Based on the calculations, no, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. Using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion.
A conversion factor can be defined as a number that is typically used to convert (change) a number in one (1) set of units to another, either by dividing or multiplying.
Generally, an appropriate conversion factor to an equal value must be used when it is necessary to perform any mathematical conversion.
Conversion 1:
1 Euro = 1.35 USD.
1000 Euros = X USD
Cross-multiplying, we have:
X = 1000 × 1.35
X = 1,350 USD.
Conversion 2:
1 Euro = 1.35261 USD.
1000 Euros = X USD
Cross-multiplying, we have:
X = 1000 × 1.35261
X = 1,352.61 USD.
In conclusion, we can reasonably infer and logically deduce that, no, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. Using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion.
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Complete Question:
The Ruiz family is exchanging euros for US dollars. The exchange rate is 1 euro equals 1.35261 USD. Since the Ruiz family knows that USD are stated to the nearest hundredth of a dollar, they used the conversion ratio. Will this give the Ruiz family the correct exchange?
Sample response: no, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion. what did you include in your response? check all that apply.
The rounded conversion will not give an accurate answer based on the limitations of the problem using the more accurate conversion factor will give an answer that can then be rounded to 2 decimal places.
