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Part II: Analysis of Exam Areas

Simplifying this problem first means changing 1 ⁄5 to .2. Next change 0.02 percent

to 0.0002 (that is . 02 # . 01 = 0.

0002).

Now that you have simplified the problem, multiply . 2 # 0.

0002 which gives

0.00004. The correct answer is E.

Simplifying can make a problem much easier to solve.

Make Comparisons

At times, questions require you to compare the sizes of several decimals, or several

fractions. If you’re comparing decimals, make sure that the numbers you compare

have the same number of digits. (Remember: You can insert or eliminate zeros to

the far right of a decimal point without changing the value of the number.)

Samples

28. Which of the following answer choices places the decimal fractions .6, .16,

.66 2 ⁄3, .58, in order from smallest to largest?

A. .6, .16, .66 2 ⁄3, .58

B. .58, .16, .6, .66 2 ⁄3

C. .16, .58, .6, .66 2 ⁄3

D. .66 2 ⁄3, .6, .58, .16

E. .58, .6, .66 2 ⁄3, .16

Rewrite .6 as .60 so that all the decimals have the same number of digits: .60, .16,

.66 2 ⁄3, .58. Treating these as though the decimal point were not there (you can do

this only when all the numbers have the same number of digits to the right of the

decimal), the order is as follows: .16, .58, .60, .66 2 ⁄3. The correct answer is C.

Remember to circle “smallest to largest” in the question.

29. Which of the following answer choices places the fractions 5 ⁄8, 3 ⁄4, 2 ⁄3, in

order from smallest to largest?

A. 2

⁄3, 3 ⁄4, 5 ⁄8

B. 2

⁄3, 5 ⁄8, 3 ⁄4

C. 5

⁄8, 2 ⁄3, 3 ⁄4

D. 3

⁄4, 5 ⁄8, 2 ⁄3

E. 3

⁄4, 2 ⁄3, 5 ⁄8

Find the common denominator: 5 ⁄8 = 15 ⁄24, 3 ⁄4 = 18 ⁄24, 2 ⁄3 = 16 ⁄24.

56

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