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3-4. Scientific Notation. Course 1. Warm Up. Problem of the Day. Lesson Presentation. 3-4. Scientific Notation. Course 1. Warm Up Multiply. 1. 724  10 2 2. 837  10 3. 632.9  100. 72,400. 8,370. 63,290. 3-4. Scientific Notation. Course 1. Problem of the Day

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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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