special markers (
≪...≫), separating them from the narrative explanation. Which of the following options best applies this formatting principle for the problem: 'Calculate the simple interest on a principal of $1000 at an annual rate of 5% for 3 years.'?