Which of the following is a valid conversion factor?

one cubic centimeter over one liter

one milliliter over 100 liters

10 meters over one decimeter

100 centigrams over one gram

100 cg/1g

Step-by-step explanation:

1 cg = 0.01 g Multiply by 100

100 cg = 1 g

(a) is wrong. The correct conversion factor is 1000 cm³/1 L.

(b) is wrong. The correct conversion factor is 1000 mL/1 L.

(c) is wrong. The correct conversion factor is 1 m/10 dm.

100 centigrams over one gram

Explanation:

Which of the following is a valid conversion factor?

one cubic centimeter over one liter FALSE

According to the International System of Units, 1 cm³ = 1mL.

one milliliter over 100 liters FALSE

The prefix mili - corresponds to 10⁻³.

Thus, 1 mL = 10⁻³ L = 0.001 L

10 meters over one decimeter FALSE

The prefix deci - corresponds to 10⁻¹.

Thus, 1 dm = 10⁻¹ m = 0.1 m

100 centigrams over one gram TRUE

The prefix centi - corresponds to 10⁻².

Thus,

1 cg = 10⁻² g = 0.01 g

100 cg = 1 g