Understanding Percents LESSON 6 1 Course 2 Please

Understanding Percents LESSON 6 -1 Course 2 Please take your homework notebooks from the ledge. I still need to check Activity 5 -5 a for: Jason Lee Sungho Addison Hanson Natalie Kelly Bryan Problem of the Day: Find equivalent ratios for the following 1) 2 2) 13 50 5 Lesson Main Lesson 6 -1 Feature

Understanding Percents LESSON 6 -1 Course 2 Problem of the Day: Find equivalent ratios for the following 1) 2 2) 13 50 5 Possible Answers: 2 4 6 = = 5 10 15 Lesson Main 13 26 39 = = 50 100 150 Lesson 6 -1 Feature

Understanding Percents LESSON 6 -1 Course 2 Additional Examples In a floor plan of a 10 room, a chair takes up 4 spaces. Write the ratio and percent of the chair space to the total floor space. There are 4 grid spaces for the chair. Write as a ratio to the total number of grid spaces, 100. Then write as a percent. chair 4 = 4% 100 Quick Check Lesson Main Lesson 6 -1 Feature

Understanding Percents LESSON 6 -1 Course 2 Additional Examples Model 82% in a 10 grid. Shade 82 of the 100 grid spaces. Quick Check Lesson Main Lesson 6 -1 Feature

Understanding Percents LESSON 6 -1 Course 2 Additional Examples What percent does the shaded area represent? 3 60 = 5 100 = 60% Quick Check Lesson Main Lesson 6 -1 Feature

Understanding Percents LESSON 6 -1 Course 2 Additional Examples Write each ratio as a percent. a. 3 10 3 3 • 10 = 10 10 • 10 Since 10 • 10 is 100, multiply numerator and denominator by 10. 30 100 Simplify. 30% Write as a percent. b. 4 5 4 4 • 20 = 5 5 • 20 80 100 80% Lesson Main Since 5 • 20 is 100, multiply numerator and denominator by 20. Simplify. Write as a percent. Lesson 6 -1 Quick Check Feature

Understanding Percents LESSON 6 -1 Course 2 Lesson Quiz 1. Write a ratio and a percent for the shaded figure. 30 ; 30% 100 Write each ratio as a percent. 2. 1 10 3. 11 50 10% Lesson Main 22% Lesson 6 -1 Feature

Understanding Percents LESSON 6 -1 Course 2 Homework 1. Write a ratio and a percent for the shaded figure. 30 ; 30% 100 Write each ratio as a percent. 2. 1 10 3. 11 50 10% Lesson Main 22% Lesson 6 -1 Feature

Percents, Fractions, and Decimals LESSON 6 -2 Course 2 Check Skills You’ll Need (For help, go to Lesson 2 -6. ) 1. Vocabulary Review What is a repeating decimal? Write each fraction as a decimal. 2. 5 = 5 ÷ 16 = 0. 3125 16 3. 11 = 11 ÷ 40 = 0. 275 40 4. 4 = 4 ÷ 9 = 0. 44…= 0. 4 5. 2 = 2 ÷ 15 = 0. 133…= 0. 13 9 15 Check Skills You’ll Need Lesson Main Lesson 6 -2 Feature

Percents, Fractions, and Decimals LESSON 6 -2 Course 2 Additional Examples Write each percent as a decimal. a. 4% 0. 04 b. 34. 3% 0. 34. 3 0. 343 c. 16% 0. 16 d. 6. 4% 0. 06. 4 0. 064 Move the decimal point two places to the left. Why can you do this shortcut? Because “percent” means “for every 100” or “divided by 100” so 4% = 4 divided by 100 Quick Check 4/100 = 0. 04 Lesson Main Lesson 6 -2 Feature

Percents, Fractions, and Decimals LESSON 6 -2 Course 2 Additional Examples Write each decimal as a percent. a. 0. 06. b. 0. 523 0. 52. 3 = 52. 3% c. 0. 50. = 50% d. 0. 95. = 95% = 6% Move the decimal point two places to the right Notice that this is just the opposite shortcut. Quick Check Lesson Main Lesson 6 -2 Feature

