Exercise 8 Page 314

Let's identify the conversion rate between centigrams (cg) and grams (g). 100cg=1gThis means that the conversion factor between centigrams and grams can be expressed by the following fraction. 100cg/1g Now, we want to convert 0.75 grams to centigrams using dimensional analysis. To do this, we can multiply the factor by 0.75grams and divide out common units. Let's do this!

0.75g* 100cg/1g

MoveLeftFacToNum

a*b/c= a* b/c

0.75g* 100cg/1g

CrossCommonFac

Cross out common factors

0.75g* 100cg/1g

SimpQuot

Simplify quotient

0.75* 100cg/1

Multiply

Multiply

75cg/1

DivByOne

a/1=a

75cg

We found that 0.75 grams are equal to 75 centigrams using dimensional analysis.