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Five-Minute Check (over Lesson 7–1) Then/Now Key Concept: Percents and Decimals Example 1: Percents as Decimals Example 2: Percents Less than 1 or Greater than 100 Example 3: Decimals as Percents Example 4: Fractions as Percents Example 5: Real-World Example: Compare Numbers Concept Summary: Common Equivalents Lesson Menu

A. 30% B. C. D. 22% 5-Minute Check 1

A. 17% B. 7% C. 0.7% D. 0.007% 5-Minute Check 2

Write 32% as a fraction in simplest form. B. C. D. 5-Minute Check 3

Write 6% as a fraction in simplest form. B. C. D. 5-Minute Check 4

A. 38% B. C. 0.35 D. 1 out of 3 5-Minute Check 5

Which of the following represents the shaded portion of the figure? B. 40% C. 45% D. 60% 5-Minute Check 6

Express percents as decimals and decimals as percents. You have already expressed fractions as percents and percents as fractions. (Lesson 7–1) Express percents as decimals and decimals as percents. Compare and order fractions, decimals, and percents. Then/Now

Concept A

23% = .23 Remove the % symbol and divide by 100. Percents as Decimals A. Write 23% as a decimal. 23% = .23 Remove the % symbol and divide by 100. Add a zero in the ones place. = 0.23 Answer: 0.23 Example 1A

4% = .04 Remove the % symbol and divide by 100. Percents as Decimals B. Write 4% as a decimal. 4% = .04 Remove the % symbol and divide by 100. Add a zero in the ones place. = 0.04 Answer: 0.04 Example 1B

A. Write 45% as a decimal. A. 0.0045 B. 0.045 C. 0.45 D. 4.50 Example 1A

B. Write 5% as a decimal. A. 0.005 B. 0.05 C. 0.50 D. 5.00 Example 1B

0.7% = .007 Remove the % symbol and divide by 100. Percents Less than 1 or Greater than 100 A. Write 0.7% as a decimal. 0.7% = .007 Remove the % symbol and divide by 100. Add a zero in the ones place. = 0.007 Answer: 0.007 Example 2A

291% = 2.91 Remove the % symbol and divide by 100. Percents Less than 1 or Greater than 100 B. Write 291% as a decimal. 291% = 2.91 Remove the % symbol and divide by 100. Answer: 2.91 Example 2B

A. Write 0.4% as a decimal. A. 0.004 B. 0.04 C. 0.4 D. 4.0 Example 2A

B. Write 328% as a decimal. A. 0.0328 B. 0.328 C. 3.28 D. 32.8 Example 2B

0.6 = 0.60 Multiply by 100. Add a placeholder zero. Decimals as Percents A. Write 0.6 as a percent. 0.6 = 0.60 Multiply by 100. Add a placeholder zero. = 60% Add the % symbol. Answer: 60% Example 3A

B. Write 5.71 as a percent. 5.71 = 5.71 Multiply by 100. Decimals as Percents B. Write 5.71 as a percent. 5.71 = 5.71 Multiply by 100. = 571% Add the % symbol. Answer: 571% Example 3B

C. Write 0.008 as a percent. 0.008 = 0.008 Multiply by 100. Decimals as Percents C. Write 0.008 as a percent. 0.008 = 0.008 Multiply by 100. = 0.8% Add the % symbol. Answer: 0.8% Example 3C

A. Write 0.7 as a percent. A. 0.007% B. 0.07% C. 7% D. 70% Example 3A

B. Write 4.93 as a percent. A. 0.493% B. 4.93% C. 49.3% D. 493% Example 3B

C. Write 0.009 as a percent. A. 0.09% B. 0.9% C. 9% D. 90% Example 3C

Fractions as Percents A. = 37.5% Answer: 37.5% Example 4A

Fractions as Percents B. = 0.88888… ≈ 88.9% Answer: 88.9% Example 4B

Fractions as Percents C. ≈ 213.3% Answer: 213.3% Example 4C

Fractions as Percents D. = 0.8% Answer: 0.8% Example 4D

A. Express as a percent. Round to the nearest tenth, if necessary. B. 78.0% C. 87.5% D. 93.5% Example 4A

B. Express as a percent. Round to the nearest tenth, if necessary. Example 4B

C. Express as a percent. Round to the nearest tenth, if necessary. B. 37.8% C. 143.7% D. 221.4% Example 4C

D. Express as a percent. A. 0.875% B. 0.78% C. 87.5% D. 78% Example 4D

and 0.35 as percents. Then compare with 25%. Compare Numbers BAKERY A baker said that 25% of his customers buy only bread, of his customers buy only cookies, and 0.35 buy only pies. Which of these groups is largest? and 0.35 as percents. Then compare with 25%. 0.35 = 35% Answer: Since 40% > 35%, and 40% > 25%, the group that buys only cookies is largest. Example 5

C. the groups are equal in size D. cannot be determined A. vocal music B. instrumental music C. the groups are equal in size D. cannot be determined Example 5

Concept B

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