1. Scientific Notation Pre-Algebra Number Sense 1.1

2. The Universe Within

3. Vocabulary Scientific Notation – is a product of two numbers. One number is between 1 and 10 and the other is a power of 10. For Example 8 x 10 5

4. What is the Standard Form? 2 3 4 5 100 1,000 10,000 100,000 1x10

5. What is the Standard Form? Notice the relationship between the exponent and the number of zeroes in the standard form. 2 3 4 5 100 1,000 10,000 100,000 1x10

6. What Is the Standard Form? 2 1x10 3 4 5 10,000 100,000 100 1. 00 10.010.0100. 10001.00010.00100.01000. 1.000010.000100.001000.010000. 1.0000010.0000100.0001000.0010000.0100000. Notice the relationship between the positive exponent and the placement of the decimal to the right.

7. What Is the Standard Form? -2 -3 -4 -5 0.01 0.001 0.0001 0.00001 1x10

8. What Is the Standard Form? Notice the relationship between the exponent and the number of zeroes in the standard form. -2 -3 -4 -5 0.01 0.001 0.0001 0.00001 1x10

9. What Is the Standard Form? Notice the relationship between the negative exponent and the placement of the decimal to the left. -2 -3 -4 -5 0.01 0.001 0.0001 0.00001 1x10 1.1..1.10.01 1.1..1.1.010.001 1.1..1.1.01.0010.0001 1.1..1.1.01.001.00010.00001

10. Writing Large Numbers in Scientific Notation Move the decimal to the right two place values. 6 x 10 2 = 600

11. Remember! The exponent is the same as the number of zeros. 6 x 10 2 = 600

12. What is the Standard Number? 9.2 x 10 4 = 92,000

13. What is the Standard Number? 8.24 x 10 -3 =0.00824 Move the decimal to the left three place values.

14. What is the Standard Number? 7 x 10 -2 = 0.07

15. What is the Standard Number? 7 x 10 2 = 700

16. What is the Standard Number? 8.24 x 10 3 = 8,240

17. What is the Standard Number? 4.01 x 10 1 = 40.1

18. What is the Standard Number? 9.2 x 10 -4 = 0.00092

19. What is the Standard Number? 4.01 x 10 = 0.401

20. What is the Scientific Notation? 5 x 10 2 = 500

21. What is the Scientific Notation? 6.238 x 10 3 = 6,238

22. What is the Scientific Notation? 9.4872 x 10 4 = 94,872

23. What is the Scientific Notation? 7.95041 x 10 5 =795,041

24. What is the Scientific Notation? 5 x 10 -2 = 0.05

25. What is the Scientific Notation? 6.238 x 10 -3 = 0.006238

26. What is the Scientific Notation? 9.487 x 10 -4 = 0.0009487

27. What is the Scientific Notation? 7.9504 x 10 -5 = 0.000079504

28. Summary Define scientific notation? Explain the usefulness of scientific notation? What is the difference between a number written in standard form and a number written in scientific notation? Explain how to write a number in standard form into scientific notation. Explain how to write a number in scientific notation in standard form.

29. Show me what you have learned. Now write in order the steps you used to write your number in scientific notation. 1,63274528.590.08 Choose one standard number and write it in scientific notation.