Question

You have a 0.05 kg object. what is it's mass in milligrams? i know that 0.05 kg is 50,000 mg, but i don't know how to convert it to this form.
a. 5 x 10^4 mg
b. 5 x 10^5 mg
c. 5 x 10^3 mg
d. 5 x 10^2 mg

Answer 1

1 kg --------------- 1000000 mg
0.05 kg ----------- ??

0.05 x 1000000 / 1 = 50,000 mg or 5 x 10⁴ mg

Answer A

hope this helps!

Answer 2

Answer:

0.05 kg=5*10⁴ mg (option a)

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:

$x=\frac{c*b}{a}$

In this case the rule of three applies as follows: if 1 kg equals 1,000,000 mg, 0.05 kg how many mg equals?

$mg=\frac{0.05 kg*1,000,000 mg}{1 kg}$

mg=50,000 =5*10⁴

So 0.05 kg=5*10⁴ mg (option a)