Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

Write each fraction in the simplest form. Warm Up Write each fraction in the simplest form. 4 10 25 8 50 4 25 1. 2. 75 100 34 12 36 13 3. 4. 9 15 35 18 48 38 5. 6.

Use the clues to find the mystery percent. Problem of the Day Use the clues to find the mystery percent. 1. The product of its digits is 24. 1 2 2. It is greater than . 3. The sum of its digits is a prime number. 83%

Sunshine State Standards Prep for MA.7.A.1.2 Solve percent problems, including problems involving discounts, simple interest, taxes, tips, and percents of increase or decrease. Rev. MA.6.A.5.1 Rev. MA.6.A.5.2

The students at Westview Middle School are collecting cans of food for the local food bank. Their goal is to collect 2,000 cans in one month. After 10 days, they have 800 cans of food. What percent of their goal have they reached?

The model shows that 800 out of 2,000 can be written as , , 200 400 600 800 1,000 1,200 1,400 1,600 1,800 2,000 2 5 3 5 4 5 1 5 5 0.2 0.4 0.6 0.8 1.0 20% 60% 80% 40% 100% 800 2000 2 5 The model shows that 800 out of 2,000 can be written as , , 0.4, or 40%. The students have reached 40% of their goal.

Additional Example 1: Writing Decimals as Percents Write 0.7 as a percent. Method 1: Use pencil and paper. 7 10 70 100 Write the decimal as a fraction with a denominator of 100. 0.7 = = Write the numerator with a percent sign. = 70%

Additional Example 1 Continued Write 0.7 as a percent. Method 2: Use mental math. Move the decimal point two places to the right and add a percent sign. 0.70 = 70% = 70%

Check It Out: Example 1 Write 0.3 as a percent. Method 1: Use pencil and paper. 3 10 30 100 Write the decimal as a fraction with a denominator of 100. 0.3 = = Write the numerator with a percent sign. = 30%

Check It Out: Example 1 Continued Write 0.3 as a percent. Method 2: Use mental math. Move the decimal point two places to the right and add a percent sign. 0.30 = 30% = 30%

Additional Example 2: Writing Fractions as Decimals 5 8 Write as a percent. Method 1: Use pencil and paper. 5 8 = 5 ÷ 8 Use division to write the fraction as a decimal. = 0.625 = 62.5% Write the decimal as a percent. To divide 5 by 8, use long division and place a decimal point followed by a zero after the 5. 8 5.00 Remember! .625

Additional Example 2 Continued 5 8 Write as a percent. Method 2: Use mental math. 5 ● 12.5 8 ● 12.5 62.5 100 Write an equivalent fraction with a denominator of 100. = Write the numerator with a percent sign. = 62.5%

Check It Out: Example 2 3 5 Write as a percent. Method 1: Use pencil and paper. 3 5 = 3 ÷ 5 Use division to write the fraction as a decimal. = 0.60 = 60% Write the decimal as a percent.

Check It Out: Example 2 Continued 3 5 Write as a percent. Method 2: Use mental math. 3 • 20 5 • 20 60 100 Write an equivalent fraction with a denominator of 100. = Write the numerator with a percent sign. = 60%

Additional Example 3: Ordering Rational Numbers 4 4 5 Order 17%, 0.25, , 0.1, , and 20% from least to greatest. Step 1: Write the numbers as decimals with the same number of decimal places. 3 4 = 0.75 17% = 0.17 0.25 = 0.25 4 5 = 0.80 0.1 = 0.10 20% = 0.20

Additional Example 3 Continued 4 4 5 Order 17%, 0.25, , 0.1, , and 20% from least to greatest. Step 2: Graph the numbers on the number line. 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 1.10 1.20 Step 3: Compare the decimals. 0.10 < 0.17 < 0.20 < 0.25 < 0.75 < 0.80 From least to greatest, the numbers are: 0.1, 17%, 20%, 0.25, , . 3 4 5

Check It Out: Example 3 1 2 3 4 Order 12%, 0.20, , 0.8, , and 40% from least to greatest. Step 1: Write the numbers as decimals with the same number of decimal places. 1 2 = 0.50 12% = 0.20 0.20 = 0.20 3 4 = 0.75 0.8 = 0.80 40% = 0.40

Check It Out: Example 3 Continued 1 2 3 4 Order 12%, 0.20, , 0.8, , and 40% from least to greatest. Step 2: Graph the numbers on the number line. 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 1.10 1.20 Step 3: Compare the decimals. 0.12 < 0.20 < 0.40 < 0.50 < 0.75 < 0.80 From least to greatest, the numbers are: 12%, 0.20, 40%, , , 0.8. 1 2 3 4

Additional Example 4: Choosing a Method of Computation Decide whether using pencil and paper, mental math, or a calculator is most useful when solving the following problem. Then solve. If 27 out of 50 people have the newspaper delivered to their home, what percent of these people have the newspaper delivered to their home? 27 50 27 out of 50 = Think: 27 ÷ 50 divides evenly. Using pencil and paper is the best method. = 0.54 = 54% Write the decimal as a percent. 54% of the people have the newspaper delivered to their home.

Check It Out: Example 4 Decide whether using pencil and paper, mental math, or a calculator is most useful when solving the following problem. Then solve. If 10 out of 50 students have blue backpacks, what percent of the students have blue backpacks? 10 50 20 100 = Think: The denominator is a multiple of 100. 10 out of 50 = Mental math or pencil and paper is the best method. = 0.20 = 20% Write the decimal as a percent. 20% of the students have blue backpacks.

Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

Lesson Quiz: Part I 1. Write 0.65 as a percent. 65% 6 10 2. Write as a percent. 60% 3. Order , 0.8, 73%, and 0.57 from least to greatest.

Lesson Quiz: Part II Decide whether using pencil and paper, mental math, or a calculator is most useful when solving the following problem. Then solve. 4. If 36 out of 80 people surveyed have been on a boat, what percent of these people have been on a boat? Calculator; 45%

Lesson Quiz for Student Response Systems 1. Which of the following represents 0.52 as a percent? A. 52% B. 26% C. 13% D. 4%

Lesson Quiz for Student Response Systems 2. Which of the following represents 0.08 as a percent? A. 80% B. 40% C. 28% D. 8%

Lesson Quiz for Student Response Systems 7 10 3. Which of the following represents as a percent? A. 7% B. 17% C. 70% D. 77%

Lesson Quiz for Student Response Systems 2 5 4. Order 0.2, 14%, 0.63, and in order from least to greatest. A. 0.2, 14%, , 0.63 C. 14%, 0.2, , 0.63 B. 14%, 0.2, 0.63, D. 0.63, , 0.2, 14% 2 5 2 5 2 5 2 5

Lesson Quiz for Student Response Systems 5. Choose the most useful method of computation and then solve. If 45 out of 90 students surveyed prefer Algebra to Geometry, what percent of these students prefer Algebra? A. calculator; 30% B. calculator; 50% C. mental math; 30% D. mental math; 50%