Transcript Scientific Notation

Scientific Notation
DRILL – Scientific Method
1.
2.
What are the steps of the Scientific Method?
Explain how you performed each of the steps
during the Bubble Lab yesterday.
Objectives
iWBAT
 Create a Pride Pact for our class
 convert numbers into proper scientific
notation.
 convert numbers out of scientific notation.
 Summarize the data obtained from the
Bubble Lab

Pride Pact
We will create a Pride Pact to use in our
class this year.
 Think of some expectations that you have
to make our classroom run smoothly this
year.

Format for Scientific Notation
Number x 10power
this “lead” number should be
between 1 and 9
What does “powers of ten” mean ?
1
10
100
1000
is
is
is
is
1 x 100
1 x 101
1 x 102
1 x 103
is 10 x 1
is 10 x 10
is 10 x 10 x 10
70 is 7 x 101
700 is 7 x 102
Add a decimal to the number if there is
none.
i.e. 44 becomes 44.
Convert 3505 into Scientific Notation
To convert 3505 into scientific notation you must first add a decimal
to the end .
3505 becomes 3505.
Grab the decimal point and move it to the left 3 decimal places.
(Remember that the goal is to move the decimal point until you have
a lead number between 1 and 9.)
The number then becomes 3.505 and since you moved 3 decimal
places you have 3 powers of 10. Your answer becomes 3.505 x 10 3


(You made the lead number smaller, so the exponent must get
bigger)
(Remember … don’t chop numbers off the end)
Convert 0.0777 into Scientific Notation
Grab the decimal point and move it to the right 2 decimal
places.
(Remember that your goal is to move the decimal point
until you have a lead number between 1 and 9.)
The number then becomes 007.77 (which is really 7.77)
Since you moved 2 decimal places you have 2 powers of
10. Your answer becomes 7.77 x 10 -2

(You made the lead number bigger, so the exponent
must get smaller)
Rule of Thumb

If you make the lead number smaller,
the exponent must get bigger.

If you make the lead number bigger,
the exponent must get smaller.
Convert into Scientific Notation
1. 303
2. 1500
3. 200.5
4. 0.004
5. 0.0333
Convert out of Scientific Notation
1.
2.
3.
4.
5.
5 x 102
9.2 x 104
0.078 x 103
0.078 x 10-3
9.67 x 10-2
Multiplying in Scientific Notation
Multiply the lead numbers, add exponents
 Example:

(4 x 102)(5 x 106)=
20 x 10(2+6)=
20 x 108=
2 x 109
Practice
(7 x 102)(2 x 10-3) = 14 x 10-1
proper scientific notation is 1.4 x 100
Dividing in Scientific Notation
Divide the lead numbers, subtract the
exponents.
 Example:

(6.3 x 105)÷(3 x 102)=
(6.3 ÷ 3) x 10(5-2)=
2.1 x 103
Practice
Exponents WS
 Scientific Notation/Calculations WS p. 11
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