Lesson Objectives Perform mathematical operations in scientific notation

Operations in Scientific Notation Any number in scientific notation can be added, subtracted, multiplied, or divided

Operations in Scientific Notation For numbers in scientific notation to be added or subtracted, they must have the same exponent value If this is true, just add or subtract the coefficients If this is not true, you must move the decimal point

Addition/Subtraction Examples 6.7 x 103 + 2.1 x 103 8.8 x 103

Addition/Subtraction Examples 8.3 x 10-2 – 4.7 x 10-2 3.6 x 10-2

Addition/Subtraction Examples 5.7 x 1011 + 7.4 x 1011 13.1 x 1011 1.31 x 1012

Addition/Subtraction Examples 9.4 x 10-3 – 3.2 x 10-4 94 x 10-4 – 3.2 x 10-4 90.8 x 10-4 9.08 x 10-3=9 x 10-3

Addition/Subtraction Examples 6.8 x 107 + 1.6 x 109 0.068 x 109 + 1.6 x 109 1.668 x 109 = 1.7x109

Operations in Scientific Notation For numbers in scientific notation to be multiplied or divided, they do not have to have the same exponent value Multiply or divide the coefficients If you multiply, add the exponents If you divide, subtract the exponents (always start with the one being divided)

Multiplication/Division Examples 2.3 x 104 x 3.5 x 107 8.1 x 1011

Multiplication/Division Examples 7.4 x 109 / 1.9 x 103 3.9 x 106

Multiplication/Division Examples 8.7 x 10-3 x 3.3 x 104 28.7 x 101 2.9 x 102

Multiplication/Division Examples 3.2 x 10-5 / 9.5 x 103 0.337 x 10-8 3.4 x 10-9