Question

Which of the following is a valid conversion factor?

1,000ml/1L
1hm/1,000m
1 cm^3/1 L
1,000cg/1g

Answer 1

The valid conversion factors from the options provided are 1,000ml/1L, because 1 L is equal to 1,000 mL, and 1,000cg/1g, because 1 g is equal to 1,000 cg.

Step-by-step explanation:

The question is asking which of the listed ratios is a valid conversion factor for units of measure. A conversion factor is a ratio that is used to convert from one unit to another without changing the value of the quantity. From the given options:

• 1,000ml/1L is a valid conversion factor because 1 liter (1 L) is equal to 1,000 milliliters (1,000 mL).
• 1hm/1,000m is not valid because 1 hectometer (1 hm) is equivalent to 100 meters, not 1,000 meters.
• 1 cm³/1 L is not valid because 1 liter is equal to 1,000 cubic centimeters (1,000 cm³), not 1 cm³.
• 1,000cg/1g is valid because 1 gram (1 g) is equal to 1,000 centigrams (1,000 cg).

Therefore, the valid conversion factors from the options provided are 1,000ml/1L and 1,000cg/1g.

Answer 2

The fraction which describes the relationship between two different units is said to be conversion factor. The conversion factor is always comes out to be 1.

The valid conversion factor is 1 L = 1000 mL.

Other given factors are invalid, as

1 hectometer is not equal to 1000 m as 1 hectometer is equal to 100 m.

1
`cm^(3)` is not equal to 1 L as 1
`cm^(3)` is equal to 1 mL and 1
`cm^(3)` = 0.001 L.

1000 centigram is not equal to 1 g as 1 centigram = 0.01 g.