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Lesson Menu. Main Idea NGSSS Key Concept: Percents and Decimals Example 1: Percents as Decimals Example 2: Percents as Decimals Example 3: Decimals as Percents Example 4: Decimals as Percents Example 5: Fractions as Percents Example 6: Fractions as Percents

nigel-tillman
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  1. Lesson Menu Main Idea NGSSS Key Concept: Percents and Decimals Example 1: Percents as Decimals Example 2: Percents as Decimals Example 3: Decimals as Percents Example 4: Decimals as Percents Example 5: Fractions as Percents Example 6: Fractions as Percents Example 7: Compare Rational Numbers Example 8: Order Rational Numbers Five-Minute Check

  2. Compare and order rational numbers. Main Idea/Vocabulary

  3. MA.8.A.6.4 Perform operations on real numbers (including integer exponents, radicals,percents, scientific notation, absolute value,rational numbers, and irrational numbers) using multi-step and real world problems. NGSSS

  4. Key Concept

  5. Percents as Decimals Write 52% as a decimal. 52% = 52% Divide by 100. = 0.52 Remove the percent symbol. Answer: 0.52 Example 1

  6. Write 4% as a decimal. A. 0.004 B. 0.04 C. 0.4 D. 4.0 Example 1 CYP

  7. Percents as Decimals Write 245% as a decimal. 245% = 245% Divide by 100. = 2.45 Remove the percent symbol. Answer: 2.45 Example 2

  8. Write 320% as a decimal. A. 0.032 B. 0.32 C. 3.2 D. 32 Example 2 CYP

  9. Decimals as Percents Write 0.3 as a percent. 0.3 = 0.30 Multiply by 100. = 30% Add the percent symbol. Answer: 30% Example 3

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

  11. Decimals as Percents Write 2.71 as a percent. 2.71 = 2.71 Multiply by 100. = 271% Add the percent symbol. Answer: 271% Example 4

  12. Write 1.045 as a percent. A. 1.045% B. 10.45% C. 104.5% D. 1,045% Example 4 CYP

  13. Write as a percent. Fractions as Percents Method 1 Use a proportion. Example 5

  14. 0.75 Answer: So, or 75%. Fractions as Percents Method 2 Write as a decimal. First write as a decimal. Then write as a percent. = 75% Example 5

  15. Write as a percent. A. 17% B. 20% C. 68% D. 85% Example 5 CYP

  16. Write as a percent. _ 0.166 Answer: So, . Fractions as Percents 6 … 6 0.1 – 6 40 – 36 40 – 36 4 Example 6

  17. Write as a percent. A. B. C. D. Example 6 CYP

  18. Compare Rational Numbers POLITICSIn Sun City, 0.45 of the voters are Democrats. In Marysville, 48% of the voters are Democrats. In which town is there a greater portion of Democrats? Since 0.45 = 45% and 45% < 48%, Marysville has a greater portion of Democrats. Answer: Marysville Example 7

  19. DOGS In a dog show, of the dogs were hounds, 17% were sporting dogs, and 13 out of 125 were herding dogs. Which is a true statement? A. There were more hound dogs than sporting dogs. B. There were more herding dogs than hound dogs. C. There were more sporting dogs than hound dogs. D. There were the same number of sporting dogs and hound dogs. Example 7 CYP

  20. Order 0.77, from least to greatest. Answer: So, from least to greatest, the numbers are and 0.77. Order Rational Numbers From least to greatest, the percents are 7%, 70%, 76%, and 77%. Example 8

  21. Order and from least to greatest. A. B. C. D. Example 8 CYP

  22. Write 23% as a decimal. A. 0.023 B. 0.23 C. 2.3 D. 23 Five Minute Check 1

  23. Write 106% as a decimal. A. 0.00106 B. 0.0106 C. 0.106 D. 1.06 Five Minute Check 2

  24. Write 0.0062 as a percent. A. 0.062% B. 0.62% C. 6.2% D. 62% Five Minute Check 3

  25. Write as a percent. A. 0.575% B. 5.75% C. 57.5% D. 575% Five Minute Check 4

  26. Write as a percent. A. B.40% C.44% D. Five Minute Check 5

  27. A. B. C. D. Choose the fraction that is less than 23%. Five Minute Check 6

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