UNIT: NUMBER SENSE
N.S. 1.1- SCIENTIFIC NOTATION
Per 3, 5- 8/19/13 Per 2, 4, 6- 8/20/13
Note-Taking Expectations:
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
The title/date of each set of notes must be written on your cover sheet and
your next available page in your composition book.
You must number each page and write down which page your set of notes
appear on your cover sheet.
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Each set of notes must be started on a new page.
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Headings must be labeled accurately (proper title, date, page number).
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You must take notes on every slide UNLESS I tell you otherwise.
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You may abbreviate, shorten, and paraphrase.
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You must write down each step and example.
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If I am going to fast, please calmly let me know and I will give you some
more time.
If you see a mistake, please politely raise your hand and inform me.
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Each heading on my slides should be your subheading. You must underline
each subheading.
If independent practice is assigned, it counts as a part of that set of notes
and you can start your independent practice underneath your notes if you
have space. Otherwise, you will start it on your next available page as a
sub-heading.
Scientific Notation:
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
Scientific Notation is a quick way to express very
large or very small numbers.
It is most often used in “scientific” calculations where
the analysis must be very precise.
Goal/Objective:
You will need to be able to…
 1. Standard form into scientific notation
 2. Scientific to standard form.
Form:
Scientific Notation will look like this:
A number × 10y
Coefficient
base exponent
BIG NOTE: Coefficient must always be between 1
and 10.
Standard Form to Scientific Notation:
Example: 34,500,000,000
Step 1: Identify if starting value is less than or greater
than one.
greater than 1= positive exponent
less than 1= negative exponent
Example: 34,500,000,000
Step 2: Identify where your decimal is in the original
number. Then move it to get a coefficient between 1
and 10.
Step 3: Count how many places we moved the decimal
to its new position. ____ places.
3.45 X _____
What is our base going to be??
What is our exponent going to be??
Example 2:
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Scientific Notation is also used to express very small
numbers.
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0.0000567
Whiteboard CFU (check for understanding)
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When expressed in scientific notation, will the
following number have a positive or negative
exponent?
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0.000985
Answer:
NEGATIVE
Whiteboard CFU:

When expressed in scientific notation, will the
following number have a positive or negative
exponent?
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42,359
Answer:
POSITIVE
Whiteboard CFU
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Express the following in scientific notation:
87,650,000,000
Answer:

8.765 x 1010
Whiteboard CFU
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Express the following in scientific notation:
0.000643
Answer:
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6.43 x 10-4
Scientific Notation to Standard Form:
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Example: 5.78 x 105
Step 1: Re-write the coefficient
5.78
Step 2: Move the decimal to the right if exponent is positive.
Move to the left if negative. Add zeros where necessary
Check ✔
578,000=
Does our answer match the starting value? 5.78 x
105
Whiteboard CFU
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To express this number in standard form, do we
need to move the decimal to the right or the left?
3.69 X 10-3
Answer:
LEFT
Whiteboard CFU
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To express this number in standard form, do we
need to move the decimal to the right or the left?
3.57 X 105
Answer:
POSITIVE
Whiteboard CFU

Express 4.33 x 10-6 in standard form.
Answer

.00000433
Whiteboard CFU
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Express 2.75 x 107 in standard form.
Answer:
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27,500,000
Whiteboard CFU
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Which of the following is NOT a correct expression
of scientific notation?
a) 1.05 x 107
b) 6.43 x 104
c) 15.5 x 10-3
d) 7.900 x 10-2
Independent Practice NS 1.1
You must write the problem and show
work. Box answer
To scientific Notation:
1. 0.033
2. 49,700
3. 53,200
4. 0.333
5. 633,000
6. 0.0572
To standard form:
-4
7. 6.76 X 10
7
8. 4.32 X 10
-2
9. 3.54 X 10
5
10. 7.8 X 10
Answer in complete sentences. Do not
write the question.
11. If 325,678 is converted into
scientific notation, will the
exponent be negative or
positive? How do you know?
12. If .000987 is converted into
scientific notation, will the
exponent be negative or
positive? How do you know?
13.
If you are converting 0.327 into
standard form, will you need to
move the decimal to the right or
to the left? How do you know?