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Scientific notation

What it is, What it isnt, and How to do it!
by

Maya Da Builder

on 24 October 2014

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Transcript of Scientific notation

Scientific Notation
By: Maya
When people learn about scentific notations, it can be VERY confusing. ,"But I'm going to make it a lot simpler! You have multiplying, dividing, subtracting, and adding. But first let's talk about the basics.
When you have a positive exponent you move the decimal to the right If you have a negative exponent you move the decimal to the left.
Use zeroes to fill in places
Place decimal point next to non-zero digit to left
Count the number of spaces moved from original number
If the original number was less than 1 the exponent is a negative
If the original number is more than 1 the exponent is positive
Examples
0.097 x 10 to the power of 4 EQUALS 9.7 x 10 to the power of 6
57x 10 to the power of -3 EQUALS 5.7 x 10 to the power of -4
Intro
The Basics
Division
THANK YOU FOR WATCHING!!!
Subtract
More
Power of 10
If you're doing scientific notations then you must know what exponents are but this chart is a good refresher!
Definition- A way to rewrite very large or small numbers using powers to the base of 10
Uses- Math, make large numbers simpler, make smaller numbers simpler
When you're doing this you will usually see that the answers are usually between 1-9. Which brings me to my next point. When you're doing scientific notation, you make the number fit in between 1-9! 1.5, 8.9, all of that, is scientific notation!
Decimals and Powers of Ten
Multiplication
Multiply the numbers and add the exponents
Examples-
1.2 x 10 to the power of 4 x 5 x 10 to the sixth power EQUALS 6 x 10 to the tenth power
.
Divide the numbers and subtract the exponents
examples-
4.8772 x 10 to the power of 7
-------------------------------
2.74 x 10 to the power of 4 =
1.78 x 10 to the power of 3

4.8772 divided by 2.74 equals 1.78
7-4 = 3


Addition
make the exponents the same number
for addition and subtraction, if you go to the right you have to subtract 1 from the exponent. If you go to the left then add 1 to the exponent
Add the main numbers and keep exponents
Examples
1.04 x 10 cubed +
6.8 x 10 squared = 1.72 x 10 squared
turn 6.8 to 0.68 x 10 squared
add the numbers keep
exponents...
make the exponents the same number
if you go right you have to subtract 1 from the exponent.
If you go to the left then add 1 to the exponent
subtract the main numbers and keep exponents
Examples
8 x 10 to the 4th - 2 x 10 to the 3 =
7.8 x 10 to the forth
change 2 to .2 add 1 to exponent making it 4
Subtract
Summary
Standard Form, Scientific Notation
SF- 100.0
SN-1 x 10 squared
Full transcript