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To show how very large or very small numbers can be expressed in scientific notation

Objectives. To show how very large or very small numbers can be expressed in scientific notation To learn the English, metric, and SI systems of measurement To use the metric system to measure length, volume and mass.

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To show how very large or very small numbers can be expressed in scientific notation

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  1. Objectives • To show how very large or very small numbers can be expressed in scientific notation • To learn the English, metric, and SI systems of measurement • To use the metric system to measure length, volume and mass

  2. “Arithmetic is being able to count up to twenty without taking your shoes off” Mickey Mouse Mickey also says “Do you remember what an exponent is?”

  3. A. Scientific Notation size large size size slider small • Very large or very small numbers can be expressed using scientific notation • The number is written as a number between 1 and 10 multiplied by 10 raised to a power. e.g. 7200 is 7.2 x 103 • The power of 10 depends on: • The number of places the decimal point is moved. • The direction the decimal point is moved. Left  Positive exponent Right Negative exponent

  4. A. Scientific Notation • Representing Large Numbers 93,000,000 miles from the Earth to the Sun (sunlight takes 8 minutes to reach us) 93,000,000 = 9.3 x 10,000,000 = 9.3 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 9.3 x 107 (Decimal point moved 7 digits to the left) Number between 1 and 10 Appropriate power of ten

  5. A. Scientific Notation • Representing Small Numbers • 0.000167 • To obtain a number between 1 and 10 we must move the decimal point to the right. 0.000167 = 1.67 10-4 10-4 = 1/10000 (one ten-thousandth)

  6. Convert the following numbers between normal and scientific notation: 329 700,000 20090 0.000034 0.01023 123.4 45.607 1.7 x 103 2.4503 x 105 7.9 x 1011 2.8 x 10-3 7.45 x 10-1 2.3 x 10-7

  7. Convert the following numbers/sums into correct scientific notation: 35.9 x 103 556.67 x 104 22.7 x 10-3 0.0348 x 10-1 1845 x 105 123.4 x 1023 0.00345 x 107

  8. Scientific Notation Math Multiplication - multiply the numbers, add the indices 1.2 x 104multiplied by 5 x 106 = Division - divide the numbers, subtract the indices 5.5 x 108divided by 1.1 x 102 = (For all operations reconvert answers to full scientific notation)

  9. Scientific Notation Math • Addition or subtraction: Convert to the same base and perform the operation Then reconvert to scientific notation 1.04 x 103plus 6.8 x 102 =

  10. Combined Operations – Give the answer in scientific notation 7.5 x 105 __________ 3 x 103 2 x 106 x 1.5 x 102 ________________________ 5 x 103 6.5 x 105 x 4 x 104 ________________________ 2 x 10-3 7.5 x 10-5 ______________________ 3 x 103 x 5 x 10-6

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