scientific notation the basics and some math.. take out your calculator. write these calculations...
TRANSCRIPT
![Page 1: Scientific Notation The basics and some math.. Take out your calculator. Write these calculations and the answer in your notes: 12,922,341 / 0.011](https://reader036.vdocuments.site/reader036/viewer/2022062500/56649ef15503460f94c029e7/html5/thumbnails/1.jpg)
Scientific NotationThe basics and some math.
![Page 2: Scientific Notation The basics and some math.. Take out your calculator. Write these calculations and the answer in your notes: 12,922,341 / 0.011](https://reader036.vdocuments.site/reader036/viewer/2022062500/56649ef15503460f94c029e7/html5/thumbnails/2.jpg)
Take out your calculator. Write these calculations and the answer in
your notes:
12,922,341 / 0.011 435 7 =
1,130,000,000
0.05 / 20,111 =
0.000 002 486
Re-writing numbers in SCIENTIFIC NOTATION makes it so we don’t
have to deal with all of these “extra” zeros.
![Page 3: Scientific Notation The basics and some math.. Take out your calculator. Write these calculations and the answer in your notes: 12,922,341 / 0.011](https://reader036.vdocuments.site/reader036/viewer/2022062500/56649ef15503460f94c029e7/html5/thumbnails/3.jpg)
Scientific Notation(Exponential Notation)
Scientific Notation is used to express any number as: a number between 1 and 10
(called a coefficient) multiplied by 10
(the “base” as in “base 10”) raised to a power
(indicated by an exponent)
9.13x108
9.13E8
coefficient = 9.13
exponent = 8
What is it?
![Page 4: Scientific Notation The basics and some math.. Take out your calculator. Write these calculations and the answer in your notes: 12,922,341 / 0.011](https://reader036.vdocuments.site/reader036/viewer/2022062500/56649ef15503460f94c029e7/html5/thumbnails/4.jpg)
First, let’s review exponents
Count the “0”s
10 = 10 (x 1) = 101 1 100 = 10 x 10 = 102 2 1,000 = 10 x 10 x 10 = 103 3 10,000 = 10 x 10 x 10 x 10 = 104 4
The number in the exponent tells you how many times ten is multiplied by itself.
![Page 5: Scientific Notation The basics and some math.. Take out your calculator. Write these calculations and the answer in your notes: 12,922,341 / 0.011](https://reader036.vdocuments.site/reader036/viewer/2022062500/56649ef15503460f94c029e7/html5/thumbnails/5.jpg)
Reviewing Exponents
Any number raised to the 0 power – or has a 0 in the exponent = 1.
So, 100 = 1
![Page 6: Scientific Notation The basics and some math.. Take out your calculator. Write these calculations and the answer in your notes: 12,922,341 / 0.011](https://reader036.vdocuments.site/reader036/viewer/2022062500/56649ef15503460f94c029e7/html5/thumbnails/6.jpg)
Scientific NotationBase 10 cont.
109 would equal a 1 followed by how many zeros?
9 1,000,000,000
What would 1.13 x 109 be if written in “long form?”
Move the decimal place to the right 9 places. 1,130,000,000
What does this really mean?
![Page 7: Scientific Notation The basics and some math.. Take out your calculator. Write these calculations and the answer in your notes: 12,922,341 / 0.011](https://reader036.vdocuments.site/reader036/viewer/2022062500/56649ef15503460f94c029e7/html5/thumbnails/7.jpg)
When you have a positive exponent, move your decimal to the right
the same number of places that are in the
exponent.
![Page 8: Scientific Notation The basics and some math.. Take out your calculator. Write these calculations and the answer in your notes: 12,922,341 / 0.011](https://reader036.vdocuments.site/reader036/viewer/2022062500/56649ef15503460f94c029e7/html5/thumbnails/8.jpg)
Let’s rewrite the first number we calculated in scientific notation.
12,922,341 / 0.011 435 7 =
1,130,000,000
1.13 x 109
![Page 9: Scientific Notation The basics and some math.. Take out your calculator. Write these calculations and the answer in your notes: 12,922,341 / 0.011](https://reader036.vdocuments.site/reader036/viewer/2022062500/56649ef15503460f94c029e7/html5/thumbnails/9.jpg)
Scientific NotationBase 10 – negative exponents
If the exponent is negative, think division.
10-1 = 1/(10) = 0.1 10-2 = 1/(10 x 10) =1/(100) = 0.01 10-3 = 1/(10 x 10 x 10) = 1/(1,000) =
0.001 10-4 = 1/(10 x 10 x 10 x 10)= 1/(10,000) =
0.0001
What does this really mean?
![Page 10: Scientific Notation The basics and some math.. Take out your calculator. Write these calculations and the answer in your notes: 12,922,341 / 0.011](https://reader036.vdocuments.site/reader036/viewer/2022062500/56649ef15503460f94c029e7/html5/thumbnails/10.jpg)
Move the decimal point to the left if you have a
negative exponent.
![Page 11: Scientific Notation The basics and some math.. Take out your calculator. Write these calculations and the answer in your notes: 12,922,341 / 0.011](https://reader036.vdocuments.site/reader036/viewer/2022062500/56649ef15503460f94c029e7/html5/thumbnails/11.jpg)
Let’s rewrite our second number in scientific notation.
0.05 / 20,111 = 0.000 002 486
Coefficient = 2.486 The decimal would have to be moved to
the left 6 places, so our exponent will be -6.
2.486 x 10-6
![Page 12: Scientific Notation The basics and some math.. Take out your calculator. Write these calculations and the answer in your notes: 12,922,341 / 0.011](https://reader036.vdocuments.site/reader036/viewer/2022062500/56649ef15503460f94c029e7/html5/thumbnails/12.jpg)
Now give it a try with a partner. You have 5 minutes.