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Warm Up

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

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Warm Up

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  1. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

  2. Warm Up Multiply. 1.724  102 2. 837  10 3. 632.9  100 72,400 8,370 63,290

  3. 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 the water rises the height of 2 steps every 2 hours, 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. Learn to write large numbers in scientific notation.

  5. Vocabulary scientific notation

  6. = 5,892,000 There are 3 zeros in 1,000. Write 3 placeholder zeros. 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. = 477,500 There are 4 zeros in 10,000. Write 4 placeholder zeros. 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. = 901,000 There are 3 zeros in 1,000. Write 3 placeholder zeros. Check It Out: Example 1A Find each product. 901  1,000 901.000 To multiply, move the decimal 3 places right.

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

  10. A number written in scientific notation has two numbers that are multiplied. 4.123105 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. Scientific notation is a shorthand method that can be used to write large numbers.

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

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

  13. 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. 6.2174  103 = 6,217.4 The power of 10 is 3. Move the decimal point 3 places right. Additional Example 3: Writing Numbers in Standard From Write 6.2174  103 in standard form. 6.2174  103 6.2174

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

  16. 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. 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. 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. Check It Out: Example 4 Write the distance 132,500 in scientific notation. 132,500 132,500 The distance is 1.325  105.

  18. Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

  19. 6.3  103 7.04  107 3.295  106 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

  20. Lesson Quiz for Student Response Systems 1. Which of the following represents 9,400 in scientific notation? A. 9.4  102 B. 9.4  103 C. 94  102 D. 94  103

  21. Lesson Quiz for Student Response Systems 2. Which of the following represents 5,328,000 in scientific notation? A. 5328  103 B. 532.8  103 C. 53.28  105 D. 5.328  106

  22. Lesson Quiz for Student Response Systems 3. Which of the following represents 1.1132  105 in scientific notation? A. 11,132,000 B. 1,113,200 C. 111,320 D.11,132

  23. Lesson Quiz for Student Response Systems 4. Which of the following represents 7.9132  106 in scientific notation? A. 79,132 B. 791,320 C. 7,913,200 D.79,132,000

  24. Lesson Quiz for Student Response Systems 5. Jupiter is at a distance of 778,600,000 km from the sun. Identify this number in scientific notation. A. 7.786  108 B. 7.786  107 C. 7.786  106 D. 7.786  105

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