How Many is a Million?

1. How Many is a Million? Data Around Us Investigation 4 AMSTI 2008 Leigh Ann Raby & Brenda Daniel

2. BIG • http://www.imdb.com/video/screenplay/vi565838105/

4. ARI Reading Objective • In your journal record • 3 things you know • 2 things you want to know • 1 thing you want to know

5. Real World Math Calculating the sweet spot on a bat: http://www.thefutureschannel.com/dockets/realworld/testing_bats/

6. Problem 4.1 • Complete sections A - D

7. Problem 4.1Answer • A) If a heart beats 70 times in one minute will beat 70 * 60 = 4200 in one hour and 4200 * 24 = 100,800 times in one day. 1,000,000 / 100,800 = 9.9 days

8. Problem 4.1Answer • B) You would need 1000 bags to get 1,000,000 chips. The volume of 1000 bags is 20 * 12 * 6 * 1000 = 1,440,000 cm3 which is 14,400 m3 and should fit in any classroom.

9. Problem 4.1Answer • C) 1,000,000 hours / 24 = 41,667 days and using 365 days in one year, this person is 41,667 / 365 = 114 years old.

10. Problem 4.1Answer • D) A square that is 100cm x 100cm, should accommodate 7 students. The area of this square is 10,000cm3. Now 1,000,000 / 10,000 = 100. If we can put 7 students in each square and we have 100 squares then we have a total of 700 students.

11. Did you know? • The words billion and trillion do not mean the same thing in Great Britain as they do in the United States. In the US, when we say “a million”, “a billion”, and “a trillion,” we mean these numbers: • 1 million = 1,000,000 • 1 billion = 1,000,000,000 • 1 trillion = 1,000,000,000,000

12. Did you know? • In Great Britain, a million is 1,000,000, as it is in the US, but a billion is 1,000,000,000,000 – the number we call a trillion. And a trillion is 1,000,000,000,000,000,000. • Why and where would you need this information?

13. Let’s “look” at a million, a billion, and a trillion. • First, we start with a unit. • Second, we take 10 units to make a long. • Third, we take 10 longs to make a flat.

14. Problem 4.2 • Complete sections A – E.

15. Problem 4.2Answer • A) 100 • B) 1000 • C) 10,000 • D) 100,000 • E) 1,000,000 (This is 1000 super cubes)

16. United Streaming Exponents_and_Scientific_Notation Video.asf

17. Think about this ! • Explore your graphing calculator using “Think about this” on page 41.

18. Scientific Notation 100,000,000,000 can you write it in a shorter way? 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 OR 1011 – 10 is the base and 11 is the exponent. The exponent tells you how many times you used your base.

19. Scientific Notation Find a shorter way to write 250,000,000,000 2.5 x 1011 Write 4,000,000 using scientific notation 4.0 x 106

20. Problem 4.3 • Complete sections A – E.

21. Problem 4.3Answer • A. 1) 10,000,000,000,000,000,000,000 2) 10,000,000,000,000 3) 100,000,000,000 4) 10,000,000,000

22. Problem 4.3Answer • B. 1) 10 2) 106 • C. 1) 3,000,000,000 2) 25,000,000,000,000 3) 17,500,000,000

23. Problem 4.3Answer • D. 1) 5.0 x 106 2) 1.8 x 107 3) 1.79 x 1010 • E. 1) 1,700,000,000,000 or 1.7 x 1012 2) 1,700,000,000,000,000 or 1.7 x 1015 3) 2,350,000,000,000 or 2.35 x 1012 4) 36,980,000,000,000,000 or 3.698 x 1016

24. ACE • Complete: • # 1 – 3 on page 44 • # 8 – 10 on page 45 • # 14 – 15 on pages 46 – 47 • # 18 – 19 on pages 48 – 49

25. ACE • a) yes – they are about 1.9 years old b) no – they would be 1900 years old • 2740 years old • a) 9.9 days b) 9900 days or 27 years c) 1000 times = 14.28 minutes 1,000,000,000,000 times = 27,000 yrs

26. ACE 8. WWI $63,000,000,000 WWII $448,000,000,000 Korean War $67,000,000,000 Vietnam War $16,700,000,000 9. 5.947 x 1011 or $594,700,000,000 10. WWII cost the most ex: (answers will vary) length of war, world scope, etc.

27. ACE 14. a) $2,378,300,000 or $2.3783 x 109 b) $7,535,100,000 or $7.5351 x 109 c) in 1990 sales were nearly $5.2 billion more than 1975. Which is the sales in 1990 were 3 times more than in 1975.

28. ACE 15. (Answers will vary) There is a sharp decline in record sales, sharp increase in CD sales, and continued strong growth of cassette sales.

29. ACE 18. a) 4125 b) 533 19. a) Survival rate is 200 out of 4000 eggs which is 1 out of 20 or 5% b) Need 1,000,000 and only 1 out of 20 survive so multiply 1,000,000 x 20 = 20,000,000 eggs will need to be laid.

30. Self-Assessment Write in your journal the relevance of scientific notation and think of one way that a working adult might use it in their occupation. What do you like about it? What could be confusing to you?