Scientific notation day 1
Download
1 / 44

SCIENTIFIC NOTATION DAY 1 - PowerPoint PPT Presentation


  • 80 Views
  • Uploaded on

SCIENTIFIC NOTATION DAY 1. Learn Vocabulary Terms Identify Vocabulary terms in problems Understand why Scientific Notation is used Identify numbers written in Scientific notation & be able to explain why or why not . SCIENTIFIC NOTATION VOCABULARY.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'SCIENTIFIC NOTATION DAY 1' - emmet


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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
Scientific notation day 1
SCIENTIFIC NOTATION DAY 1

  • Learn Vocabulary Terms

  • Identify Vocabulary terms in problems

  • Understand why Scientific Notation is used

  • Identify numbers written in Scientific notation

    & be able to explain why or why not


Scientific notation vocabulary
SCIENTIFIC NOTATION VOCABULARY

Scientific Notation:A way of expressing very large

or very small numbers more

easily using a power of 10

EX: 35,700 = 3.57 x 104

Standard Form: The “normal” regular way

we write a number

EX: 35,700


Scientific notation vocabulary1
SCIENTIFIC NOTATION VOCABULARY

Finite decimal:every whole number

EX: 5, 78, 90 (any number between 1 & 9)

Leading digit:the leftmost digit : single, NON-ZERO

number to the left of the decimal

EX: 6.5 9.0 2.34

Order ofThe exponent used to

magnitude:show the power (magnitude of 10)

It basically tells us how many times to move

the decimal left or right.

EX: 105 = 1.00000



How do i know if it s scientific notation
HOW DO I KNOW IF IT’S SCIENTIFIC NOTATION?

  • Must be written as a PRODUCT (X’s)

    EX: 3.6 x 103

    2) The LEADING DIGIT must to the left of the decimal and be a WHOLE number between 1 & 9

    EX: 3.6 x 103

    3) There must be a order of magnitude (power of 10)

    EX: 3.6 x 103


Exit ticket
EXIT TICKET

  • IDENTIFY :

    Leading digit

    Order of magnitude

    Product sign

    7.8 x 106


Scientific notation day 2 3
SCIENTIFIC NOTATION DAY 2 & 3

  • Identifying large vs. small numbers by the placement of the zeros.

  • Using zero placement to tell us which direction the decimal is moved from the leading digit

  • Identify if the power of 10 is positive or negative

    by the zeros

  • Know why we use it


Do now
DO NOW

WHICH NUMBER IS THE SMALLER NUMBER &

WHICH NUMBER IS THE LARGER NUMBER?

0.000000089 OR 8,000,000

BE PREPARED TO EXPLAIN/SHARE YOUR CHOICES.


Scientific notation basics
SCIENTIFIC NOTATION BASICS

  • Scientific Notation is a way of expressing very large or very small numbers in an easier way.

    Large numbers often have MANY zeros at the end.

    EX: 450,000,000

    Small numbers have the zeros at the beginning.

    EX: 0.000000032


Very small or very large
VERY SMALL OR VERY LARGE

  • Identify each number as very small or very large:

    1) 0.000015 SMALL LARGE

    2) 6,000,000 SMALLLARGE

    3) 0.00000901 SMALL LARGE


Use think about what you already know
USE/THINK ABOUT WHAT YOU ALREADY KNOW…

  • What do you already know about the placement of these zeros?

  • What does the direction (left; before OR

    right; after) they tell us about the numbers?

  • HINT:Think about the number line or the

    decimal place value chart


We know
WE KNOW……

*ALL of these will help you understand

SCIENTIFIC NOTATION!!!


Do now1
DO NOW

  • Please write HW in your planners

  • With the people at your tables, complete

    the review sheet on your desks.


Review
REVIEW

Vocabulary:Match the term with its definition.

____large numbersA) have zeros at the beginning

____ leading digit B) exponent that shows power of 10

____ order of C) have zeros at the end

magnitude

____ small number D) leftmost digit : single, NON-ZERO

number to the left of the decimal


Use the expression below to answer the questions:

7.98 x 10 6

The 7 is called the _________________

10 6 is the ______________

The “x” is the _____________

WORD BANK

PRODUCT ORDER OF MAGNITUDE leading digit


IDENTIFY which is NOT written in scientific notation and give a reason why

06.9 x 103 9.7 x 52

7.89 x 104


Identify each number as very small or very large:

1) 0.000025 SMALL LARGE

2) 9,000,000 SMALLLARGE

3) 0.00000745 SMALL LARGE


Writing numbers in scientific notation
Writing numbers in Scientific Notation

  • Identifying large vs. small numbers by the placement of the zeros.

  • Using zero placement to tell us which direction the decimal is moved from the leading digit

  • Identify if the power of 10 is positive or negative

    by the zeros


How to do it writing large numbers in scientific notation
How to Do it:Writing large numbers in Scientific Notation

  • To figure out the power of 10, think "how many places do I move the decimal point?“

  • If the number is 10 or greater, the decimal point has to move to the left, and the power of 10 will be positive; large number


Video
VIDEO

http://learnzillion.com/lessons/1177-write-large-numbers-in-scientific-notation


Example write 4 250 000 000 in scientific notation
EXAMPLE: Write 4,250,000,000 in scientific notation

4.250000000.

Move the decimal so that only 1 digit is to the left of the decimal

Count the number of spaces that

the decimal has to be moved to the

RIGHT.

Write the number WITHOUT ending

the zeros, & multiply by the correct

power of 10

4.250000000.

