Lesson 2.2 Adding and Subtracting in Scientific Notation: GROUP WORK

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1 me: Date: Lesson 2.2 Adding and Subtracting in Scientific Notation: GROUP WORK Solve. Show your work. Round the coefficient to the nearest tenth ? ? ? ? ? ? ? ? 10 6 Use the table to answer questions 5 to 7. Round the coefficient to the nearest tenth. The table shows the mass, in grams, of a grain of a substance. Substances Mass (g) A grain of salt 5.85? A grain of sand 6? A grain of rice 2? A grain of sugar 6.5? Find the total mass in each combination. a) a grain of salt and a grain of sand b) a grain of rice and a grain of sugar 6. What is the difference in mass between a grain of salt and a grain of sand? 7. How much heavier/lighter is a grain of rice as compared to a grain of salt?

2 8. The driving distance between Phoenix and Los Angeles is 599 kilometers. The driving distance between Phoenix and Chicago is approximately 2.3? 10 3 kilometers. a) Which city is nearer to Phoenix, Los Angeles or Chicago? b) I f Bradley traveled from Phoenix to Los Angeles and Andy traveled from Phoenix to Chicago, what is the difference in the distance traveled?write your answer in scientific notation and round the coefficient to the nearest tenth. 9. The diagram show a small ant and a large ant m m The length of a small ant is 2? meter and the length of a large ant is 2.5? meter. a) Find the difference in length of the two ants. Write your answer in scientific notation. b) I f there is a trail of 2 small ants and 1 large ant in a straight line, find the total length of the trail.

3 Use the table to answer questions 10 to 13. The table shows the number of public drinking water systems and the population served in three different cities in a particular year. City Number of Drinking Population Served Water Systems A 52, ,200,000 B 19, ? 10 6 C 87,672 13,100, Arrange the population served in each of the three cities in descending order. 11. Write the number of drinking water systems in each city in scientific notation by rounding the coefficient to the nearest tenth. 12. What is the difference in the population served in city A and city C? Write your answer in scientific notation. 13. Find the total population served in the three cities. Leave your answer in scientific notation and round the coefficient to the nearest tenth.

4 Lesson 2.2 Adding and Subtracting Scientific Notation Answer key ? ? ? ? ( )? ? ? 10 1? ? ? ? ? ? ( )? ? ? ? ? ? ( )? ? ? ? ? ? ? ( )? ? ? 10 1? ? ? ? a) Total mass of a grain of salt and a grain of sand 5 Mass of a grain of salt 1 Mass of a grain of sand ? ? ? ? ( )? ? ? g The total mass of a grain of salt and a grain of sand is approximately 6.6? gram. b) Total mass of a grain of rice and a grain of sugar 5 Mass of a grain of rice 1 Mass of a grain of sugar 5 2? ? ( )? ? g The total mass of a grain of rice and a grain of sugar is approximately 8.5? gram. 6. Difference in mass between a grain of salt and a grain of sand 5 Mass of a grain of sand 2 Mass of a grain of salt 65? ? ? ? ( )? ? ? g A grain of salt is approximately 5.4? gram lighter than a grain of sand. 7. Difference in mass between a grain of salt and a grain of rice 5 Mass of a grain of rice 2 Mass of a grain of salt 5 2? ? ? ? ( )? ? ? g A grain of rice is approximately 2.0? gram heavier as compared to a grain of salt. 8. a) Driving distance between Phoenix and Los Angeles: 599 km ? 10 2 km Approximate driving distance between Phoenix and Chicago: 2.3? 10 3 km So, Los Angeles is nearer to Phoenix. b) Approximate difference in distance traveled 5 Approximate driving distance between Phoenix and Chicago 2 Driving distance between Phoenix and Los Angeles 5 2.3? ? ? ? ( )? ? ? 10 1? ? ? ? 10 3 km So, Andy traveled approximately 1.7? 10 3 kilometers farther than Bradley. 9. a) Difference in length of the two ants 5 Length of the large ant 2 Length of the small ant 5 2.5? ? ? ? ( )? ? m The large ant is 2.3? 10-2 meters longer than a small ant. b) Total length of the trail formed 5 Total length of the 2 small ants 1 Length of the large ant 5 2? 2? ? ? ? ? ? ( )? ? m The total length of the trail formed is 2.9? 10-2 meters.

5 City A B C Refer to the table below for answers 10 to 13. Number of Drinking Water Systems (in Scientific Notation) Population Served (in Scientific Notation) 52, ? ? ,200, ? , ? ? ? , ? ? ,100, ? So, city A served the greatest population of 300,200,000, followed by city C with the population of 13,100,000, and city B with the population of 6.4? City A: Approximately 5.3? 10 4 ; City B: Approximately 1.9? 10 4 ; City C: Approximately 8.8? Difference in the population served in city A and city C 5 Population served in city A 2 Population served in city C 5 300,200, ,100, ? ? ? ? ( )? ? ? 10 1? ? ? 10 8 So, the population served in city A is 2.871? 10 8 more than the population served in city C. 13. Total population served in the three cities 5 Population served in city A 1 Population served in city B 1 Population served in city C 5 300,200, ? ,100, ? ? ? ? ? ? ( )? ? ? 10 2? ? ? ? 10 8 So, the total population served in the three cities is approximately 3.2? 10 8.

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