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Scientific Notation.

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Presentation on theme: "Scientific Notation."— Presentation transcript:

1 Scientific Notation

2 Scientific Notation A number is expressed in scientific notation when it is in the form a x 10n where a is 1 or greater, but less than 10 and n is an integer

3 When using Scientific Notation, there are two kinds of exponents: positive and negative
Positive Exponent: 2.35 x 108 Negative Exponent: 3.97 x 10-7

4 When changing scientific notation to standard notation, the exponent tells you which direction to move the decimal: With a positive exponent, move the decimal to the right: 4.08 x 103 = 4 0 8 Don’t forget to fill in your zeroes!

5 When changing scientific notation to standard notation, the exponent tells you which direction to move the decimal: With a negative exponent, move the decimal to the left: 4.08 x 10-3 = Don’t forget to fill in your zeroes!

6 An easy way to remember this is:
If an exponent is positive, the number gets larger, so move the decimal to the right. If an exponent is negative, the number gets smaller, so move the decimal to the left.

7 The exponent also tells how many spaces to move the decimal:
In this problem, the exponent is +3, so the decimal moves 3 spaces to the right.

8 The exponent also tells how many spaces to move the decimal:
In this problem, the exponent is -3, so the decimal moves 3 spaces to the left.

9 Try changing these numbers from Scientific Notation to Standard Notation:
9.678 x 104 x 10-3 x 107 x 10-5 96780

10 When changing from Standard Notation to Scientific Notation:
1) First, move the decimal after the first counting number: 2) Second, add your multiplication sign and your base (10). x 10 3) Count how many spaces the decimal moved and this is the exponent. x 10 3 3 2 1

11 When changing from Standard Notation to Scientific Notation:
4) See if the original number is greater than or less than one. If the number is greater than one, the exponent will be positive. = x 105 If the number is less than one, the exponent will be negative. = 6.72 x 10-8

12 Try changing these numbers from Standard Notation to Scientific Notation:
.08376 5673 x 106 3.45 x 10-5 8.376 x 102 5.673 x 103


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