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Scientific Notation

Scientific Notation. We are learning to…write number greater than or equal to one in scientific notation. Saturday, June 7, 2014. Where will I ever see Scientific Notation?. In your science textbook you read the following: “The speed of light is 5.89248 × 10 10 feet per minute.”

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Scientific Notation

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  1. Scientific Notation We are learning to…write number greater than or equal to one in scientific notation. Saturday, June 7, 2014

  2. Where will I ever see Scientific Notation? • In your science textbook you read the following: “The speed of light is 5.89248 × 1010 feet per minute.” What does this mean? Is that really fast or really slow?

  3. 4.5 × 100 = 4.5 × 101 = 4.5 × 102 = 4.5 × 103 = 4.5 × 104 = 4.5 × 105 = 4.5 × 1 = 4.5 × 10 = 4.5 × 100 = 4.5 × 1,000 = 4.5 × 10,000 = 4.5 × 100,000 = Find the following solutions…As you’re working can you find a pattern? 4.5 45 450 4,500 45,000 450,000 Do you see any trends in how these products are increasing?

  4. Can you make rule describing how to multiply by a power of 10? • The exponent tells us how many places to move the decimal point (to the right). • For example: 7.639 × 107 means 7.639 × 10,000,000 OR just think: Move the decimal 7 places to the right! 76390000000 = 76,390,000 (Remember that: 7.639 = 7.63900000000000…) .

  5. Where do you find a decimal point for a whole number? • To the right of the one’s digit. • (All the way at the end of the number) • So 38 is really: 38.0000000000000000000…

  6. Practice multiplying by a Power of 10: 3,230 • 1. 3.23 × 103 = ________________ • 2. 436 × 105 = ________________ • 3. 4.565 × 108 = ________________ • 4. 8 × 102 = ________________ • 5. 0.393 × 103 = ________________ • 6. 0.0034 × 109 = ________________ 43,600,000 456,500,000 800 393 3,400,000

  7. What is the product of:4.065 × 106 • 4,065 • 0.000004065 • 4,065,000 • 4.065000

  8. What is scientific notation? • Method for writing really big numbers so that they are easier to read. • Often used in science books and other scientific journals. • The product of two numbers: • A number greater than or equal to 1 but less than 10. • A power of 10. • (1 – 10) × 10?

  9. Think of Scientific Notation as if… • You are given the solution and you have to think of the multiplication problem using a power of 10 that would give you that particular product. • Practice: • 290 = ___________ • 3,482 = __________ • 59,777 = __________ 2.9 × 102 3.482 × 103 5.9777 × 104

  10. Bonnie tried to write 4,000,000 using Scientific Notation but she wrote: 40 × 105Unfortunately this is incorrect. Which of the following best describes Bonnie’s mistake? • 40 × 105 does not equal 4,000,000. • The first number in the product must be less than 10 but greater than or equal to 1. • She should have written: 0.4 × 107. • Bonnie did not use a power of 10 as the second number in her product.

  11. In your science textbook you read the following: “The speed of light is 5.89248 × 1010 feet per minute.”What is the speed of light in standard form? • 58,924,800,000 feet per minute • 5.89248 feet per minute • 589,248 feet per minute • 58,924,800,000,000 feet per minute

  12. What is the number 3,200,000,000 in scientific notation? • 32 × 108 • 3.2 × 106 • 3.2 × 109 • 32 × 109

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