Prompt 2: Is the diamond yours? A friend asks to borrow your precious diamond for a day to show to her family. You are a bit worried, so you carefully have your diamond weighed on a scale that reads 8.17 grams. The scale's accuracy is claimed to be t 0.05 gram. The next day you weigh the returned diamond again, getting 8.09 grams. Is this your diamond? Prompt 3:1 agree to hire you for 30 days. You can decide between two methods of payment: either (1) Php 1000 a day, or (2) one peso on the first day, two pesos on the second day and continue to double your daily pay each day up to day 30. Use quick estimation to make your decision and justify it. Prompt 4: What are the merits and drawbacks of using a person's foot as a standard? Consider both (a) a particular person's foot, and (b) any person's foot. Keep in mind that it is advantageous that fundamental standards be accessible, invariable, indestructible, and reproducible. Prompt 5: For an answer to be complete, the units need to be specified. Why? Prompt 6: (a) In adding scalars, is 1m + 1m necessarily equal to 2m? (b) In adding two vectors, each of magnitude of 1m, does the resultant necessarily have a magnitude of 2m? Explain your reasoning in each case.

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Prompt 2: Is the diamond yours? A friend asks to borrow your precious diamond for a day to show to her
family. You are a bit worried, so you carefully have your diamond weighed on a scale that reads 8.17 grams.
The scale's accuracy is claimed to be ± 0.05 gram. The next day you weigh the returned diamond again,
getting 8.09 grams. Is this your diamond?
Prompt 3:1 agree to hire you for 30 days. You can decide between two methods of payment: either (1) Php
1000 a day, or (2) one peso on the first day, two pesos on the second day and continue to double your daily
pay each day up to day 30. Use quick estimation to make your decision and justify it.
Prompt 4: What are the merits and drawbacks of using a person's foot as a standard? Consider both (a) a
particular person's foot, and (b) any person's foot. Keep in mind that it is advantageous that fundamental
standards be accessible, invariable, indestructible, and reproducible.
Prompt 5: For an answer to be complete, the units need to be specified. Why?
Prompt 6: (a) In adding scalars, is 1m + 1m necessarily equal to 2m? (b) In adding two vectors, each of
magnitude of 1m, does the resultant necessarily have a magnitude of 2m? Explain your reasoning in each
case.
Transcribed Image Text:Prompt 2: Is the diamond yours? A friend asks to borrow your precious diamond for a day to show to her family. You are a bit worried, so you carefully have your diamond weighed on a scale that reads 8.17 grams. The scale's accuracy is claimed to be ± 0.05 gram. The next day you weigh the returned diamond again, getting 8.09 grams. Is this your diamond? Prompt 3:1 agree to hire you for 30 days. You can decide between two methods of payment: either (1) Php 1000 a day, or (2) one peso on the first day, two pesos on the second day and continue to double your daily pay each day up to day 30. Use quick estimation to make your decision and justify it. Prompt 4: What are the merits and drawbacks of using a person's foot as a standard? Consider both (a) a particular person's foot, and (b) any person's foot. Keep in mind that it is advantageous that fundamental standards be accessible, invariable, indestructible, and reproducible. Prompt 5: For an answer to be complete, the units need to be specified. Why? Prompt 6: (a) In adding scalars, is 1m + 1m necessarily equal to 2m? (b) In adding two vectors, each of magnitude of 1m, does the resultant necessarily have a magnitude of 2m? Explain your reasoning in each case.
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