2. 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

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

4. NGSSS 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.

5. Key Concept

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

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

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

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

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

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

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

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

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

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

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

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

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

19. Example 7 Compare Rational Numbers Answer:Marysville POLITICS In 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.

20. Example 7 CYP 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. 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?

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

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

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

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

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

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

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

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