scientific notation - polk county school district notation.pdfscientific notation is used to write...

Scientific Notation1.notebook

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September 01, 2014

Scientific Notation

Lesson objectives Teachers' notes

1) Students will write numbers in scientific notation.

2) Students will write numbers in standard form.


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September 01, 2014

Teachers' notesLesson objectives

Standards: • MCC8.EE.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example,

estimate the population of the United States as 3 × 108 and the population of the world as 7 × 109, and determine that the world population is more than 20 times

larger.

• MCC8.EE.4 Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.


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September 01, 2014

How far do you think the planet Pluto is from the sun?

Make a guess and write it down on a piece of paper.

Pull

Pull Earth is about

93,000,000 miles from the Sun

Hint


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September 01, 2014

Pluto is about 39 times as far from the Sun as Earth is.

Write this number down 15 times on your paper.

Just Kidding!

Touchto

revealPull

Pull

Answ

er Pluto is about 3,647,000,000 miles from the Sun

Click to reveal

Want to change your guess???


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September 01, 2014

Scientists study these big numbers all the time.

They don't like writing big numbers either!

So, they use ...

Pull

Pull Imagine how easy

it would be to make a mistake

Scientific NotationClick to reveal

The 8 million dollar mistake


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September 01, 2014

Scientific Notation a shorter way to write a big number

(Write this down!!!)

a x 10n

a is a numberbetween 1 and 10

n tells how manyplaces you moved the decimal


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September 01, 2014

3,647,000,000 right now, the decimal is here

(write everything on this page down)

Move the decimal to form a number between 1 and 10

3,647,000,000

*move 9 places to the left

*forms the number 3.647 which is between 1 and 10

3.647 x 109

Write each number using scientific notation.

Click to reveal


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September 01, 2014

Write using scientific notation.

5.6 x 1013

56,000,000,000,000

Click to reveal answer


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September 01, 2014

Write using scientific notation.

2.305 x 1012

2,305,000,000,000

Click to reveal answer


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September 01, 2014

Scientists also use scientific notation for really, really, small numbers.

*Still need to move the decimal to form a number between 1 and 10

Write in scientific notation.

.00000173

6 places to the right

1.73 x 10 6

*Exponent is negative when decimal moves to the right, or original number is smaller

(Write the rest of this page down)

.00000173

Click to reveal


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September 01, 2014

Write in scientific notation.

5.02 x 10 7

.000000502

Click to reveal


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September 01, 2014

Can you work backwards???

Write in standard form.

3.78 x 106 positive exponent will make number get bigger

3.78move decimal right 6 places00 00slide

3,780,000Click to reveal


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September 01, 2014

Write in standard form.

1.0654 x 10 7

1.0654000000

number will get smaller since exponent is negative

move 7 places to the leftSlide

.00000010654Click to reveal


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September 01, 2014

Sort the given values. Written in proper scientific notation

Not written in proper scientific notation


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September 01, 2014

Scientific notation is used to write really big numbers.

123,000,000,000

45,000,000

67,800,000,000,000

9,000

Move the star to count the number of decimal places.

The amount of moves will give you the exponent value.

decimal notation scientific notation


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September 01, 2014

Scientific notation is used to write really big numbers.

7.82 x 10

3.04 x 10

5 x 10

6.2103 x 10

The exponent tells you how many decimal places you need to move.

decimal notationscientific notation

3

8

4

10


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September 01, 2014

An example of a really big number. Please write it in scientific notation.

As the planets orbit the sun, the closest Pluto gets to Earth is approximately 2,700,000,000 miles.


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September 01, 2014

An example of a really big number. Please write it in scientific notation.

The speed of light in a vacuum is approximately 186,000 miles per second.


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September 01, 2014

Scientific notation is used to write really small numbers.

0.000000034

0.0000000005609

0.000000000064

0.007Move the star to count the number of decimal places.

The amount of moves will give you the exponent value.

decimal notation scientific notation


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September 01, 2014

Scientific notation is used to write really small numbers.

4.8 x 10

1.2 x 10

9 x 10

7.1034 x 10

The exponent tells you how many decimal places you need to move.

decimal notationscientific notation

6

12

2

5


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September 01, 2014

An example of a really small number. Please write it in scientific notation.

Human fingernails grow at a rate of about 0.00286 inches per day.


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September 01, 2014

An example of a really small number. Please write it in scientific notation.

The thickness of a red blood cell is approximately 0.0003125 of an inch.


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September 01, 2014

How do you know that a number written in scientific notation will be really big or really small ?


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September 01, 2014

When do you write a negative exponent when converting to scientific notation?

When do you write a positive exponent when converting to scientific notation?


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September 01, 2014

Extra Practice


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September 01, 2014

Extra Practice


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September 01, 2014

scientific notation - polk county school district notation.pdfscientific notation is used to write...

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