© Glencoe/McGraw-Hill 258 Mathematics: Applications and Concepts, Course 2

Write �59� as a decimal.

Method 1 Use pencil and paper. Method 2 Use a calculator.

0.555... 5 9 0.555555569�5�.0�0�0�

4 550 The remainder after You can use bar notation 0.5� to45 each step is 5. indicate that 5 repeats forever.50 So, �

59� � 0.5�.

455

Write 0.32 as a fraction in simplest form.

0.32 � �13020�

The 2 is in the hundredths place.

� �285�

Simplify.

Write each fraction or mixed number as a decimal. Use bar notationif the decimal is a repeating decimal.

1. �180�

2. �35� 3. �1

71�

4. 4�78� 5. �

1135�

6. 3�4979�

Write each decimal as a fraction in simplest form.

7. 0.14 8. 0.3 9. 0.94

�

NAME ________________________________________ DATE ______________ PERIOD _____

Study Guide and InterventionFractions and Decimals

To write a decimal as a fraction, divide the numerator of the fraction by the denominator. Use a power often to change a decimal to a fraction.

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on

5–5

© Glencoe/McGraw-Hill 263 Mathematics: Applications and Concepts, Course 2

Write �1290� as a percent.

Since 100 � 20 � 5, multiply the numerator and denominator by 5.

Write 92% as a fraction in simplest form.

92% � �19020�

Definition of percent

� �2235�

Simplify.

Write each ratio as a percent.

1. �11040�

2. �12070�

3. 34.5 per 100

4. 18 per 100 5. 21:100 6. 96:100

Write each fraction as a percent.

7. �1300�

8. �11040�

9. �25�

10. �210�

11. �1235�

12. �140�

Write each percent as a fraction in simplest form.

13. 35% 14. 18% 15. 75%

16. 80% 17. 16% 18. 15%

NAME ________________________________________ DATE ______________ PERIOD _____

Study Guide and InterventionFractions and Percents

A ratio is a comparison of two numbers by division. When a ratio compares a number to 100, itcan be written as a percent. To write a ratio or fraction as a percent, find an equivalent fraction witha denominator of 100.You can also use the meaning of percent to change percents to fractions.

� 5

� 95%

� 5

1920

95100

© Glencoe/McGraw-Hill 268 Mathematics: Applications and Concepts, Course 2

Write 42.5% as a decimal.

42.5% � �4120.05

� Write the percent as a fraction.

� �4120.05

��

1100

� Multiply by 10 to remove the decimal in the numerator.

� �14,02050� Simplify.

� 0.425 Write the fraction as a decimal.

Write 0.625 as a percent.

0.625 � 062.5 Multiply by 100.

� 62.5% Add the % symbol.

Write each percent as a decimal.

1. 6% 2. 28%

3. 81% 4. 84%

5. 35.5% 6. 12.5%

7. 14.2% 8. 11.1%

Write each decimal as a percent.

9. 0.47 10. 0.03

11. 0.075 12. 0.914

NAME ________________________________________ DATE ______________ PERIOD _____

Study Guide and InterventionPercents and Decimals

To write a percent as a decimal, divide the percent by 100 and remove the percent symbol. To write adecimal as a percent, multiply the decimal by 100 and add the percent symbol.

�

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on

1–9

© Glencoe/McGraw-Hill 41 Mathematics: Applications and Concepts, Course 2

NAME ________________________________________ DATE ______________ PERIOD _____

Study Guide and InterventionScientific Notation

Write 6.1 � 103 in standard form.

6.1 � 103 � 6.1 � 1,000 103 � 1,000

� 6 . 1 0 0 Move the decimal point 3 places to the right.� ��

� 6,100

Write 62,500 in scientific notation.

62,500 � 6.250 � 10,000 Move the decimal point 4 places to get a number between 1 and 10.� 6.25 � 104

Write each number in standard form.

1. 7.25 � 102 2. 2.5 � 103 3. 9.95 � 105

4. 8.80 � 104 5. 3.18 � 106 6. 6.12 � 103

Write each number in scientific notation.

7. 325 8. 9,210 9. 200

10. 5,120 11. 561 12. 1,230

13. 21,300 14. 53,000 15. 8,930

A number is in scientific notation when it is written as the product of a number and a power of ten. Thenumber must be greater than or equal to 1 and less than 10.

• To write a number in standard form, you apply the order of operations. First evaluate the power often and then multiply.

• To write a number in scientific notation, move the decimal point to the right of the first nonzeronumber. Then, find the power of ten by counting the number of places moved.

