**SCIENTIFIC NOTATION**

lET'S think of something really big.

Like the distance from the sun to the Earth.

Now, Something small.

A paperclip weighs 0.0011 pounds.

Let's make it easy and not write all of those zeros.

Scientific Notation

scientific notation: how does it work?

Instead of writing each digit, scientific notation is a way of writing a number in two parts.

How to get the First factor

It's 93,000,000 miles.

That's a lot of zeros.

a way to write really big or really small numbers.

FIRST FACTOR

1 or greater but

less than 10

SECOND FACTOR Power of 10

1. Put your pencil after the first non-zero digit. This is where the decimal goes.

2. Next, underline from the first non-zero digit to the last one. (In other words, stop when you get to the string of zeros.) You now have your first factor.

How do we get the second factor?

Easy! Just count the number of places you put your new decimal point. This is the power of 10.

7 6 5 4 3 2 1

Start counting

here

The decimal moved 7 places so the power of 10 is 7

Scientific Notation

Do you get it? Maybe?

Let's do examples!

Try on your own!

Decimal moved 6 times

so power of 10 is 6.

hopefully you get the idea. let's do small numbers now.

It's the same process for small numbers, but instead of going left to put the new decimal, you go right. This makes the power of 10 NEGATIVE.

Answer to "Try on your own!"

problem on last slide:

1 2 3

The decimal moved 3 places to the right so power of 10 is -3.

examples!

Try it on your own!

93,000,000

9.3

10

7

93,000,000

9.3

93,000,000

.

9.3

10

7

0.0011

.

1.1 10

-3

Remember--the new decimal point goes after the first non-zero digit.

8,922,000

740,000

301,000,000

624,800,000

8.922 x 10

7.4 x 10

3.01 x 10

6

5

8

6.248 x 10

8

0.002

0.00543

0.0000802

0.00046

2.0 x 10

5.43 x 10

8.02 x 10

-3

-3

-5

How do you start with scientific notation to write a number?

BIG NUMBERS

1.2 X 10

4

12,000

Move the decimal to the RIGHT whatever the power of 10 is.

SMALL NUMBERS

3.56 X 10

0.00356

-3

Move the decimal to the LEFT whatever the power of 10 is.

thank you for checking out some scientific notation!

This is a Mathchips

Prezi presentation!

Answer to "Try on your own!" problem from last slide:

4.6 x 10

-4

_