Scientific NotationScientific Notation

Algebra 1 HonorsAlgebra 1 Honors

8.48.4

Day 1Day 1

Warm UpWarm UpRead the handout. Underline any new words.Read the handout. Underline any new words.

1. Write down one fact that you did not know 1. Write down one fact that you did not know before.before.

2. What do you notice about some of the last 2. What do you notice about some of the last numbers in the reading?numbers in the reading?

3. Why do you think articles and newspapers 3. Why do you think articles and newspapers would not want to print numbers with so many would not want to print numbers with so many zeros or long numbers?zeros or long numbers?

HW CheckHW Check

http://www.mathcats.com/http://www.mathcats.com/explore/reallybignumbers.htmlexplore/reallybignumbers.html

* It is estimated that there are 100,000,000,000,000,000 * It is estimated that there are 100,000,000,000,000,000 ants in the world.ants in the world.

* The closest star to Earth (other than our sun) is Proxima * The closest star to Earth (other than our sun) is Proxima Centari at about 23,651,321,012,500 kilometersCentari at about 23,651,321,012,500 kilometers

* There are 170,000,000,000,000,000,000,000,000 different * There are 170,000,000,000,000,000,000,000,000 different ways to play the first 10 moves of a chess game.ways to play the first 10 moves of a chess game.

Some cool stuff…Some cool stuff…1,000,000,000 109 billion

1,000,000,000,000 1012 trillion

1,000,000,000,000,000 1015 quadrillion

1,000,000,000,000,000,000 1018 quintillion

1,000,000,000,000,000,000,000 1021 sextillion

1,000,000,000,000,000,000,000,000 1024 septillion

1,000,000,000,000,000,000,000,000,000 1027 octillion

1,000,000,000,000,000,000,000,000,000,000 1030 nonillion

Notes: Scientific NotationNotes: Scientific Notation

Scientific Notation is the form Scientific Notation is the form

c x 10c x 10nn

Where 1< Where 1< cc < 10, and < 10, and nn is an integer is an integer

NotesNotes

Number Standard Form Scientific Notation

Two million

Five Thousandths

Write numbers in scientific Write numbers in scientific notation:notation:

42, 590,000 =42, 590,000 =

.0000574 = .0000574 =

Write numbers in standard formWrite numbers in standard form

2.0075 x 102.0075 x 1066

1.685 x 101.685 x 10-4-4

Some important tips:Some important tips:CHANGING FROM STANDARD TO SCIENTIFICCHANGING FROM STANDARD TO SCIENTIFIC

If you move the decimal to the left, your power If you move the decimal to the left, your power of ten will be of ten will be

negativenegative

If you move the decimal to the right, your power If you move the decimal to the right, your power of ten will be of ten will be

positivepositive

Some important tips:Some important tips:CHANGING FROM SCIENTIFIC TO STANDARDCHANGING FROM SCIENTIFIC TO STANDARD

If your power of ten is negative, you move the If your power of ten is negative, you move the decimal to thedecimal to the

leftleft

If your power of ten is positive, you move the If your power of ten is positive, you move the decimal to thedecimal to the

rightright

Some important tips:Some important tips:

The number “c” must always be only a The number “c” must always be only a digit in the ones place digit in the ones place

Ex.Ex.

25 x 1025 x 1022 .75 x 10.75 x 1022

Compute with numbers in Compute with numbers in scientific notation:scientific notation:

A. (8.5 x 10A. (8.5 x 1022)(1.7 x 10)(1.7 x 1066))

B. (1.5 x 10B. (1.5 x 10-3-3))22

C. 1.2 x 10C. 1.2 x 1044

1.6 x 10 1.6 x 10-3-3

Homework:Homework:

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

JournalJournal

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

Extra CreditExtra Credit

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