Online Pre-Algebra Tutoring: Scientific Notations

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Learn about  Scientific Notations from Certified Online Pre-Algebra Tutor

Scientific notation is a standard way of writing numbers; it helps us to deal with very large or very small numbers. A number in scientific notation has two components a number which is either an integer or a decimal multiplied by a power of 10. This number is always 1 or more and less than 10.

Rules to Change from Scientific Notation to Standard Form:

(1)Move the decimal point to the right for positive power of 10.   The power tells you how many places to move. (2)Move the decimal point to the left for negative power of 10.  Again, the power tells you how many places to move.

Let’s understand with an example

How do you write 7.9 × 101 in standard form?

The power of 10 tells you how many places to the right to move the decimal point Look at 101. The 10 is raised to the power of 1. Move the decimal point 1 place to the right. 7.9 → 79. 7.9 × 101 = 79

Check Point

  1. How do you write 2.4 × 103 in standard form?
  2. How do you write 3.3 × 105 in standard form?
  3. How do you write 9.5 × 102 in standard form?
  4. How do you write 5.2 × 104 in standard form?
  5. How do you write 8.1 × 101 in standard form?
Answer Key
  1. 2400
  2. 330000
  3. 950
  4. 52000
  5. 81

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