<< Back to Lessons Index

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 107Scientific 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 3.08 x 10 5 2.11 x 103 6.3 x 10 7 5.123 x 101

 Change the following scientific notation numbers into standard form 3.08 x 10 5     308,000 2.11 x 103      2,110 6.3 x 10 7       63,000,000 5.123 x 101    51.23