Question

Convert 2.41 x 10^2 m to cm

answer choices
2.41cm
2.41 x 10^4cm
2.41 x 10^-2cm
2.41 x 10^-6cm

Answer 1

2.41*10² m equals 2.41*10⁴ cm

Step-by-step explanation:

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

So:
`x=(c*b)/(a)`

In this case the rule of three can be applied as follows: if 1 m equals 100 cm, 2.41*10² m equals how many cm?

`cm=(2.41*10^(2) m*100 cm)/(1 m)`

cm= 24100 = 2.41*10⁴

2.41*10² m equals 2.41*10⁴ cm