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4.5 Scientific Notation

4.5 Scientific Notation. The table shows relationships between several powers of 10. Each time you divide by 10, the exponent in the power decreases by 1 and the decimal point in the value moves one place to the left.

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4.5 Scientific Notation

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  1. 4.5 Scientific Notation

  2. The table shows relationships between several powers of 10. • Each time you divide by 10, the exponent in the power decreases by 1 and the decimal point in the value moves one place to the left. • Each time you multiply by 10, the exponent in the power increases by 1 and the decimal point in the value moves one place to the right.

  3. You can find the product of a number and a power of 10 by moving the decimal point of the number. You may need to write zeros to the right or left of the number in order to move the decimal point. Multiply. A. 14  104 B. 3.6  10-5 14. 0 0 0 0 3.6 0 0 0 0 0.000036 140,000

  4. Used to write REALLY big or small numbers 14,500 0.00002

  5. Rules: Scientific Notation: • There can ONLY be ONE digit to the left of the decimal point (and it can’t be 0). • The exponent tells the # of times to move the decimal. • If the exponent is positive, move right. If it is negative, move left.

  6. Examples: • Write each # in Scientific Notation: • 4,256,700 2) 0.0000745 • Write each # in standard form: • 5.77 x 10³ 4) • Multiply: 5) 5,770 0.00016 8,400,000

  7. Comparing #’s: • Larger exponent = Larger # • If SAME exponent, compare decimal # part (larger decimal part = larger #) Ex: Order from least to greatest:

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