Exercise 14 Page 315

We want to complete the given conversion. 2.1g&= mg Let's identify the conversion rate between milligrams (mg) and grams (g). 1000mg=1g This means that the conversion factor between milligrams and grams can be expressed by the following fraction. 1000mg/1g Now, we want to convert 2.1 grams to milligrams. Let's use dimensional analysis to do this. We will multiply the factor by 2.1g and divide out common units. Let's do this!

2.1g* 1000mg/1g

MoveLeftFacToNum

a*b/c= a* b/c

2.1g* 1000mg/1g

CrossCommonFac

Cross out common factors

2.1g* 1000mg/1g

SimpQuot

Simplify quotient

2.1* 1000mg/1

Multiply

Multiply

2100mg/1

DivByOne

a/1=a

2100mg

We found that 2.1 grams are equal to 2100 milligrams. Let's complete our conversion! 2.1g=2100mg Notice that, if we use an equivalent rate, we will end with the same solution.