# 1 – 5 Copy problem,expand, rewrite. Answer.

1. Warm up # 1 – 5 Copy problem,expand, rewrite. Answer. Simplify (clt):-2(5x – 8)+ 3x 6) 1) 7) Simplify: 2) 3) 8) Solve and Graph: 4) 5)

2. Homework Check and questions

3. REMINDERS: • Group Test Chapters 1 – 4 is Tomorrow, December 13 • LTs for Chpt 4 are due TOMORROW • All chapter 4 work is due by Tomorrow in your math period • Individual Test for Chapters 1 – 4 is Tuesday December 18

4. Scientific Notation

5. Learning Targets • #12: I can write a number in standard form B: 1 2 3 A: 1 2 3 I have these questions: 7NS1.1

6. Learning Targets • #13: I can write a number in scientific notation. B: 1 2 3 A: 1 2 3 I have these questions: 7NS1.1

7. Exponents of Ten What Is the Standard Form of These Tens? 2 100 10 10 10 10 3 1,000 4 10,000 5 100,000

8. Scientific Notation Scientists often work with very large and very small numbers. They use powers of 10 to keep these numbers simple. Positive Exponents are used for very large numbers such as astronomy and physics. Example: The planet Mercury is about 9.17 x 107 kilometers (91,700,000 km) from Earth Negative Exponents are used for very small numbers, such as those used in chemistry and biology. Example: The diameter of a human blood cell is approximately 7 x 10 -6meters (.000007 m).

9. Scientific Notation Scientists often write very LARGE numbers in scientific notation using positive exponents which consists of two factors. 1st Factor: a number less than 10. But greater than one. 2nd Factor: a power of ten.

10. When changing a number from standard form to scientific notation or scientific notation to standard form remember:(the) POWER = (the) PLACESand large numbers have positive exponents and small numbers have negative exponents.

11. Directions The volume of earth is 259,000,000,000 mi3 1) Add a decimal after the first number. 2.59 2) Count how many places there are after the decimal point. 2.59000 000 000 = 11 places 3) Write the decimal place as a power of ten. = 2.59 x 1011

12. Scientific Notation Examples: 6,320,000,000 = 9 place jumps 0.000027 = 5 place jumps

13. Large Numbers 59,000,000 = 7 jumps 140,000,000,000 = 11 jumps Small Numbers 0.000426 = 4 jumps 0.000009 = 6 jumps

14. White board Practice: Write in Scientific Notation 1) 81,000 2) 0.00015 4 jumps 4 jumps

15. Multiplying or writing each number in standard form (Power = Places): Example: power = +4 so jump decimal 4 places to make a LARGE number 4.5 x 104 = 4.5000 = 45,000 Example: power = -3 so jump decimal 3 places to make a small number. 21.75 x 10-3 = .02175 = .02175

16. White board Practice: Write in Standard Form 1) 2) 1.9 0 0 0 0 0 0 0 0 0 0 3.41 190,000 0.00000341

17. That's all Folks! Take Out Your Learning Targets!

18. Standard & Exponent Form • Standard Form is when the number is written out. • Example: 8, 200 • Exponent Form is when the number is written in • Scientific Notation • Example: 8.2 x 103 Exponent Form Standard Form = 8,200

19. LT # 12 Write in Standard Form Positive Exponents move to the right (Number multiplied by power of 10 gets larger if exponent is positive!) 1) 2) 6 0 0 0 0 0 0 0 0 1.9 0 0 0 0 600,000,000 190,000 Negative Exponents move to the left (Number multiplied by power of 10 gets smaller if exponent is negative!) 3) 4) 0 0 0 0 0 0 0 2.43 0 0 0 0 0 0 3.41 0.000000243 0.00000341

20. Lt # 13 Large Numbers If the standard form is more than one, the exponent for the power of 10 will be positive! 59,000,000 = 7 jumps left 140,000,000,000 = 11 jumps left Small Numbers 0.000426 = If the standard form is less than one, the exponent for the power of 10 will be negative! 4 jumps right 0.000009 = 6 jumps right

21. Name___________December 12, 2012 Period___ Worksheet (yellow): Scientific Notation and Review on Back