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# Scientific Number

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### Scientific Number

1. 1. WRITINGNUMBERS IN SCIENCE
2. 2. Rules for Numbers in Science• Rule 1: Never use commas when writing large numbers, uses spaces instead 300 000 000.0 NOT 300,000,000.0• Rule 2: When writing a decimal number, always put a zero in front of the decimal 0.004 NOT .004• Rule 3: When writing numbers between 1 and 0, put spaces every three numbers (just like large numbers) 0.000 000 003 NOT 0.000000003
3. 3. Come up with a rationale for each of these rules
4. 4. SCIENTIFICNOTATION (aka: SciNo)
5. 5. SCIENTIFIC NOTATIONAn easy way to write very large or very small numbers
6. 6. Scientific Notation in Action1 “mole” = 602 200 000 000 000 000 000 000 or 6.022 x 1023 0.000 000 000 000 000 000 000 000 43 or 4.3 x 10-25
7. 7. Brainstorm some reasons why it is advantageous to writenumbers in scientific notation
8. 8. Rules of Scientific Notation• Rule 1: All numbers must be between 1 and >10• Rule 2: All exponents on the 10 must be whole numbers• Rule 3: The exponent on the 10 is equal to the number of places you move the decimal to satisfy Rule #1.• Rule 4: If the original number is between 1 and 0, the exponent will be negative; otherwise it is positive• Rule 5: Only have as many numbers as you have significant figures
9. 9. Practice with Scientific Notation 4.24 x 1094 240 000 000 = __________________0.000 080 040 = __________________ 8.004 x 10-50.002 030 = __________________ 0.000 001 6631.663 x 10-6 = __________________3.03 x 104 = __________________ 30 3003.40 x 10-4 = __________________
10. 10. Multiplication with Scientific Notation• Multiply the numbers and ADD the exponents• (7.50 x 105 ) * (6.1 x 103 ) = 46 x 108
11. 11. Division in Scientific Notation• Divide the numbers and SUBTRACT the exponents• (7.50 x 103 ) / (6.1 x 105 ) = 1.2 x 10-2
12. 12. Addition and Subtraction in Scientific Notation• Get the exponents the same before adding or subtracting(5.30 x 103 ) + (6.0 x 102 ) =(5.30 x 103 ) + (0.60 x 103 ) = 5.90 x 103