Question

Which conversion factors are used to multiply to 18 cm/s to get meters per minute?

Answer 1

Answer:

$\frac{60}{100}$

Step-by-step explanation:

Here, the given expression,

18 cm per sec

That is, measure in 1 sec = 18 cm

∵ 1 minute = 60 seconds,

⇒ 1 second = $\frac{1}{60}$ minutes,

Also, 1 meters ( m ) = 100 centimeters ( cm ),

⇒ 1 cm = $\frac{1}{100}$ m,

So, the measure in $\frac{1}{60}$ minutes = 18× $\frac{1}{100}$ cm,

Thus, the measure in 1 minute = $18\times \frac{60}{100}$ cm

Hence, the conversion factors are used to multiply to 18 cm/s to get meters per minute is $\frac{60}{100}$

Answer 2

18 cm/s = 18cm/s * 1m/100cm = (18/100) m/s
(notice how the units cancel out, and 1m/100cm = 1 so we're not changing anything)

(18/100) m/s = (18/100) m/s * 60s/1min (also = 1)
Therefore we get
(1080/100) m/min = 10.8 m/min
So basically 18 *60/100 m/min