1. Scientific Notation SWBAT write the scientific notation for numbers given in standard form; write the standard form for numbers given in scientific notation; compare and order numbers in scientific notation

2. Scientific Notation  What happens to a number when you multiply it by 10? The decimal moves to the right  What happens to a number when you divide by 10? The decimal moves to the left

3. Scientific Notation  Scientific notation A number written as the product of two numbers  The first number must be greater than or equal to 1 and less than 10  1 ≤ x < 10  The second number is written as a power of 10

4. Examples  2.5 x 10 -3  7.83 x 10 0  2.925 x 10 -2  4.04 x 10 -9  7.1 x 10 -4  6 x 10 7  0.0025  6400  -54,200,000  0.0000909  6,100,000  -0.0000329

5. Do the Try These problems on your paper  Write in standard form  4 x 10 4 40,000  8.13 x 103 8,130  1.36 x 10 -6 0.00000136  Write in scientific notation  4,000,000 4 x 10 6  7,500,000 7.5 x 10 6  0.00000000475 4.75 x 10 -9

6. Comparing numbers in scientific notation  Compare the exponents If they are different the number with the greater exponent is larger If they are the same the compare the decimal factors

7. Which is greater?  6.3 X 10 6 ____ 6.456 X 10 4  7.23 X 10 -5 ____ 9.5 X 10 -5  4.789 X 10 -2 ____ 4.09 X 10 -4

8. Order least to greatest  7.07 X 10 6, 9.35 X 10 4, 8.17 X 10 6  8.137 X 10 -11, 2.015 X 10 -6, 1.008 X 10 -7  Greatest to Least  6.72 X 10 -3, 2.79 X 10 -2, 5.921 X 10 -3  6.817 X 10 -9, 9.012 X 10 -5, 7.783 X 10 -6