scientifsdbahdkhbdhbidgiusghhyaagsyic notation.ppt

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1. Section 5.1
Scientific Notation and Units
1.To show how very large or very small numbers can be
expressed in scientific notation
2.To learn the English, metric, and SI systems of
measurement
3.To use the metric system to measure length, volume
and mass
Objectives

2. Section 5.1
Scientific Notation and Units
“Arithmetic is being able to count
up to twenty without taking your
shoes off”
Mickey Mouse
Mickey also says “Do you
remember what an
exponent is?”

3. Section 5.1
Scientific Notation and Units
A. Scientific Notation
•Very large or very small numbers can be expressed using
scientific notation
–The number is written as a number between 1 and 10
multiplied by 10 raised to a power.
e.g. 7200 is 7.2 x 10
3
–The power of 10 depends on:
•The number of places the decimal point is moved.
•The direction the decimal point is moved.
Left  Positive exponent
Right  Negative exponent
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4. Section 5.1
Scientific Notation and Units
A. Scientific Notation
•Representing Large Numbers
93,000,000 miles from the
Earth to the Sun (sunlight
takes 8 minutes to reach us)
93,000,000 = 9.3 x 10,000,000
= 9.3 x 10 x 10 x 10 x 10 x 10 x 10 x 10
= 9.3 x 10
7
(Decimal point moved 7 digits to the left)
Number between
1 and 10
Appropriate
power of ten

5. Section 5.1
Scientific Notation and Units
A. Scientific Notation
•Representing Small Numbers
0.000167
To obtain a number between 1 and 10 we
must move the decimal point to the right.
0.000167 = 1.67 10
-4

10
-4
= 1/10000 (one ten-thousandth)

6. Section 5.1
Scientific Notation and Units
Convert the following numbers between normal and
scientific notation:
329
700,000
20090
0.000034
0.01023
123.4
45.607
1.7 x 10
3
2.4503 x 10
5
7.9 x 10
11
2.8 x 10
-3
7.45 x 10
-1
2.3 x 10
-7

7. Section 5.1
Scientific Notation and Units
Convert the following numbers/sums into correct
scientific notation:
35.9 x 10
3
556.67 x 10
4
22.7 x 10
-3
0.0348 x 10
-1
1845 x 10
5
123.4 x 10
23
0.00345 x 10
7

8. Section 5.1
Scientific Notation and Units
Scientific Notation Math
Multiplication
- multiply the numbers, add the indices
1.2 x 10
4
multiplied by 5 x 10
6
=
Division
- divide the numbers, subtract the indices
5.5 x 10
8
divided by 1.1 x 10
2
=
(For all operations reconvert answers to full scientific notation)

9. Section 5.1
Scientific Notation and Units
Scientific Notation Math
•Addition or subtraction:
Convert to the same base and perform the operation
Then reconvert to scientific notation
1.04 x 10
3
plus 6.8 x 10
2
=

10. Section 5.1
Scientific Notation and Units
Combined Operations – Give the answer in scientific
notation
7.5 x 10
5
__________
3 x 10
3
2 x 10
6
x 1.5 x 10
2
________________________
5 x 10
3
6.5 x 10
5
x 4 x 10
4
________________________
2 x 10
-3
7.5 x 10
-5
______________________
3 x 10
3
x 5 x 10
-6