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Scientific Notation

Scientific Notation. What is it? How do I use it? Why?!?!?!. Scientific Notation. Scientific notation, also called power-of-10 notation, is a method of writing extremely large and small numbers. Scientific notation makes it easy to multiply and divide gigantic and/or very small numbers.

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Scientific Notation

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  1. Scientific Notation What is it? How do I use it? Why?!?!?!

  2. Scientific Notation • Scientific notation, also called power-of-10 notation, is a method of writing extremely large and small numbers. • Scientific notation makes it easy to multiply and divide gigantic and/or very small numbers. • For very large or very small numbers, it is sometimes simpler to use "scientific notation" (so called, because scientists often deal with very large and very small numbers). • The format for writing a number in scientific notation is fairly simple: first digit of the number followed by the decimal point and then all the rest of the digits of the number, times 10 to an appropriate power.

  3. ScientificNotation • A number is in Scientific Notation if: • It is in the form of a x 10b • a is a decimal. • 1<a <10 • b is an integer

  4. Determine if each of the following is in proper Scientific Notation form. Be prepared to support your answer.

  5. Compare your answers with the table below.

  6. To write a number in Scientific Notation:Step 1: • Find the original decimal point, label the decimal point “old”. What if there is not a decimal point? Where is it? .000054 43.56 4,560,000,000 old old old

  7. To write a number in Scientific Notation:Step 2: • Start on the left and put a new decimal point after the first digit that is NOT a zero. Label this decimal point “new”. Write this number down in front of the x 10. .000054 43.56 4,560,000,000 .00005.4 4.3.56 4.560,000,000 new new old old new old 5.4 x 10 4.356 x 10 4.6 x 10

  8. To write a number in Scientific Notation:Step 3: • Count the number of spaces from the new to the old decimal point. This is your exponent. Decimal x 10 Think of a number line, if you count the right, the exponent will be positive, to the left negative. new old old new old new 4.560,000,000 .000054 4.3.56 5…4….3….2……1 1 1…..2....3…..4……5..6……7…..8….9 Counted left, exponent negative. Counted right, exponent positive. Counted right, exponent positive. -5 4.356 x 10 1 9 5.4 x 10 4.56 x 10

  9. To write a number in Scientific Notation:Final Answers .000054 43.56 4,560,000,000 5 4.356 x 10 1 9 5.4 x 10 4.56 x 10

  10. Let’s Practice! Directions: Label the new and the old decimals. Write in Scientific Notation, OR write the number in standard notation. • 5,760,000,000 • 0.00000765 • 4.5 x 108 • 3.8 x 10-5 • 6,798,000 • 1.34 x 106 • 0.000945 • 5.76 x 109 • 7.65 x 10-6 • 450,000,000 • 0.000038 • 6.798 x 106 • 1,340,000 • 9.45 x 10-4

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