9 places

4.25 x 109


Let s practice
Let’s PRACTICE

Write each number in scientific notation:

  • 68,000

  • 73,280,000


How to do it writing small numbers in scientific notation
How to Do it:Writing Small numbers in Scientific Notation

  • To figure out the power of 10, think "how many places do I move the decimal point?“

  •  If the number is smaller than 1, the decimal point has to move to the right, so the power of 10 will be negative; small number


Video1
VIDEO

http://learnzillion.com/lessons/1255-write-small-numbers-in-scientific-notation


Example write 0 0000000425 in scientific notation
EXAMPLE: Write 0.0000000425 in scientific notation

0.00000004.25

Move the decimal so that only 1

NON ZERO digit is to the left of the decimal

Count the number of spaces that

the decimal has to be moved to the

LEFT.

Write the number WITHOUT beginning

the zeros, & multiply by the correct

power of 10 AND use a NEGATIVE

exponent to move the decimal to the left.

0.00000004.25

8 places

4.25 x 10-8


Let s practice1
Let’s PRACTICE

Write each number in scientific notation:

  • 0.0038

  • 0.0000004


Check
Check!

After putting the number in Scientific Notation,

just check that:

  • The "digits" part is between 1 and 10 (it can be 1, but never 10)

  • The "power" part shows exactly how many places to move the decimal point


Exit ticket1
EXIT TICKET

Write the following in scientific notation:

  • 53,000 _______________

  • 0.0082 _______________


Name:_______________________ Date:_____________________

CLASSWORK M1L9 BASIC SCIENTIFIC NOTATION

NEGATIVE POSITIVE

Write each number in scientific notation:

LEFT RIGHT


Scientific notation day 4 5
SCIENTIFIC NOTATION DAY 4 & 5 Date:_____________________

  • Use knowledge of decimal movement & scientific notation to convert

  • Convert FROMscientific notation TO

    standard form with positive & negative

    exponents

:


How to use the calculator
HOW TO USE THE CALCULATOR Date:_____________________

  • On

  • Clear

  • Enter the standard form number

  • Press blue “2nd “ key

  • Press “DRG” ( SCI/ENG)

    6) Using the right/left arrow keys choose:

    “FLO” for standard form

    “ SCI” for scientific notation

    *if you want to go back to choose another form repeat steps 5 and 6 and then press enter twice


http://www.youtube.com/watch?v=BW55IniDb2g&list=PL698BE8091CA9C622http://www.youtube.com/watch?v=BW55IniDb2g&list=PL698BE8091CA9C622


Scientific notation vocabulary2
SCIENTIFIC NOTATION VOCABULARYhttp://www.youtube.com/watch?v=BW55IniDb2g&list=PL698BE8091CA9C622

Scientific Notation:A way of expressing very large

or very small numbers more

easily using a power of 10

EX: 35,700 = 3.57 x 104

Standard Form: The “normal” regular way

we write a number

EX: 35,700


Converting from scientific notation to standard form
CONVERTING FROM SCIENTIFIC NOTATION TO STANDARD FORMhttp://www.youtube.com/watch?v=BW55IniDb2g&list=PL698BE8091CA9C622

It’s EASY!!!!

ALL you do is work BACKWARDS…


Smartexchange
SMARTEXCHANGEhttp://www.youtube.com/watch?v=BW55IniDb2g&list=PL698BE8091CA9C622


Example with a positive exponent write 7 035 x 10 6 in standard form
EXAMPLEhttp://www.youtube.com/watch?v=BW55IniDb2g&list=PL698BE8091CA9C622: WITH A POSITIVE EXPONENT Write7.035 X 106 in STANDARD FORM

The exponent is a 6 and it is positive

Study the exponent

Move the decimal point the Correct number of places to the right

Add any necessary zeros at the END of the number as place holders

Write the number in standard form

Move the decimal 6

places to the RIGHT

7.035000.

6 places

7,035,000


http://www.youtube.com/watch?v=8bUvkPYXjcohttp://www.youtube.com/watch?v=BW55IniDb2g&list=PL698BE8091CA9C622


Lets practice
LETS PRACTICEhttp://www.youtube.com/watch?v=BW55IniDb2g&list=PL698BE8091CA9C622


Example with a negative exponent write 4 16 x 10 5 in standard form
EXAMPLEhttp://www.youtube.com/watch?v=BW55IniDb2g&list=PL698BE8091CA9C622: WITH A NEGATIVE EXPONENTWrite 4.16 x 10-5 In STANDARD FORM

The exponent is a -5 and it is negative

Study the exponent

Move the decimal point the correct number of places to the left

Add any necessary zeros at the BEGINNING to fill up to the decimal point

Write the number in standard form

Move the decimal 5

places to the LEFT

0.00004.16.

5 places

0.0000416


http://www.youtube.com/watch?v=8bUvkPYXjcohttp://www.youtube.com/watch?v=BW55IniDb2g&list=PL698BE8091CA9C622


Lets practice1
LETS PRACTICEhttp://www.youtube.com/watch?v=BW55IniDb2g&list=PL698BE8091CA9C622


Exit ticket2
EXIT TICKEThttp://www.youtube.com/watch?v=BW55IniDb2g&list=PL698BE8091CA9C622

Suppose the table below displays data for the

Top prime-time television shows for a given week

the year. Complete the empty columns in table by

converting the number of households into either

scientific notation OR standard form.


Homework
HOMEWORK http://www.youtube.com/watch?v=BW55IniDb2g&list=PL698BE8091CA9C622

  • SCIENTIFIC NOTATION PUZZLE


http://www.youtube.com/watch?v=QarMTT5YweQ&list=PL698BE8091CA9C622http://www.youtube.com/watch?v=QarMTT5YweQ&list=PL698BE8091CA9C622


ad