Scientific Notation Algebra 1 Honors 8.4 Day 1

Warm Up Read the handout. Underline any new words. 1. Write down one fact that you did not know before. 2. What do you notice about some of the last numbers in the reading? 3. Why do you think articles and newspapers would not want to print numbers with so many zeros or long numbers?

HW Check

e/reallybignumbers.html * It is estimated that there are 100,000,000,000,000,000 ants in the world. * The closest star to Earth (other than our sun) is Proxima Centari at about 23,651,321,012,500 kilometers * There are 170,000,000,000,000,000,000,000,000 different ways to play the first 10 moves of a chess game.

Some cool stuff… 1,000,000, billion 1,000,000,000, trillion 1,000,000,000,000, quadrillion 1,000,000,000,000,000, quintillion 1,000,000,000,000,000,000, sextillion 1,000,000,000,000,000,000,000, septillion 1,000,000,000,000,000,000,000,000, octillion 1,000,000,000,000,000,000,000,000,000, nonillion

Notes: Scientific Notation Scientific Notation is the form c x 10 n Where 1< c < 10, and n is an integer

Notes NumberStandard FormScientific Notation Two million Five Thousandths

Write numbers in scientific notation: 42, 590,000 = =

Write numbers in standard form x x 10 -4

Some important tips: CHANGING FROM STANDARD TO SCIENTIFIC If you move the decimal to the left, your power of ten will be negative If you move the decimal to the right, your power of ten will be positive positive

Some important tips: CHANGING FROM SCIENTIFIC TO STANDARD If your power of ten is negative, you move the decimal to the left If your power of ten is positive, you move the decimal to the right right

Some important tips: The number “c” must always be only a digit in the ones place Ex. 25 x x 10 2

Compute with numbers in scientific notation: A. (8.5 x 10 2 )(1.7 x 10 6 ) B. (1.5 x ) 2 C. 1.2 x x 10 -3

Homework: Pg. 515/ 6-9, 19-22, 39, 42, 45

Journal Write a few sentences to explain why we use scientific notation. Give an example of when it might be appropriate.

Extra Credit Find five facts about really large numbers that you will think will impress your teacher.