Question

1. when converting from a smaller unit to a larger unit, what is true of the conversion factor?

it is 0.
it is 1.
it is less than 1.
it is more than 1.

Explanation:

To determine the conversion factor when converting from a smaller unit to a larger unit, we analyze the relationship between units. For example, converting centimeters (smaller) to meters (larger): 1 meter = 100 centimeters. The conversion factor from cm to m is \( \frac{1\ \text{m}}{100\ \text{cm}} = 0.01 \), which is less than 1. In general, when going from a smaller unit to a larger unit, the number of larger units needed to represent the same quantity is fewer, so the conversion factor (a ratio of larger unit to smaller unit) will be less than 1. Options like 0 or 1 don't make sense (0 would nullify the quantity, 1 would imply no change), and "more than 1" is for converting to a smaller unit (e.g., m to cm, factor is 100).

Answer:

It is less than 1.