NAME DATE PERIOD Study Guide and Intervention Fractions and Decimals To write a decimal as a fraction, divide the numerator of the fraction by the denominator. Use a power of ten to change a decimal to a fraction. Write as a decimal. Method 1 Use pencil and paper. Method 2 Use a calculator. 0... 0.6.000 4 0 The remainder after You can use bar notation 0. to 4 each step is. indicate that repeats forever. 0 So, 0.. 4 Write 0.2 as a fraction in simplest form. 2 0.2 1 00 2 The 2 is in the hundredths place. Simplify. Write each fraction or mixed number as a decimal. Use bar notation if the decimal is a repeating decimal. 1. 2. 1 0. 7 11 4. 4 7. 1 6. 4 7 1 Write each decimal as a fraction in simplest form. 7. 0.14. 0.. 0.4 Glencoe/McGraw-Hill 2 Mathematics: Applications and Concepts, Course 2
NAME DATE PERIOD Study Guide and Intervention Fractions and Percents A ratio is a comparison of two numbers by division. When a ratio compares a number to 100, it can be written as a percent. To write a ratio or fraction as a percent, find an equivalent fraction with a denominator of 100. You can also use the meaning of percent to change percents to fractions. Write 1 as a percent. 20 Lesson 1 20 100 % Since 100 20, multiply the numerator and denominator by. Write 2% as a fraction in simplest form. 2 2% 1 00 Definition of percent 2 2 Simplify. Write each ratio as a percent. 14 27 1. 2.. 4. per 100 1 00 1 00 4. 1 per 100. 21:100 6. 6:100 Write each fraction as a percent. 7. 1 00. 14 100. 2 1 10. 11. 1 4 12. 2 0 2 1 0 Write each percent as a fraction in simplest form. 1. % 14. 1% 1. 7% 16. 0% 17. 16% 1. 1% Glencoe/McGraw-Hill 26 Mathematics: Applications and Concepts, Course 2
NAME DATE PERIOD Study Guide and Intervention Percents and Decimals To write a percent as a decimal, divide the percent by 100 and remove the percent symbol. To write a decimal as a percent, multiply the decimal by 100 and add the percent symbol. Write 42.% as a decimal. 42.% 4 2. 100 4 2. 10 100 10 42 1,000 0.42 Write the percent as a fraction. Multiply by 10 to remove the decimal in the numerator. Simplify. Write the fraction as a decimal. Write 0.62 as a percent. 0.62 062. Multiply by 100. 62.% Add the % symbol. Write each percent as a decimal. 1. 6% 2. 2%. 1% 4. 4%..% 6. 12.% 7. 14.2%. 11.1% Write each decimal as a percent.. 0.47 10. 0.0 11. 0.07 12. 0.14 Glencoe/McGraw-Hill 26 Mathematics: Applications and Concepts, Course 2
NAME DATE PERIOD Study Guide and Intervention Scientific Notation A number is in scientific notation when it is written as the product of a number and a power of ten. The number 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 of ten and then multiply. To write a number in scientific notation, move the decimal point to the right of the first nonzero number. Then, find the power of ten by counting the number of places moved. Write 6.1 10 in standard form. 6.1 10 6.1 1,000 10 1,000 6.100 Move the decimal point places to the right. 6,100 Write 62,00 in scientific notation. 62,00 6.20 10,000 Move the decimal point 4 places to get a number between 1 and 10. 6.2 10 4 Write each number in standard form. 1. 7.2 10 2 2. 2. 10.. 10 4..0 10 4..1 10 6 6. 6.12 10 Write each number in scientific notation. 7. 2.,210. 200 Lesson 1 10.,120 11. 61 12. 1,20 1. 21,00 14.,000 1.,0 Glencoe/McGraw-Hill 41 Mathematics: Applications and Concepts, Course 2
MATH-7 Numbers in Scientific Notation-7.1c Exam not valid for Paper Pencil Test Sessions [Exam ID:01WF1 1 Which list is in order from least to greatest? 1 2 A 0.06,, 2%, 4 2 1 B,, 2%, 0.06 4 1 2 C,, 0.06, 2% 4 2 1 D, 2%,, 0.06 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 Colter B Roy C Sean D Taylor
Sally, Sue and Joe were measured in gym class. Sally was 6 inches. Sue was 6 4 7 1 inches. Joe was 6 inches. Who was the tallest? 2 A Sally B Sue C All were the same height D Joe 4 Which number would make the statement true? A 0.0 B 0.40 C 0.04 D 0.2 1 < < 46% Directions: Click on each correct box. You must select all correct answers. Select three numbers that are greater than %. 0.0 0.0 % 2%. 10 20 6 Maria made out of baskets in the basketball game. What percent of the baskets did Maria make? A 0% B % C % D 60%
7 Which symbol makes this a true statement? 4.6 x 10 4.2 x 10 A = B < C > Which number does not have the same value? A 0.6 B 12 C 12 D 66.6% Which lists the following numbers in ascending order? A 0.12, 1.2%, 7%, B 0.12, 1.2%,, 7% C 1.2%, 0.12,, 7% D 1.2%, 0.12, 7%, 10 Arrange the following numbers in ascending order. 6.7 x 10-6.7% 6 0.67
11 Look at the table. Which list shows the numbers ordered from greatest to least? A List 2 B List 1 C List 4 D List 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. 11 6. 10-2 1.% 1.6 2. 10 1 1% 1 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. 7.2 10 0 21%. 10-1.6 2. 00%
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., %,,. 10 2.7 10-2, 0.07,, 7% 7 2.6%, 2.1 10-4 1,, 1.6 6 2. 10-2, 2.%,,.2 0.,. 10-1, %, 1 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..72 x 10 7 2.1 x 10 7 1.4 x 10 7 16 Which of the following is not true? 6000 A > 2.1 x 10 10 B 0. = 0% C 0. < % D 2% = 0.2
17 The mass of a proton is approximately 1.67 x 10-27. Select all the box(es) that represent a value less than the mass of a proton. Smallest object Mass of an electron: Mass of a human cell:.11 x 10-1 1 x 10-12 observed:.2 x 10-1 Mass of a neutron: 1.67 x 10-27 1 Directions: Click and drag each selected number to the correct box. Arrange the three numbers shown in order from least to greatest. 4.7 10.2 10. 10 1 Which list of numbers is arranged from least to greatest? A 0.2, 17%, 2 2 B 0.2,, 17% C 17%, 0.2, 2 2 D 17%,, 0.2 20 Which is a true statement? A 2 x 10-2 > 2 x 10 2 B 0.2 < 2. x 10-2 C 2. x 10-2 = 20 D.1 x 10 <.1 x 10 7
21 Directions: Type your answer in the box. Use "/" for fraction bar. Identify the number with the greatest value.. % 22 Directions: Click and drag each value to the correct box. Place the numbers in order from least to greatest. 6.7 67% 6 10-7 6.7 2 Which fraction best represents the value of A on the number line shown? A 1 4 B 1 C 2 D 2
24 A 0.6 B 10 C 60% D 6. x 10-1 2 Arrange the following rational numbers in ascending order. A B C D