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Chapter 6 Lesson 3
Scientific Notation
How do you find a number
from 2 digit scientific notation?
I'm pretty sure you already
know what we're doing next.
This won't be a surprise.
2 Digit Backwards
Oh, you're trying the
backwards stuff again.
Sure. In fact, I'll make a
problem. You make it happen.
6,200
You know, I think I
really know how to make this
into scientific notation.
6,200
Give it a shot. Be the teacher.
6,000
1
Moved
it here.
2
3
The decimal
was here.
First, count the places
after the 1st digit.
62,000
6 x 10
3
It looks like this. 6 x 10 to the 3rd.
62,000
6 x 10
3
Ok, what happens to the 2?
6,200
6.2 x 10
3
Write the 2nd digit in?
6,200
6.2 x 10
3
Bingo. Jackpot.
You win the prize.
6.2 x 10 to the 3rd.
Really!? What did I win?
Duh, you're the teacher. Same
thing I get when I get it right. Zip.
Teacher, what's up next?
7,500,000
Ok, tall kid in the front row.
What's the 1st step?
7,500,000
I don't know, teacher.
I'll start with the 7.
I better count some places.
7,500,000
6 places
7 x 10
6
Solve the 1st digit.
It's 7 x 10 to the 6th.
7,500,000
6 places
7 x 10
6
Very good. Now, finish it.
What's the 2nd digit?
7,500,000
7.5 x 10
6
Write the 2nd digit in.
7.5 x 10 to the 6th.
7,500,000
7.5 x 10
6
Bingo. Oops, you already
said that. I'll make another one.
84,000,000
Now, all 1 step.
Find 1st digit, add the 2nd in.
It feels kind of different
being the teacher.
84,000,000
7 places
8.4 x 10
7
1st digit is 8 x 10 to the 7th
and put the 4 next to it.
84,000,000
7 places
8.4 x 10
7
Good job, kid. One more to go.
Ok, you in the front row. Listen
up or you get a detention.
Funny, I always wanted to say
that. Ok, I'll write a problem up.
2,400,000
Does anybody
know this? Anybody?
You, with the glasses.
Pay attention to this.
2,400,000
Yes, sir. I know the answer, if
you wouldn't stand in front of it.
2,400,000
Oh, sorry. What is the
scientific notation?
2,400,000
6 places
2.4 x 10
6
2 x 10 to the 6th and
put 4 next to it.
2,400,000
6 places
2.4 x 10
6
Hey, I think I'll give myself an A.
Not so much.
Well, did you like teaching?
Yeah, it was a blast. Are you
allowed to let me teach like that?
Sure, I get paid the same,
no matter who's teaching.
Wanna grade some papers?
I'll grade my paper
anytime you want me to.
You should give me an A for teaching.
That would be an easy A,
kind of like PE. You get an A
just for showing up.
Did you get A's in PE?
Not a single A. You know, I think
I will give you an A for teaching.
Sweet! An A for teaching.
Wait until I tell my mom.
5,400
What's the 1st step to
make scientific notation?
5,400
5 x 10
3
Find the 1st Digit
Where does the 2nd digit go?
5,400
5.4 x 10
3
2nd digit goes after the 1st.
Use a decimal to make 5.4.
5.4 x 10 to the 3rd
70 thousand
What is the scientific
notation for 70,000?
70 thousand 70,000
7 x 10
4
You need to know the
exponents for the numbers.
Chapter 6 Lesson 3
Scientific Notation
Short Lesson
How do you find a number
from 2 digit scientific notation?
2 Digit Scientific Notation
We made scientific notation
that used 2 digits.
Now we'll go backwards.
3.1 x 10
3
Change this scientic
notation to a number.
What's the 1st step?
3
3 x 10 = 3,000
1. Find the first digit.
2. Count the exponent places.
Where does the 1 go
for the 2nd digit?
3
3.1 x 10 = 3,000
Where does the 1 go
for the 2nd digit?
3
3.1 x 10 = 3,100
2nd digit goes next to it.
Just like 1 digit numbers
but it has a 2nd step.
4.7 x 10
Solve the 1st digit to
find this number.
2
4.7 x 10
2
400
Find the 1st digit and
count the exponent places.
What happens next?
Questions
4.7 x 10
5
How is 2 digit like
1 digit scientific notation?
4.7 x 10
2
470
Put the 2nd digit in.
The decimal point is
what counts the places.
4.7 x 10
5
400,000
The 1st digit is the same.
What happens to the 2nd digit?
400,000
470,000
2nd digit goes next to it.
6.1 x 10
3
What's the 1st step to make
a number for scientific notation?
6.1 x 10
3
6000
3 places
Find the 1st digit number.
Where does the 2nd digit go?
6.1 x 10
3
6,100
Put it after the 1st digit.