MATH-7

Numbers in Scientific Notation-7.1c

Exam not valid for Paper Pencil Test Sessions

[Exam ID:01W9F1

1 Which list is in order from least to greatest?

A 0.06,   , 29%, 1 4 

2 3 

B  ,   , 29%, 0.062 3 

1 4 

C  ,   , 0.06, 29%1 4 

2 3 

D  , 29%,   , 0.062 3 

1 4 

2 The boy's middle school basketball team held a foul shot competition. Four of the 

players recorded their results differently in the table.  

  Which player had the highest percentage of foul shots made?A ColterB RoyC SeanD Taylor

3

Sally, Sue and Joe were measured in gym class. Sally was 65   inches. Sue was 65 

 inches. Joe was 65   inches. Who was the tallest?

3 4 

7 8 

1 2 

A SallyB SueC All were the same heightD Joe

4 Which number would make the statement true? 

 

< _____ < 46%1 3 

A 0.03B 0.40C 0.04D 0.25

5 Directions: Click on each correct box. You must select all correct answers.

Select three numbers that are greater than 35%.

0.305 0.0588% 25%

3.5 3 5 

3 10 

5 20 

6 Maria made 3 out of 5 baskets in the basketball game. What percent of the baskets 

did Maria make?A 80%B 8%C 35%D 60%

7 Which symbol makes this a true statement? 

 

4.68 x 104  3.82 x 105A =B <C >

8 Which number does not have the same value?

A 0.6

B 8 12 

C 9 12 

D 66.6%

9 Which lists the following numbers in ascending order?

A 0.125, 1.2%, 37%,  3 8 

B 0.125, 1.2%,  , 37%3 8 

C 1.2%, 0.125, , 37%3 8 

D 1.2%, 0.125, 37%,  3 8 

10 Arrange the following numbers in ascending order.

6.7%

0.67

6 9 

6.7 x 10-3

11 Look at the table. 

 

  Which list shows the numbers ordered from greatest to least?A List 2B List 1C List 4D List 3

12 Directions: Click on a box to select each answer you want to select. You must select all correct answers.

Identify each number that is less than  .8 11 

6.8 × 10-29 13  93.9%

1.6 2.5 × 101 51%

13 Directions: Click on a box to select each answer you want to select. You must select all correct answers.

Identify each number that is greater than 2 .5 7 

3.2 × 100 215%

3.9 × 10-1 5.6

2.58 300%

14 Directions: Click on a box to select each answer you want to select. You must select all correct answers.

Identify each group of numbers that are ordered from least to greatest.

0.35, 53%, , 3.5 × 1023 5 

3.7 × 10-2, 0.073, , 73%3 7 

2.6%, 2.1 × 10-4, , 1.61 6 

2.9 × 10-3, 2.9%, , 9.22 9 

0.8, 5.8 × 10-1, 85%, 5 9 

15 Directions: Click and drag each selected number to the correct box.

According to the 2010 US Census, California had the highest population, followed by Texas, and New York. Match each state with its population.

16 Which of the following is not true?

A  > 2.1 x 1036000 10 

B 0.9 = 90%C 0.3 < 5%D 2% = 0.2

2.51 x 107

1.94 x 107 

3.72 x 107

17 The mass of a proton is approximately 1.673 x 10 -27. Select all the box(es) that 

represent a value less than the mass of a proton.

Mass of an electron: 9.11 x 10 -31

Mass of a human cell: 1 x 10 -12

Smallest object observed: 5.2 x 10 -18

Mass of a neutron: 1.67 x 10 -27

18 Directions: Click and drag each selected number to the correct box.

Arrange the three numbers shown in order from least to greatest.

19 Which list of numbers is arranged from least to greatest?

A 0.25, 17%,  2 9 

B 0.25,  , 17%2 9 

C 17%, 0.25,  2 9 

D 17%,  , 0.252 9 

20 Which is a true statement?

A 2 x 10-2 > 2 x 102B 0.235 < 2.35 x 10-2C 2.5 x 10-2 = 250D 3.1 x 105 < 3.1 x 107

4.7 × 105

3.9 × 108

5.2 × 105

21 Directions: Type your answer in the box. Use "/" for fraction bar.

Identify the number with the greatest value.  

5.8 58%5 8 

22 Directions: Click and drag each value to the correct box.

Place the numbers in order from least to greatest.

23 Which fraction best represents the value of A on the number line shown? 

A 1 4 

B 1 5 

C 2 3 

D 2 9 

6.767%6.7 × 10-3

6 7 

24

A 0.65

B 3 10 

C 60%D 6.9 x 10 -1

25 Arrange the following rational numbers in ascending order. 

A

B

C

D