1 / 12

Understanding and Practicing Scientific Notation: A Beginner's Guide

In this lesson, we will explore scientific notation, a method for writing large numbers more succinctly. You will learn how to express numbers greater than or equal to one, such as the speed of light (5.89248 × 10^10 feet/minute), in scientific notation. Through examples and practice problems, we will identify patterns in multiplying by powers of ten and understand the rule for moving the decimal point. Additionally, we will clarify common mistakes, such as those made in converting numbers to scientific notation, ensuring a solid grasp of the concept.

tehya
Télécharger la présentation

Understanding and Practicing Scientific Notation: A Beginner's Guide

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related