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Scientific Organization of Measurements

Scientific Organization of Measurements. Significant Digits and Scientific Notation. Scientific Notation. A method of representing very large or very small numbers M x 10 n M is a number between 1 and 10 n is an integer all digits in M are significant. Scientific Notation.

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Scientific Organization of Measurements

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  1. Scientific Organization of Measurements Significant Digits and Scientific Notation

  2. Scientific Notation • A method of representing very large or very small numbers M x 10n • M is a number between 1 and 10 • n is an integer • all digits in M are significant

  3. Scientific Notation • Express these numbers in decimal notation. 1. 8.32 x 10-2 _____________ 2. 5.4 x 104 ______________ 3. 9.67 x 103 _____________ 4. 1.457 x 102_____________ 5. 3.00 x 10-1 _____________ 6. 2.22 x 10-6 _____________

  4. Scientific Notation • Reducing to Scientific Notation 1. Move decimal so that M is between 1 and 10 2. Determine n by counting the number of places the decimal point was moved a. Moved to the left, n is positive b. Moved to the right, n is negative

  5. Scientific Notation • 47,000 _____________________ • 0.00047 ____________________ • 0.4100 _____________________ • 421 _______________________ • 5630 ___________________________ • 0.0297 __________________________ • 0.00082 _________________________ • 0.074 __________________________

  6. Mathematical Operations Using Scientific Notation • 1. Addition and subtraction • Operations can only be performed if the exponent on each number is the same • 2. Multiplication • M factors are multiplied • Exponents are added • 3. Division • M factors are divided • Exponents are subtracted (numerator - denominator)

  7. Solve the following 1. (2.8 x 10 5) +(7.53 x 10 5) ________________________ 2. (3.1 x 10 -2) (4.380 x 10 3) ________________________ 3. (4.20 x 10 2) (0.040 x 10 -1) ________________________ 4. 3.0 x 10 3 ÷ 1.2 x 10 4 ________________________ 5. 4.95 x 10 6 ÷ 2.33 x 10 -2 ________________________

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