Scientific Notation We are learning to…write number greater than or equal to one in scientific notation. Tuesday, November 24, 2015

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

Find the following solutions… As you’re working can you find a pattern? 4.5 × 10 0 = 4.5 × 10 1 = 4.5 × 10 2 = 4.5 × 10 3 = 4.5 × 10 4 = 4.5 × 10 5 = 4.5 × 1 = 4.5 × 10 = 4.5 × 100 = 4.5 × 1,000 = 4.5 × 10,000 = 4.5 × 100,000 = ,500 45, ,000 Do you see any trends in how these products are increasing?

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: × 10 7 means × 10,000,000 OR just think: Move the decimal 7 places to the right! = 76,390,000 ( Remember that: = …).

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: …

Practice multiplying by a Power of 10: × 10 3 = ________________ × 10 5 = ________________ × 10 8 = ________________ 4. 8 × 10 2 = ________________ × 10 3 = ________________ × 10 9 = ________________ 3,230 43,600, ,500, ,400,000

What is the product of: × 10 6 A. 4,065 B C. 4,065,000 D

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 ?

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 × × × 10 4

Bonnie tried to write 4,000,000 using Scientific Notation but she wrote: 40 × 10 5 Unfortunately this is incorrect. Which of the following best describes Bonnie’s mistake? A. 40 × 10 5 does not equal 4,000,000. B. The first number in the product must be less than 10 but greater than or equal to 1. C. She should have written: 0.4 × D. Bonnie did not use a power of 10 as the second number in her product

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

What is the number 3,200,000,000 in scientific notation? A. 32 × 10 8 B. 3.2 × 10 6 C. 3.2 × 10 9 D. 32 ×