Explanation: First, we have to apply the conversion factor method. You have most likely learned it during high school. If not, follow closely the guide to solve such problems. We first write down our number of interests(what the question is asking for, which is 5 meters in this case). Then, we have to multiply it by the conversion factor 100cm/1m. Students always get confused when to multiply it by 100cm/1m versus 1m/100cm. The trick is to remember that our end unit must be in cm(the question explicitly mentioned how many “cm” are in…). In order to have the end unit as cm, it must be in the numerator. Here we go, 5m x 100cm/1m indicates that the meter units will be crossed out and cm will remain in the top(end result)

Explanation: Similar to question 1, we have to write down our number of interest(3.2m). Then, we have to multiply it by the conversion factor 1m/1000mm or 1000mm/1m. How do you know which one? There are 2 ways to confirm. First, choose the one where mm is in the numerator since our end goal is to find “how many mm”. 1000mm/1m seems right. Second, in order to confirm, since 3.2 m is in the top of the equation, we have to choose a conversion factor that has m in the denominator so they can be eliminated ( we have to eliminate the m unit and the only way is to have m in both the numerator and denominator to cancel each other out). Thus, we multiply 3.2 x 1000mm/1m to get 3200mm.

Explanation: Again, we have to start with 2.4 cm(number of interest). Then, multiply it by 1m/100cm to ensure that m unit is on the top and cm unit is on the bottom to cancel out the cm unit with 2.4 cm.