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Learning Scientific Notation Course

Dive into the world of scientific notation with this interactive course. Learn to convert large numbers, write in standard form, and multiply by powers of ten. Get ready for quizzes and problems to enhance your skills!

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Learning Scientific Notation Course

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  1. 3-4 Scientific Notation Course 1 Warm Up Problem of the Day Lesson Presentation

  2. 3-4 Scientific Notation Course 1 Warm Up Multiply. 1.724  102 2. 837  10 3. 632.9  100 72,400 8,370 63,290

  3. 3-4 Scientific Notation Course 1 Problem of the Day A rope ladder is hanging from the back of a yacht. At 10:00 A.M., the water reaches the third step on the ladder. If every 2 hours the water rises the height of two steps, at what step would the water level be at 5:00 P.M.? Explain. the third, because the boat will rise with the water

  4. 3-4 Scientific Notation Course 1 Learn to write large numbers in scientific notation.

  5. 3-4 Scientific Notation Course 1 Insert Lesson Title Here Vocabulary scientific notation

  6. 3-4 Scientific Notation = 5,892,000 There are 3 zeros in 1,000. Write 3 placeholder zeros. Course 1 Additional Example 1A: Multiplying by Powers of Ten Find each product. 5,892  1,000 5,892.000 To multiply, move the decimal 3 places right.

  7. 3-4 Scientific Notation = 477,500 There are 4 zeros in 10,000. Write 4 placeholder zeros. Course 1 Additional Example 1B: Multiplying by Powers of Ten Find each product. 47.75  10,000 47.7500 To multiply, move the decimal 4 places right.

  8. 3-4 Scientific Notation = 901,000 There are 3 zeros in 1,000. Write 3 placeholder zeros. Course 1 Check It Out: Example 1A Find each product. 901  1,000 901.000 To multiply, move the decimal 3 places right.

  9. 3-4 Scientific Notation = 154,250 There are 4 zeros in 10,000. Write 4 placeholder zeros. Course 1 Check It Out: Example 1B Find each product. 15.425  10,000 15.4250 To multiply, move the decimal 4 places right.

  10. 3-4 Scientific Notation A number written in scientific notation has two numbers that are multiplied. 3.456106 The first part is a number that is greater than or equal to 1 and less than 10. The second part is a power of 10. Course 1 Scientific notation is a shorthand method for writing large numbers.

  11. 3-4 Scientific Notation 6,000,000 = 6  106 Move the decimal point 6 places left. The power of 10 is 6. Course 1 Additional Example 2: Writing Numbers in Standard Notation Write 6,000,000 in scientific notation. 6,000,000 6,000,000

  12. 3-4 Scientific Notation 4,325,000 = 4.325  106 Move the decimal point 6 places left. The power of 10 is 6. Course 1 Check It Out: Example 2 Write 4,325,000 in scientific notation. 4,325,000

  13. 3-4 Scientific Notation Course 1 You can write a large number written in scientific notation in standard form. Look at the power of 10 and move the decimal point that number of places to the right.

  14. 3-4 Scientific Notation 6.2174  103 = 6,217.4 The power of 10 is 3. Move the decimal point 3 places right. Course 1 Additional Example 3: Writing Numbers in Standard From Write 6.2174  103 in standard form. 6.2174  103 6.2174

  15. 3-4 Scientific Notation 3.21975  103 = 3,219.75 The power of 10 is 3. Move the decimal point 3 places right. Course 1 Check It Out: Example 3 Write 3.21975  103 in standard form. 3.21975  103 3.21975

  16. 3-4 Scientific Notation 9.3  107 Move the decimal point left to form a number that is greater than or equal to 1 and less than 10. Multiply that number by a power of ten. The power of 10 is 7, because the decimal point is moved 7 places left. Course 1 Additional Example 4 Write the distance to the sun, 93,000,000 miles, in scientific notation. 93,000,000 93,000,000 The distance to the sun is 9.3  107.

  17. 3-4 Scientific Notation 1.325  105 Move the decimal point left to form a number that is greater than or equal to 1 and less than 10. Multiply that number by a power of ten. The power of 10 is 5, because the decimal point is moved 5 places left. Course 1 Check It Out: Example 4 Write the distance 132,500 in scientific notation. 132,500 132,500 The distance is 1.325  105.

  18. 3-4 Scientific Notation 6.3  103 7.04  107 3.295  106 Course 1 Insert Lesson Title Here Lesson Quiz Write each number in scientific notation. 1. 6,300 2. 70,400,000 Write each number in standard form. 3. 7.241  104 4. 8.2137  107 5. A Wall Street report indicated that a fast-moving stock had sold 3,295,000 shares. Write this number in scientific notation. 72,410 82,137,000

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