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Scientific Notations

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Katie Stevens

on 6 March 2011

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Transcript of Scientific Notations

Scientific Notations This is Jupiter This is Venus Jupiter is 483000000 miles away from the sun But who would want to write that many zeros for it? How to do Scientific Notations First you have to count the amoutn of spaces it takes for the decimal to move the farthest it has to go to the left/right. The reason the decimal is moving is because you have to make a number that is below 10. So now, the number would be 4.83 instead of 483000000. Next we have to add a x10 after the number So now we have 4.83x10.
But the equation isn't over yet! Now, we take the number of spaces we counted before to get the number below ten, and add it after the ten. The number we counted was 8 So now it looks like:
4.83x10^8 Now let's try it again! Venus is 670000000 km away from the Jupiter. So now we know our number is 670000000 km, time to make it easier to write! First we have to make it into a number below 10,
so it would be 6.7. Next add the x10, making:
6.7x10 Next, add the number of spaces you had to do before getting the number below 10. Like so:
6.7x10^8 Now that we understand how to use Scientific Notation using positive numbers, let's try negatives! Our number is .00024 Instead of moving the decimal to the left, you move it to the right! But remember to keep the number under ten! So now our number is 2.4!
But how do we make that into a Scientific Notation? And the next step is the same as with positive eqautions! Just add x10!
You should have:
2.4x10 But, instead of of adding a positive power to ten, you need to add a negative one! The amount of spaces we counted was 4, so we have to add a -4! So now our equation looks like this:

2.4x10^-4 Let's try this again! Our number is 0.00002332 Don't worry about those extra numbers at the end! You could just round! So the number is 2.3 Next, add the x10:
2.3x10 And then bring in the power!
The power will be 5 because we moved the decimal five times to the right. So now the equation looks like this!

2.3x10^-5 Now let's try turning a Scientific Notation into it's original number! How to Change a Scientific Notation into it's
Original number Our equation will be 4.2x10^6 First we have to move the decimal to the right/left the amount of spaces that was the power. Now we have this:

There are 6 spaces till 4.2 Next we get rid of the x10 and it's power! So now it's 4200000!
And that's it!
Let's try another! Our equation is 6.8x10^9 There are 9 spaces to the right, so it would now be:
6800000000x10^9 And then we get rid of the x10 and power!
So it looks like this:
6800000000 See? It's simple! Now we can do it with negatives! Our equation is 5.5x10^-3 Since it's negative, we have to move the decimal to the left instead of right! And since we have to have 3 spaces, we do it 3 times! So it would look like this:
.0055x10^-3 Then we get rid of the x10 and power!
Which makes it .0055! Let's try again! The new equation is 2.9x10^-6 The amount of spaces we move the decimal to the left is 6,
so it would look like:
.0000029x10^-6 Then just get rid of the x10 and power and you get:
.0000029! Now you know how to do Scientific Notations!
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