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# 8 4 scientific notation - day 1

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### 8 4 scientific notation - day 1

1. 1. 8-4Read P. 512 - 514
2. 2. Writing Numbers Scientific notation is used to write very large and very small numbers. Today we will focus on only the larger numbers – using positive exponents. The distance to the sun is 150,000,000 km or 1.5x108 km.
3. 3. Writing in Scientific Notation In scientific notation, a number is written m 1 a 10 a 10 using “POWERS OF 10’s” Let’s investigate using these powers to understand the pattern. Do you remember this table from the last section?
4. 4. Number of zeros = exponent 1 100 1 10 101 10 100 102 10 x 10 1000 103 10 x 10 x1010,000 104 10x10x10x10100,000 105 10x10x10x10x10
5. 5. A number in scientific notation has two parts: 1) a number greater than or equal to 1, but less than 10 multiplied by 2) A power of ten
6. 6. Moving Places 4x103 = 4x10x10x10 = 4x1000 = 4000 Notice: the exponent on the 10 is 3 and the decimal after the 4 moved to the right 3 spaces. 2.3x105 = 230,000 moving the decimal right 5 spaces. 2.3x105 is scientific notation and 230,000 is decimal notation (or standard form).
7. 7. Try theseWrite each in scientific notation1) 320,000,0002) 45,9003) 20,000,000,0004) 38 million5) 9.22 million
8. 8. Try theseWrite each in standard form1) 8.9 x 1052) 5 x 1043) 8.345 x 1084) 2.9 x 1015) 5 x 100
9. 9. Explain why these example are NOT in scientific notation. Be specific!1) 38.6 x 1052) 5.2 + 1083) 10 x 10124) 0.4 x 106
10. 10. Part 2 – Small Numbers Scientific notation can also be used to represent very, very small numbers. The DNA in a chromosome is very thin and tightly packed inside a cell, twisted and coiled so that it is 1/10000 cm long. 1/10000 = 0.0001
11. 11. Number Decimal Form With Exponents 10 10.0 101 1 1.0 100 1/10 0.1 10-11/100 0.01 10 -21/1000 0.001 10 -3
12. 12. Remember the rule! A number in scientific notation has two parts: 1) a number greater than or equal to 1, but less than 10 multiplied by 2) A power of ten
13. 13.  These numbers today will be small POSITIVE numbers, but expressed with negative exponents. -1 0 1 2
14. 14. Write each number in scientific notation:1) 0.00352) 0.00000063) 0.0000244) 24 millionths5) 14 thousandths6) 218 hundred-thousandths
15. 15. Put each in decimal (standard) form:1) 3.7 x 10 -52) 6 x 10 -33) 9.752 x 10 -84) 1 x 10 -7
16. 16.  Assignment: P. 515 1-27