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# SCIENTIFIC NOTATION DAY 1 - PowerPoint PPT Presentation

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.

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Presentation Transcript

• 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: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

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

• 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

• IDENTIFY :

Order of magnitude

Product sign

7.8 x 106

• 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

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 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

• Identify each number as very small or very large:

1) 0.000015 SMALL LARGE

2) 6,000,000 SMALLLARGE

3) 0.00000901 SMALL LARGE

• 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

SCIENTIFIC NOTATION!!!

• With the people at your tables, complete

the review sheet on your desks.

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

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

• 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

• 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

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

Write each number in scientific notation:

• 68,000

• 73,280,000

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

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

Write each number in scientific notation:

• 0.0038

• 0.0000004

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

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 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 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

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

It’s EASY!!!!

ALL you do is work BACKWARDS…

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

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

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.