6 thousand 1 hundred
Chapter 6 Lesson 3
Scientific Notation
Practice #1
How do you find a number
from 2 digit scientific notation?
5,400
What's the 1st step to
make scientific notation?
5,400
5 x 10
3
Find the 1st Digit
Where does the 2nd digit go?
5,400
5.4 x 10
3
2nd digit goes after the 1st.
Use a decimal to make 5.4.
5.4 x 10 to the 3rd
75 thousand
What is the scientific
notation for 75,000?
75 thousand 75,000
7.5 x 10
4
You need to know the
exponents for the numbers.
Problems
8,500
What's the 1st step to make
2 digits into scientific notation?
8,500
3 places
8 x 10
3
Find the 1st Digit
8000 is 8 x 10 to the 3rd
Where does the 2nd digit go?
8,500
3 places
8.5 x 10
3
2nd digit goes after the 1st.
8.5 x 10 to the 3rd
970,000
What's the 1st step to
change 970,000?
970,000
5 places
9 x 10
5
It's 9 to the 5th.
What is the 2nd step?
970,000
5 places
9.7 x 10
5
Put the 2nd digit in.
9.7 times 10 to the 5th.
8,500,000
What's the 1st step
to change 8,500,000?
8,500,000
6 places
8 x 10
6
It's 8 to the 6th.
What happens next?
8,500,000
6 places
8.5 x 10
6
Put the 2nd digit in.
8.5 times 10 to the 6th.
Chapter 6 Lesson 2
Scientific Notation
Practice #2
How 2 digit scientific notation
is different from 1 digit.
5,400
What's the 1st step to
make scientific notation?
5,400
5 x 10
3
Find the 1st Digit
Where does the 2nd digit go?
5,400
5.4 x 10
3
2nd digit goes after the 1st.
Use a decimal to make 5.4.
5.4 x 10 to the 3rd
75 thousand
What is the scientific
notation for 75,000?
75 thousand 75,000
7.5 x 10
4
You need to know the
exponents for the numbers.
Problems
9 thousand
What's the scientific
notation for 9 thousand?
9,000
9 x 10
3
9 x 10 to the 3rd
8 million
What's the scientific
notation for 8 million?
8,000,000
8 x 10
6
8 x 10 to the 6th
2 thousand
6 hundred
What's the scientific notation
2 thousand 6 hundred?
2,600
2.6 x 10
3
2.6 x 10 to the 3rd
2 thousand
3 hundred
What's the scientific notation
2 thousand 3 hundred?
2,300
2.3 x 10
3
2.3 x 10 to the 3rd
8 hundred
seventy
What's the scientific notation
for 8 hundred seventy?
81
8.1 x 10
1
8.1 x 10 to the 1st
48
What's the scientific
notation for 48?
870
8.7 x 10
2
8.7 x 10 to the 2nd
Chapter 6 Lesson 3
Scientific Notation
Performance #2
How do you find a number
from 2 digit scientific notation?
5,300,000
8,200,000
Change into scientific notation.
5,300,000 =
5.3 x 10
6
8,200,000 =
8.2 x 10
6
45,000,000
63,000,000
Find scientific notation.
45,000,000 =
4.5 x 10
7
63,000,000 =
6.3 x 10
7
21 thousand
43 thousand
Change into scientific notation.
21 thousand
2.1 x 10
4
43 thousand
4.3 x 10
4
62 million
75 million
Change into scientific notation.
62 million is
6.2 x 10
7
75 million is
7.5 x 10
7
5.3 billion
7.2 billion
Change into scientific notation.
5.3 billion is
5.3 x 10
9
7.5 billion is
7.5 x 10
9
5.3 billion
7.2 billion
Change into scientific notation.
5.3 billion is
5.3 x 10
9
7.5 billion is
7.5 x 10
9
Chapter 6 Lesson 3
Scientific Notation
Performance #2
How do you find a number
from 2 digit scientific notation?
2,300,000
23,000,000
Change into scientific notation.
2,300,000 =
2.3 x 10
6
23,000,000 =
2.3 x 10
7
3,500,000
350,000
Find scientific notation.
3,500,000 =
3.5 x 10
6
350,000 =
3.5 x 10
5
7.1 thousand
9.1 thousand
Change into scientific notation.
7.1 thousand
7.1 x 10
3
9.1 thousand
9.1 x 10
3
8.2 million
8.5 million
Change into scientific notation.
8.2 million
8.2 x 10
6
8.5 million
8.5 x 10
6
9.7 trillion
9.8 trillion
Change into scientific notation.
9.7 trillion
9.7 x 10
12
9.8 trillion
9.8 x 10
12
71 trillion
72 trillion
Change into scientific notation.
71 trillion is
7.1 x 10
13
72 trillion is
7.2 x 10
13