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Calculations with numbers written in Scientific Notation. Writing Numbers in Scientific Notation. Move the decimal point behind the first non-zero digit. 3,450,000 . 3.45 0.0000436 4.36 Count how many place values you moved the decimal and write this as your power of ten.
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Writing Numbers in Scientific Notation • Move the decimal point behind the first non-zero digit. 3,450,000. 3.45 0.0000436 4.36 • Count how many place values you moved the decimal and write this as your power of ten. 3.45 x 106 4.36 x 105 • Decide if the power of ten is positive or negative. • If the original number is larger than 1, the exponent will be positive. 3.45 x 106 • If the original number is smaller than 1, the exponent will be negative. 4.36 x 10-5
Calculations with numbers written in Scientific Notation • Multiplying numbers written in Scientific Notation: • Multiply the integers. (3.0 x 106)(4.0 x 103) = 12.0 x 10? • Add the exponents. (3.0 x 106)(4.0 x 103) = 12.0 x 109 • Dividing numbers written in Scientific Notation: • Divide the integers. (12.0 x 108)/(2.0 x 103) = 6.0 x 10? • Subtract the exponents. (12.0 x 108)/(2.0 x 103) = 6.0 x 105