Exercise 5 Page 243

The percent proportion is a proportion that sets the ratio of a part of a whole equal to the ratio of a percent out of 100. We can represent a is p percent of wwith the given proportion. part/whole=percent/100 ⇔ a/w=p/100We can find what number's 0.1% is 4 by thinking about 0.1 as the percent and 4 as a part of the whole. Let's substitute a= 4 and p= 0.1 into the formula and solve for w using the Properties of Equality.

a/w=p/100

SubstituteII

a= 4, p= 0.1

4/w=0.1/100

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Solve for p

MultEqn

LHS * w=RHS* w

4/w* w=0.1/100 * w

FracMultDenomToNumber

a/w* w = a

4=0.1/100 * w

MoveRightFacToNum

a/c* b = a* b/c

4=0.1w/100

MultEqn

LHS * 100=RHS* 100

4* 100=0.1w/100* 100

FracMultDenomToNumber

a/100* 100 = a

4* 100=0.1w

Multiply

Multiply

400=0.1w

DivEqn

.LHS /0.1.=.RHS /0.1.

400/0.1=w

CalcQuot

Calculate quotient

4000=w

RearrangeEqn

Rearrange equation

w= 4000

Knowing the value of w, let's look at the completed percent proportion. 4/4000=0.1/100 We found that 4 is 0.1 % of 4000.