Exercise 12 Page 125

Let's start by recalling that 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. part/whole=percent/100 We want to find the number that is 0.5 % of 8, which means that we want to find the part. Let x represent the part. x/8=0.5/100 Now we can solve the proportion we got for x. Let's do this by using the fact that the cross products of any proportion are equal.

x/8=0.5/100

CrossMult

Cross multiply

x* 100= 8* 0.5

Multiply

Multiply

100x=4

Finally, we will use the Division Property of Equality to get the value of x.

100x=4

DivEqn

.LHS /100.=.RHS /100.

100x/100=4/100

CancelCommonFac

Cancel out common factors

100x/100=4/100

SimpQuot

Simplify quotient

x=4/100

CalcQuot

Calculate quotient

x=0.04

We got that x= 0.04 is a solution to the proportion. This means that 0.5 % of 8 is equal to 0.04.