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Transcript 
Scientific Notation
Pre-Algebra
Number Sense 1.1
The Universe Within
Vocabulary
Scientific Notation – is a product of two
numbers. One number is between 1 and 10
and the other is a power of 10.
For Example
8 x 105
What is the Standard Form?
2
1x10
3
1x10
4
1x10
5
1x10
100
1,000
10,000
100,000
What is the Standard Form?
Notice the relationship between the
exponent and the number of zeroes in the
standard form.
2
1x10
3
1x10
4
1x10
5
1x10
100
1,000
10,000
100,000
What Is the Standard Form?
Notice the relationship between the
positive exponent and the placement of
the decimal to the right.
2
1x10
3
1x10
4
1x10
5
1x10
.0.
100
110
.00
1000.
100.0
10.00
1.000
1000
1000.0
10,000
100.00
10.000
1.0000
10000.
100,000
100000.
10000.0
1000.00
100.000
10.0000
1.00000
What Is the Standard Form?
-2
1x10
-3
1x10
-4
1x10
-5
1x10
0.01
0.001
0.0001
0.00001
What Is the Standard Form?
Notice the relationship between the
exponent and the number of zeroes in the
standard form.
-2
1x10
-3
1x10
-4
1x10
-5
1x10
0.01
0.001
0.0001
0.00001
What Is the Standard Form?
Notice the relationship between the negative
exponent and the placement of the decimal to
the left.
-2
1x10
-3
1x10
-4
1x10
-5
1x10
0.01
0.01
.1
1.
0.001
0.001
.01
.1
1.
0.0001
.001
.01
.1
1.
0.00001
.0001
.001
.01
.1
1.
Writing Large Numbers in
Scientific Notation
Move the decimal to the right
two place values.
2
6 x 10 = 600
Remember!
The exponent is the same as the
number of zeros.
2
6 x 10 = 600
What is the Standard Number?
4
9.2 x 10 = 92,000
What is the Standard Number?
Move the decimal to the left
three place values.
-3
8.24 x 10 = 0.00824
What is the Standard Number?
-2
7 x 10 = 0.07
What is the Standard Number?
2
7 x 10 = 700
What is the Standard Number?
3
8.24 x 10 = 8,240
What is the Standard Number?
1
4.01 x 10 = 40.1
What is the Standard Number?
-4
9.2 x 10 = 0.00092
What is the Standard Number?
-1
4.01 x 10 = 0.401
What is the Scientific Notation?
500 = 5 x 10
2
What is the Scientific Notation?
6,238
=
3
6.238 x 10
What is the Scientific Notation?
94,872
=
9.4872 x 10
4
What is the Scientific Notation?
5
795,041 = 7.95041 x 10
What is the Scientific Notation?
0.05 = 5 x 10
-2
What is the Scientific Notation?
0.006238
=
-3
6.238 x 10
What is the Scientific Notation?
-4
0.0009487 = 9.487 x 10
What is the Scientific Notation?
0.000079504 = 7.9504 x 10
-5
Summary
Define scientific notation?
Explain the usefulness of scientific notation?
What is the difference between a number
written in standard form and a number written
in scientific notation?
Explain how to write a number in standard
form into scientific notation.
Explain how to write a number in scientific
notation in standard form.
Show me what you have learned.
Choose one standard number and write
it in scientific notation.
1,632
745
28.59
0.08
Now write in order the steps you used to
write your number in scientific notation.
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