Download Scientific Notation

Scientific Notation
Warm-up
1. Sign Social Contract.
2. Take out your 3 subject spiral. Number the
pages.
3. Make table of contents on the first page of
the spiral. (see white board).
4.
Pass out textbook Volume 1.
Do Launch the Lesson on Pg.49
Interactive Notebook
1.
2.
3.
4.
Leave first 2 pages for table of contents.
Pg. 1 – Syllabus
Pg. 2 – 6 weeks calendar and TEKS
Pg. 3 – Warm up/HW on left side,
notes on right side
Scientific Notation
Scientific Notation
Learn to express large and small
numbers in scientific notation and to
compare two numbers written in scientific
notation.
Vocabulary
scientific notation
Scientific Notation
An ordinary quarter contains about
97,700,000,000,000,000,000,000 atoms.
The average size of an atom is about
0.00000003 centimeters across.
The length of these numbers in standard
notation makes them awkward to work with.
Scientific notation is a shorthand way of
writing such numbers.
Scientific Notation
To express any number in scientific notation,
write it as the product of a
number between 1 and 10
and a
power of ten
Scientific Notation
Helpful Hint
A number less than 1 will have a negative
exponent when written in scientific notation.
A number MORE than 1 will have a positive
exponent when written in scientific notation.
STANDARD TO SCIENTIFIC
97,700,000,000,000,000,000,000
Step 1: Move the decimal until you get to
a number between 1 and 10.
Step 2: Count the number of places you
moved the decimal and put it as a
power of 10.
Answer__________________
STANDARD TO SCIENTIFIC
0.00000003
Step 1: Move the decimal until you get to
a number between 1 and 10.
Step 2: Count the number of places you
moved the decimal and put it as a
power of 10.
Answer__________________
Scientific Notation
Translating Standard Notation to Scientific Notation
Write 0.00709 in scientific notation.
Write 0.000811 in scientific notation.
Scientific Notation
Translating Standard Notation to Scientific Notation
Write 436000 in scientific notation.
Write 378000 in scientific notation.
Scientific Notation
Translating Scientific Notation to Standard Notation
Look at the exponent
Positive power: Move the decimal to the right
Negative power: Move the decimal to the left.
Scientific Notation
Scientific Notation
Translating Scientific Notation to Standard Notation
Write the number in standard notation.
1.35  105
Write the number in standard notation.
2.7  10–3
PRACTICE
Convert the following numbers to Scientific Notation.
1. .0005389
2. 405,389,000
3. 1,903,000
4. .0328701
PRACTICE
Convert from Scientific Notation to Standard Form.
1.
2.
3.
4.
-5
10
5.836 x
9
8.301 x 10
-4
6.1 x 10
1
7.54 x 10
Write in scientific notation:
1) 245,000,000
2) 0.0000000832
Write in standard notation:
3) 4.23 x 105
4) 6.426 x 10-4
Applying Scientific Notation
The diameter of
an atom is about
0.000002 of an
inch. Express
this number in
scientific
notation.
Solar System
The distance from
the sun to the
planet Neptune is
about
2,762,000,000
miles. Express this
number in
scientific notation.
Micro-Biology
The biologist viewed
the germ in the
microscope. He
recorded the
measurement on his
chart. He wrote 4.63
x 10-4 of an inch.
How is this number
expressed in
standard form?
Applying Scientific Notation
Venus is
6.724 x 107 miles
from the sun.
Express this
number in
standard form.
Which number is less: 7.2 x 107 or 9.9 x 105?
Which number is greater: 3.5 x 104 or 2.1 x 106?
Use <, >, = to answer
4.34 x 104
4.5 x 104
6.2 x 10-7
6.8 x 10-8
8.84 x 106
8.141 x 108
Use <, >, = to answer
5.9 x 1011
5.88 x 1012
2.2 x 10-9
2.77 x 10-8
7.4 x 105
7.44 x 105
Put the numbers in order
from least to greatest.
-2
10
1.5 x
1.2 x 10-2
-3
5.85 x 10
2.3 x 10-2
5.5 x 106
Lesson Quiz: Part I
Write each number in standard notation.
1. 1.72  104
17,200
2. 6.9  10–3
0.0069
Write each number in scientific notation.
3. 0.0053
5.3  10–3
4. 57,000,000
5.7  107
5. Order the numbers from least to greatest.
T 2  10–4, 9  10–5, 7  10–5
7  10–5, 9  10–5, 2  10–4