Answer:
the valid conversion factors are options 1, 2, and 4.
Step-by-step explanation:
A valid conversion factor is a ratio of two equal quantities expressed in different units. Let's analyze the provided options:
"One cubic centimeter over one liter":
This is a valid conversion factor because 1 cubic centimeter (cm³) is equivalent to 1 milliliter (mL), and 1 liter (L) is equal to 1000 milliliters. Therefore, this conversion factor is correct: 1 cm³ = 1 mL, and 1 L = 1000 mL.
"One milliliter over 100 liters":
This is also a valid conversion factor because 1 milliliter (mL) is equal to 0.001 liters (L), so 1 mL = 0.001 L. Therefore, this conversion factor is correct: 1 mL = 0.001 L.
"10 meters over one decimeter":
This is not a valid conversion factor because it does not express an equivalent relationship between units. 10 meters and one decimeter are not equal; 10 meters is equivalent to 100 decimeters. Therefore, this conversion factor is incorrect: 10 m ≠ 1 dm.
"100 centimeters over 1 meter":
This is a valid conversion factor because 100 centimeters (cm) are equivalent to 1 meter (m). Therefore, this conversion factor is correct: 100 cm = 1 m.
So, the valid conversion factors are options 1, 2, and 4.