Percents, Fractions, and Decimals LESSON 6 -2 Course 2 Additional Examples Write each fraction as a percent. When necessary, round to the nearest tenth of a percent. a. 3 10 3 = 0. 3 10 Divide the numerator by the denominator. Write as a percent. = 30% b. 37 49 Use a calculator. 0. 7551020408 Write as a percent. = 75. 5102041% Round to the nearest tenth of a percent. 75. 5% Lesson Main Lesson 6 -2 Feature

Percents, Fractions, and Decimals LESSON 6 -2 Course 2 Additional Examples (continued) c. 6 30 Use a calculator. 0. 2 Write as a percent. 20% d. 14 65 Use a calculator. 0. 2153846154 Write as a percent. = 21. 5384615% Round to the nearest tenth of a percent. 21. 5% Quick Check Lesson Main Lesson 6 -2 Feature

Percents, Fractions, and Decimals LESSON 6 -2 Course 2 Additional Examples Write each percent as a fraction in simplest form. a. 18% 18 Write 18% as a fraction with a denominator of 100. 18 ÷ 2 Divide the numerator and the denominator by the GCF, 2. 18% = 100 ÷ 2 9 = 50 b. 12% Simplify the fraction. 12 Write 12% as a fraction with a denominator of 100. 12 ÷ 4 Divide the numerator and the denominator by the GCF, 4. 12% = 100 ÷ 4 3 = 25 Lesson Main Simplify the fraction. Lesson 6 -2 Feature

Percents, Fractions, and Decimals LESSON 6 -2 Course 2 Additional Examples (continued) c. 45% 45 Write 45% as a fraction with a denominator of 100. 45 ÷ 5 Divide the numerator and the denominator by the GCF, 5. 45% = 100 ÷ 5 9 = 20 Simplify the fraction. Quick Check Lesson Main Lesson 6 -2 Feature

Percents, Fractions, and Decimals LESSON 6 -2 Course 2 Additional Examples Order from least to greatest. a. 3 2 , , 0. 645, 13% 5 10 Write all numbers as decimals. Then locate each on a number line. 3 = 0. 6 5 Divide the numerator by the denominator. 2 = 0. 2 10 Divide the numerator by the denominator. 0. 645 This number is already in decimal form. 13% = 0. 13 Move the decimal point two places to the left. Lesson Main Lesson 6 -2 Feature

Percents, Fractions, and Decimals LESSON 6 -2 Course 2 Additional Examples (continued) b. 40%, 10 , 18%, 0. 082 20 Write all numbers as decimals. Then locate each on a number line. 40% = 0. 4 Move the decimal point two places to the left. 10 = 0. 5 20 Divide the numerator by the denominator. 18% = 0. 18 Move the decimal point two places to the left. 0. 082 This number is already in decimal form. Quick Check Lesson Main Lesson 6 -2 Feature

Percents, Fractions, and Decimals LESSON 6 -2 Course 2 Lesson Quiz Write in order from least to greatest. 1. 30%, 0. 24, 2 5 2. 0. 9, 7 , 9% 8 2 9%, 0. 24, 30%, 5 3. 1 , 40%, 0. 35 4 4. 1 , 0. 35, 40% 4 Lesson Main 7 , 0. 9 8 7 , 0. 77, 7% 10 7%, 7 , 0. 77 10 Lesson 6 -2 Feature

Percents, Fractions, and Decimals LESSON 6 -2 Course 2 Homework: Lesson 6 -1, pp. 276 -277, #s 4, 8, 16, 18 -20, 24, 25, 29, 34 Lesson 6 -2, pp. 282 -283, #s 4 -28 (multiples of 4), 36 Scale Model Project due Friday: Chapter 5 test (bring a metric ruler) Lesson Main Lesson 6 -2 Feature