**The number 10 is beyond measure**

**SCIENTIFIC NOTATION**

Okay . . .

let's try it

Let's try another . . .

Let's try this . . .

8th Grade

General Math

If we have the number 8900 and

we want to write it in scientific notation,

what would we do?

What if we have the number 23,415.

How do we write it in

scientific notation?

What if we have the number

0.0007801?

8900 x 10

Where does the decimal point go?

What power of ten should we have?

What if we have the

number 65,000,000?

Where does the decimal point go? What power of 10 should we have?

I think that we have

only worked with really

numbers.

WHAT IF WE TRY SOME

REALLY NUMBERS?

small

How about the number 72,000,000?

Where does the decimal point go?

What power

of 10 do

we use?

Write it down, please.

Because the original number was

less than 1, we will have a

negative exponent.

BIG

Write it down, please.

Write it down, please.

Can you do it?

uh huh . . . write it down, please.

When we worked with the numbers

greater than one

, our exponent

was a

positive

number.

Did you notice that?

Of course you did!

Write it down, please.

decimal

There will be one non-zero digit to the left of the decimal.

Then count the number of places you moved the decimal. That is the exponent.

Where does the decimal point go?

What number do we use for the exponent?

**POWERFUL**

There is one non-zero digit to the

left of the decimal point. we

moved the decimal 7 places. So the

exponent is 7.

There is one non-zero digit

to the left of the decimal

point.

We moved the decimal point

four places. So the

exponent is 4.

There should be one non-zero

digit to the right of the decimal

point.

How many places did

you move the decimal

point?

Oh! One last thing . . . since the

original number was less than one,

Will the exponent be positive

or negative?

Try these on your own:

Write the following in scientific notation:

4,000

27,365

230,000,000

Here are a couple more:

Write the following in scientific notation:

0.0345

0.00072

0.00000000018

Here it is more simply . . .

This number started out as 602,000,000,000000,000,000,000.

YIKES!

Let's start out with

something smaller . . .

Independent practice:

Write using scientific notation:

22,078,600

64.3

0.0000056388

998.653

45.668

0.007485

7,960,000,000

63,000,000

0.0602

Let's see if

the video makes

more sense now.

We moved the decimal point four places to the right. The original number was less than 1, so we

have a negative exponent.

This is really,

really

tiny.

Again a negative exponent.

The original number was less

than 1.

Is that what you got?

Easy, peasy?

Yep . . . you've got this :D

Scientific notation is

very POWERFUL.

Homework:

Workbook page 30

#1 - 24 all

Converting to Scientific Notation. . .

Example:

Given 4,630,000

4.63 (move the decimal point 6 places)

Answer: 4.63 x 10

The original number was greater than 1 so the exponent is positive.

6

[

]

This is gonna be cool!

Are you ready for this?

Of course you are :D