Scientific Notation Pp
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This document discusses scientific notation and its rules. Scientific notation is used to write very large or very small numbers in a simpler way by moving the decimal point and using an exponent. There are four rules: 1) only the zeros after the first digit are replaced by an exponent, 2) there is one non-zero number before the decimal, 3) a negative exponent is used when moving the decimal right, and 4) a positive exponent is used when moving the decimal left.
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Scientific Notation Pp
- 1. How many sunflowers are in this field?
- 2. How much water do the people of Chicago use daily? 9,100,000,000 liters
- 3. What is the mass of the sun? Earth
- 4. The mass of the sun = 2 000 000 000 000 000 000 000 000 000 000 000g So how can we write this in a simpler way??
- 5. Scientific Notation: is used to make very LARGE or very SMALL numbers easier to handle .
- 6. RULE 1: SN only replaces zeroes! These zeroes represent decimal places! EXAMPLE: 45,000,000,000,000,000 = 4.5 X 10^16 (The 16 tells you that there are 16 decimal places after the 4 to the end of the number!)
- 7. RULE 2: There is only one number in front of the decimal. Example: 4 .1349494 x 10 ^ -9 Just remember that every number will be less than 10!
- 8. RULE 3: When moving the decimal RIGHT , the exponent will be NEGATIVE ! EXAMPLE: 0.0000432= 4.32 x 10 ^ -5 SMALL NUMBERS WILL ALWAYS HAVE A NEGATIVE EXPONENT!
- 9. Rule 4: When moving the decimal LEFT, the exponent will be POSITIVE ! EXAMPLE: 55,000,000,000 = 5.5 X 10 ^10 LARGE NUMBERS WILL ALWAYS HAVE A POSITIVE EXPONENT!