scientifsdbahdkhbdhbidgiusghhyaagsyic notation.ppt
- 1. Section 5.1 Scientific Notation and Units 1. To show how very large or very small numbers can be expressed in scientific notation 2. To learn the English, metric, and SI systems of measurement 3. To use the metric system to measure length, volume and mass Objectives
- 2. Section 5.1 Scientific Notation and Units “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. Section 5.1 Scientific Notation and Units A. Scientific Notation • 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 size slider small size large size
- 4. Section 5.1 Scientific Notation and Units 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. Section 5.1 Scientific Notation and Units 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. Section 5.1 Scientific Notation and Units 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. Section 5.1 Scientific Notation and Units 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. Section 5.1 Scientific Notation and Units Scientific Notation Math Multiplication - multiply the numbers, add the indices 1.2 x 104 multiplied by 5 x 106 = Division - divide the numbers, subtract the indices 5.5 x 108 divided by 1.1 x 102 = (For all operations reconvert answers to full scientific notation)
- 9. Section 5.1 Scientific Notation and Units Scientific Notation Math • Addition or subtraction: Convert to the same base and perform the operation Then reconvert to scientific notation 1.04 x 103 plus 6.8 x 102 =
- 10. Section 5.1 Scientific Notation and Units 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