Question

26. Keenan found the mass of a book to be 4.56*10^ -2 kg . What is the mass of the book in milligrams?​

Answer 1

Taking into account the rule of three for the change of units, the mass of the book is 45600 miligrams.

First of all, the rule of three is a mathematical tool that helps you quickly solve proportionality problems.

Having three known values ​​and one unknown, a proportional relationship is established between all of them in order to find the fourth term of the proportion.

If the relationship between the magnitudes is direct (when one magnitude increases, so does the other; or when one magnitude decreases, so does the other), the rule of three is applied as follows, where a, b and c are known values ​​and x is the unknown to calculate:

a → b

c → x

So: $x=\frac{cxb}{a}$

Being 1 kg equivalent to 1000000 milligrams, In this case the rule of three is applied as follows: if 1 kg equals 1000000 milligrams, 4.56×10⁻² kg equals how many milligrams?

1 kg → 1000000 milligrams

4.56×10⁻² kg  → x

So:

$x=\frac{4.56x10^{-2} kg x1000000 miligrams }{1 kg}$

x=45600 miligrams

In summary, the mass of the book is 45600 miligrams.

Learn more:

• brainly.com/question/4805238?referrer=searchResults
• brainly.com/question/5025657?referrer=searchResults