1. 7-4 Scientific Notation Goals:
Use scientific notation to represent numbers.
Multiply and divide numbers in scientific notation.
Eligible Content: A

2. Vocabulary Decimal Form – regular numbers.
Examples:
75,000,000
0.0045
230
Scientific Notation – a shorter way to write really big or really small numbers.
6.02 x 105
9.2 x 10-5

3. Scientific Notation Always looks like:
c can be any number from 1 to 10, but it cannot be 10.
1 ≤ c < 10
n can be any integer (positive or negative whole number).
If n is positive, the number is larger than 1. (big numbers)
If n is negative, the number is smaller than 1. (small numbers)

4. Examples Write each number in scientific notation. 2.4 x 107
24,000,000
36,400
0.002
4,502,000,000
2.4 x 107
3.64 x 104
3.5 x 10-4
2 x 10-3
4.502 x 109

5. Examples Write each number in decimal form. 5.2 x 104 52,000
624

6. Express 458,000,000 in scientific notation.
B × 107
C × 108
D × 10–8

7. Express 0.0000452 in scientific notation.
B × 10–4
C × 105
D × 10–5

8. Express 3.16 × 10–2 in standard notation.B C
D. 316

9. Express 7.61 × 103 in standard notation.B
C. 761
D. 7610

10. Practice
Worksheet – “7-2 Scientific Notation”
#1-8

11. Multiplying Numbers in Scientific Notation
ADD exponents

12. Dividing Numbers in Scientific Notation
DIVIDE numbers
SUBTRACT exponents

13. Examples

14. Evaluate (8 × 105)(2.1 × 10–3). Express the result in both scientific notation and standard form.

15. Evaluate Express the result in both scientific notation and standard form.

16. Practice
Worksheet – “7-2 Scientific Notation”
#9-14

17. Homework
Pages #20-25, 28-33, 36-41