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

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

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

Examples  2.5 x  7.83 x 10 0  x  4.04 x  7.1 x  6 x 10 7   6400  -54,200,000   6,100,000 

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

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

Which is greater?  6.3 X 10 6 ____ X 10 4  7.23 X ____ 9.5 X  X ____ 4.09 X 10 -4

Order least to greatest  7.07 X 10 6, 9.35 X 10 4, 8.17 X 10 6  X , X 10 -6, X  Greatest to Least  6.72 X 10 -3, 2.79 X 10 -2, X  X 10 -9, X 10 -5, X 10 -6