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問題

解法ステップ

1. Understand the question
   1. convert 10 m to mm, using one of the conversion factors from question 4 above. show all your work. (4 points)use the following equalities to derive conversion factors for the next two problems2.54 cm = 1 inch10 mm = 1 cm100 cm = 1 m1000 m = 1 km8. how many mm are in 5 km? hint: use must use three of the equalities to make conversion factors to solve this problem. (5 points) show all your work! if conversion factors are not used, the correct answer is only worth 2 points.9. larry needs to make as many 12 inch strips as possible from a 125 m roll of wire. how many can he make? hint: start with what you know...do you know how many strips, or how much wire you have? second: use dimensional analysis and conversion factors to arrive at your answer. (7 points) you must show all your work to receive full credit.exam has 30 points possible: 7 = 1 15 = 2 20 = 3 25 = 3.7 >25 = 4your score____
2. Response

   Question 7

3. Explanation

   Step1: Identify conversion factor

   We use $1\ \text{m} = 1000\ \text{mm}$

   Step2: Set up unit conversion

   $10\ \text{m} \times \frac{1000\ \text{mm}}{1\ \text{m}}$

   Step3: Calculate the result

   $10 \times 1000\ \text{mm} = 10000\ \text{mm}$

4. Explanation

   Step1: List required conversion factors

   Use $1\ \text{km}=1000\ \text{m}$, $1\ \text{m}=100\ \text{cm}$, $1\ \text{cm}=10\ \text{mm}$

   Step2: Set up unit conversion chain

   $5\ \text{km} \times \frac{1000\ \text{m}}{1\ \text{km}} \times \frac{100\ \text{cm}}{1\ \text{m}} \times \frac{10\ \text{mm}}{1\ \text{cm}}$

   Step3: Simplify and compute

   $5 \times 1000 \times 100 \times 10\ \text{mm} = 5000000\ \text{mm}$

5. Explanation

   Step1: List conversion factors

   Use $1\ \text{m}=100\ \text{cm}$, $2.54\ \text{cm}=1\ \text{inch}$

   Step2: Convert wire length to inches

   $125\ \text{m} \times \frac{100\ \text{cm}}{1\ \text{m}} \times \frac{1\ \text{inch}}{2.54\ \text{cm}} \approx 4921.26\ \text{inches}$

   Step3: Calculate number of strips

   $\frac{4921.26\ \text{inches}}{12\ \text{inches per strip}} \approx 410$ (round down to whole strips)

6. Final answer

   $10000\ \text{mm}$

   ---

   Question 8

答え

Question Analysis

OCR Text

7. convert 10 m to mm, using one of the conversion factors from question 4 above. show all your work. (4 points)use the following equalities to derive conversion factors for the next two problems2.54 cm = 1 inch10 mm = 1 cm100 cm = 1 m1000 m = 1 km8. how many mm are in 5 km? hint: use must use three of the equalities to make conversion factors to solve this problem. (5 points) show all your work! if conversion factors are not used, the correct answer is only worth 2 points.9. larry needs to make as many 12 inch strips as possible from a 125 m roll of wire. how many can he make? hint: start with what you know...do you know how many strips, or how much wire you have? second: use dimensional analysis and conversion factors to arrive at your answer. (7 points) you must show all your work to receive full credit.exam has 30 points possible: 7 = 1  15 = 2  20 = 3  25 = 3.7  >25 = 4your score____

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