Warm Up Write down objective and homework in agenda Lay out homework (Operations wkst) Homework (S.N. Word Problem Worksheet)

Unit 4 Scientific Notation Common Core Standards 8.EE.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 x 3-3= 3-3= 1/33 = 1/27. 8.EE.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. 8.EE.4 Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology. 8.NS.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. MP.1 Make sense of problems and persevere in solving them. MP.2 Reason abstractly and quantitatively. MP.4 Model with mathematics. MP.5 Use appropriate tools strategically. MP.6 Attend to precision.

Warm Up

Video http://www.5min.com/Video/How-to-Apply-Scientific-Notation-to-Real-Life-275613685

Scientific Notation Word Problems Most Scientific Notation word problems are using multiplication and division Key words for division: How many times greater Many times we use the formula d=rt

Example 1 D = rt We know distance and speed 9.3 x 107 = 1.86 x 105 x T 5.0 x 102 = 500 seconds. The Earth is approximately 93,000,000 miles from the sun.  How long does it take light from the sun to reach the earth?  Use the speed of light to be 1.86 x 105 miles per second.

Example 2 The body of a 150 lb person contains 2.3 x 10-4 lb of copper. How much copper is contained in the bodies of 1200 such people? (2.3 x 10-4) x (1200) (2.3 x 10-4) x (1.2 x 103) 2.76 x 10-1 copper

Example 3 The size of the Indian Ocean is 2.7 x 107 square miles. The Arctic Ocean is 1/5 the size of the Indian Ocean. How big is the Arctic Ocean? (2.7 x 107) x (1/5) (2.7 x 107) 5 0.54 x 107 5.4 x 106 square miles

Example 4 The speed of light is approximately 3 x 10 8 m/s. How far does light travel in 6.0 x 101 seconds? D = RT D = (3 x 108) x (6.0 x 101) 18 x 109 1.8 x 1010 meters

You Try! The speed of light is 3 x 10 8 m/s. If the sun is 1.5x 1011 meters from earth, how many seconds does it take light to reach the earth? 1.5 x 1011 = 3 x 108 x Time 1.5 x 1011 3 x 108 0.5 x 103 5 x 102 seconds

You Try! Lake Superior has roughly 25 times the volume of Lake Erie. If the volume of Lake Superior is approximately 1.22 x 104 km3, what is the approximate volume of Lake Erie? 1.22 x 104 25 0.0488 x 104 4.88 x 102 cubic kilmeters

You Try! The bedroom of our house is 1,200 cubic meters. We know that there are 3.4 x 109 particles of dust per cubic meter. Write how many particles of dust are there in the bedroom of our house? (1200) x (3.4 x 109) 4080 x 109 4.08 x 1012 particles

You Try! We have to find out the weight of 6 billion dust particles, if a dust particle has a mass of 7.53 x 10-10 g. (6,000,000,000) x (7.53 x 10-10) (6 x 109) x (7.53 x 10-10) 45.18 x 10-1 4.518 x 100 grams 4.518 grams

The national debt Use scientific notation to solve the problems below. The bulleted facts should serve as resources to help solve the problems. Show all of the steps in your solution process. As of February 2004, the national debt was $7,018,431,543,709. The population of the United States is estimated at 293,193,870. Since September of 2003, the national debt has increased at an average rate of $1.88 billion dollars per day.

National Debt: $7,018,431,543,709. Round the national debt to the nearest trillion using whole numbers. $7,000,000,000,000 Rewrite the rounded national debt using scientific notation. $7 × 1012

Population of America: 293,193,870 Round the population of the United States to the nearest ten million. 290,000,000 Rewrite the rounded population of the United States using scientific notation. 2.9 ×108

National Debt increase: $1.88 billion dollars per day. Rewrite the rate of increase in scientific notation. $1.88 × 109 per day

National Debt If the national debt were to be divided equally amongst the population of the United States, how much would each person owe? (Use your rounded figures.) National debt/population

National Debt increase: $1.88 billion dollars per day. Calculate how much the national debt increases in a second. 1 day = 24 hours 60 minutes =1 hour 60 seconds = 1 minute

National Debt If the national debt increases at a rate of $1.88 billion dollars per day, how much will it increase in one year?

EOG Practice The distance light travels in one year (one light-year) is about 5.88 x 1012 miles. The closest star to Earth (other than the sun) is Alpha Centauri, which is 4.35 light-years from Earth. About how many miles from Earth is Alpha Centauri? Answer: 2.5578 X 1013 mi

Extra Practice http://tulyn.com/wordproblems/scientific_notation.htm http://www.mathworksheetsland.com/8/6scinot/ip.pdf http://glencoe.mcgraw-hill.com/sites/dl/free/0078740479/389492/m2_wordproblempractice.pdf 3-7, http://www.americanbookcompany.com/newsite/samplebooks/SAMPLE%20PAGES%20-%20Passing%20the%20Tennessee%20Algebra%20I%20End-Of-Course%20Assessment/files/assets/downloads/page0011.pdf

Practice Problems http://regentsprep.org/Regents/math/ALGEBRA/AO2/PracScientific.htm