Rochester City School District / Overview



Dividing with scientific notationName:__________Date:____________Period:___________Page:___________5410201463040 Problem of the day The table shows the mass in grams of one atom of each of several elements. List the elements in order from the least mass to greatest mass per atom.ElementMass per AtomCarbon1.995 x 10-23 gramsGold3.272 x 10-22 gramsHydrogen1.674 x 10-24 gramsOxygen2.658 x 10-23 gramsSilver1.792 x 10-22 grams00 Problem of the day The table shows the mass in grams of one atom of each of several elements. List the elements in order from the least mass to greatest mass per atom.ElementMass per AtomCarbon1.995 x 10-23 gramsGold3.272 x 10-22 gramsHydrogen1.674 x 10-24 gramsOxygen2.658 x 10-23 gramsSilver1.792 x 10-22 grams Essential Questions?What does it mean? 1.________________________________2.________________________________To divide Both numbers should be in scientific notationDivide CoefficientsDivide powers: keep the base subtract exponentsWrite the answer in standard form or scientific notation form Example 1 Find 7 x 1093 x 108 Example 2 Find 5 x 1053 x 10-2 Write the answer in scientific notation form Now you try 6.63 x 10-65.1 x 10-2. Word Problems Read In 2010, the world population was about 7 x 109. The population of the United States was about 3 x 108. About how many times larger is the world population than the population of the United States?Plan : Write an expression to solve the problem SOLVE: Both numbers should be in scientific notation form Divide the coefficients Divide the powers (keep the base subtract exponents) Write the expression in standard form or scientific notation form Check : (use the calculator to check)Read : The distance from Annabelle’s house to her friend’s house is 2 x 102 km. The distances from Annabelle’s house to her pen pal house is 8 x 103 km. How many times the distance to her best friend house is the distance of the pen pal’s house? Plan SolveCheck:Read The surface area of Lake Superior, the largest of the Great Lakes, is 8 x 104 square kilometers. The surface area of the smallest Great Lake, Ontario, is 18,160 square kilometers. About how many times as great is the area covered by Lake Superior than Lake Ontario?Plan Solve Check: Guided Practices The population of city A is 8 x104 . The population of city B is 4 x 10 6. How many times the population of city A is the population of city B? In 2010, the national debt of the United States was about 14 trillion dollars. In 2003 it was about 7 x 1012 dollars. About how many times larger was the national debt in 2010?4 X 106 is ____________________ times as great as 6 x 103 Dividing with scientific notationName:__________Date:____________Period:___________Page:___________Home WorkRead: A spacecraft leaves Earth’s orbit at a speed of 7 x 105 km per day. To travel from Earth to Saturn, the craft needs to travel a total distance of 1.4 x 109 km. How long it will take the spacecraft to reach Saturn?437388013716000 Consider that: Distance / Speed = timePlan Solve Check (using your scientific calculator)Name: _____________________________Scientific NotationLesson #9Work Period Planets in the Solar SystemMasses of objects in space are so great that astronomers often need to use scientific notation to describe them. The approximate masses of planets in the solar system are given in the table.PlanetApproximate MassMercury3.30 x 1023 kgVenus4.87 x 1024 kgEarth5.97 x 1024 kgMars6.42 x 1023 kgJupiter1.89 x 1027 kgSaturn5.69 x 1026 kgUranus8.68 x 1025 kgNeptune1.02 x 1026 kg About how many times greater is the mass of Jupiter than the mass of Earth? Write your answer in scientific notation.About how many times greater is the mass of Neptune than the mass of Earth? Write your answer in scientific notation.About how many times greater is the mass of Jupiter than the mass of Mercury? Write your answer in scientific notation. Saturn is about 1,724 times greater than which planet?Name the smallest and the largest planet About how many times greater is the mass the largest planet _______________ than the mass of the smallest planet ____________? Write your answer in scientific notation. ................
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