#### 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

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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