2. Find each value. 1. 9 2 3. 15 2 5. 10 2 2. 12 2 4. 10 3 6. 10 4 7. Each day, Lowell runs one more lap than he did the day before. After seven days he has run 77 laps. Hap many laps did he run on the first day?

4. 7 th Grade Mathematics & Pre-Algebra

5.  Today we will learn to express large numbers in scientific notation.

6.  Define the following terms in your notebook: 1. standard form 2. scientific notation

7. Power of 10MeaningValue 10 1 10 10 2 10 100 10 3 10 10 101000 10 4 10 5

8. 1. Multiply 21 10 4 2. Multiply 14 10 3 3. Multiply 25 10 2 4. Multiply 18 10 4 5. Multiply 40 10 4

9. Find each product. 1. 137 10 3 2. 46.2 10 5 3. 212 10 4 4. 31.6 10 3

10.  Numbers are usually written in standard form.  Example: 17,900,000

11. Scientific notation is a kind of shorthand that can be used to write large numbers. Numbers written in scientific notation are written as the product of two factors. Scientific Notation is also used to write really small numbers. Example: 9,580,000 = 9.58 x 10 6 Example: 0.0000135 = 1.35 x 10 -5

12. Write each number in scientific notation. 1. 813,000,000 2. 4,340,000 3. 327,000,000 4. 428,000 5. 1,610,000

13.  Write each number in scientific notation. 1. 0.00057 2. 0.03 3. 0.000014 4. 0.000522

14. Pluto is about 3.7 x 10 9 miles from the Sun. Write this distance in standard form.

15. The population in China in the year 2000 was estimated to be about 1.262 x 10 9. Write this number in standard form.

16.  In a vacuum, light travels at a speed of about nine hundred and eighty million feel per second. Write this speed in scientific notation.

17.  Earth is about 9.292 x 107 miles from the Sun. Write this number in standard form.

18.  The atomic mass of an element is the mass, in grams, of one mole (mol), or 6.02 x 10 23 atoms.  A. How many atoms are there in 3.5 mol of carbon?  B. If you know that 3.5 mol of carbon weighs 42 grams, what is the atomic mass of carbon?  C. Using your answer from part B, find the approximate mass of one atom of carbon.

19.  10 10 is about the number of starts in our galaxy.  10 20 is the total number of starts in the universe.  10 30 kilograms is about the mass of the Sun.  10 67 is about the total number of ways to arrange 52 cards.  10 40,000 is about the chance of a monkey’s correctly typing Hamlet by hitting random keys on a computer keyboard.

20. The table lists some very long distances. Put them in order from greatest to least. DescriptionDistance in Miles Sun to nearest star2.5 x 10 13 Light-year5.88 x 10 12 4 billion trips around the world 10 14

21. Two numbers are written in scientific notation. How can you tell which number is greater?

22.  Textbook p. 98 (19-42)