19­22 Scientific Notation.notebook
LT 5ab: I can convert between scientific notation and standard form.
a) numbers greater than 1
b) numbers less than 1
p.19
What is • Scientific notation is a way to write __________________ Scientific or ___________________ in a readable manner.
Notation?
• Definition: A number written with a coefficient of _______________ but _______________________ and multiplied by a _________________.
10
Scientific to Standard Form
aka Decimal Notation
• If the exponent is _____________
the number is ________________.
• If the exponent is _____________
the number is ________________.
Numbers Greater than 1
3.8 104
(multiply 3.8 by 10 four times)
If the exponent is positive, move the decimal to the ____________________. You Try:
Numbers Less than 1
4.2 10­3 (divide 4.2 by 10 three times)
If the exponent is negative, move the decimal to the ____________________.
● 9
8.1 10
● ­5
3 10
4
●
4.01 10
7.02 10
● ­3
Write each number in standard form.
19­22 Scientific Notation.notebook
Standard to Scientific
Notation
5,920,000 0.00087 p.20
10
You Try:
10
68,400,000,000
0.00077
4,020
0.00000502
Write each number in scientific notation.
What does Calculator___________________________
7.3E5
Scientific Scientific Notation look Notation ____________________________
like on a Standard calculator? Form _______________________________
Scientific Notation ____________________________
Standard Form _______________________________
Calculator___________________________
Calculator___________________________
Scientific Notation ____________________________
Scientific ­10
Notation ____________________________
Standard Form _______________________________
Standard Form _______________________________
2,500,000,000,000,000
Summary:
3.3E­7
Calculator___________________________
3.12 10
19­22 Scientific Notation.notebook
CW
A.
P
p.21­22 (A,B,1,2,7,11,18,21,24)
What are the two important rules to remember when writing a number in scientific notation?
B.
p.21­22 (all)
p.21
How do you know when a number written in scientific notation will be between 0­1 or greater than 1?
For 1­6, write each number in scientific notation.
For 7­12, write each number in standard form.
For 13­16, explain why each number is not written in scientific notation correctly.
19­22 Scientific Notation.notebook
17.
The circumference of Earth at the
equator is 24,902.4 miles. Which expression represents this in scientific notation?
p.22
18.
Which number(s) below are written in scientific notation?
19.
20.
The thickness of a penny is about . Write this number in standard form.
21.
A calculator display showed 4.5E­4. 22. A calculator display showed 3E6. Write this number in:
Write this number in:
Scientific Notation _______________________________
Scientific Notation _______________________________
Standard Form __________________________
Standard Form __________________________
"Remembering"
23.
What is the distance between the points (3, ­1) and (­2, 5)?
24.
Graph both equations.
y
y = ­2x ­ 5
1 y = x
2
d = (x2 ­ x1)2 + (y2 ­ y1)2
x
Where do the two graphs intersect?
19­22 Scientific Notation.notebook
1­4
5­7
2­4
5­7
8­10
11­13
9­10
12­13
Score:
14­16
17­18
15­16
17­18
19­22
21­22
19­22 Scientific Notation.notebook
CW
P
p.21­22 (A,B,1,2,7,11,18,21,24)
p.21­22 (ALL)
SHOW WORK!
A) A,B
B) negat
1) 7.86
1,2,7,11,18,21,24
positi
2) 3.9
7) 6,17
11) 0.0
18) A a
21) Sci
Stan
24) Int
p.21 answers
19­22 Scientific Notation.notebook
not between 1­10
p.22 Answers
19­22 Scientific Notation.notebook
18.
17.
A calculator display showed 4.5E­4. Write this number in:
4.5 10­4
0.00045
Scientific Notation _______________________________
Standard Form __________________________
A calculator display showed 3E6. Write this number in:
3 10
6
Scientific Notation _______________________________
3,000,000
Standard Form __________________________