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7th Grade Math / Lesson 5B: Scientific Notation II

SCIENTIFIC NOTATION
What will we be learning in this unit?


  • In this lesson you will learn about scientific notation.

    Vocabulary words are found in this purple color throughout the lesson. Remember to put these in your notebook.


    Standard form of a number is the way we see and use numbers on a regular basis.

    Scientific Notation is a way of writing very large values and very small values more efficiently.
    Like this: 54,300,000 can be written as 5.43 X 107

    Scientific Notation has two parts:
  • The first part needs to be a value that is at least 1 and less than 10.

  • The second part is a power of 10

    *Hint: The exponent is the same as the number of times the decimal point moves in the original number.


    Changing from scientific notation to standard form

  • If the exponent is positive: move the decimal point to the right.
    Ex) 4.3 x 10 = 43,000

  • The exponent tells you how many tens you are multiplying by. Which is why you move the decimal point the same number of times as the decimal number.
    4.3 x 10 = 43 x 10 x 10 x 10 x 10 = 43,000


    Change the following scientific notation numbers into standard form

    1. 3.08 x 10 5
    2. 2.11 x 103
    3. 6.3 x 10 7
    4. 5.123 x 101


    Change the following scientific notation numbers into standard form

    1. 3.08 x 10 5     308,000
    2. 2.11 x 103      2,110
    3. 6.3 x 10 7       63,000,000
    4. 5.123 x 101    51.23