Scientific notation
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Transcript of Scientific notation
• Please take out HW (Wks “section 1-3 Exponents”
• Write Down Homework• Complete Warm Up
Thursday, August 25th
1. Write in exponential form: 3 x 3 x 4 x 4 x 4
2. Write in standard form: 12 cubed
Warm Up
Corny Joke of the Day
What did the pretty rock say to the ugly rock?
You are not very gneiss looking
Tests
You will get back
tomorrow
Exponents
RAISE YOUR HAND WHEN YOU FIND THE
ANSWERIF YOU BLURT OUT AN
ANSWER YOU’RE DISQUALIFIED
Candy Toss
Anything raised to the power of 0 =?
1 =
Standard form
4 cubed
Exponential form form
1 x 3 x 3 x 1
5 =
10 =
Table of contents Unit #2 Unit Name: Exponents, O of O, Scientific Notation, and Square Roots
Date: 8/24Section: 1-3Title: ExponentsPages: 1-2
Table of contents Unit #2 Unit Name: Exponents,
O of O, Scientific Notation, and Square Roots
Date: 8/25Section: 1-3Title: Scientific NotationPages: 3-4
Vocabulary
Scientific Notation:
Method of writing numbers that are very large OR Small.
Has two parts: 1. Decimal
x2. Power of 10 1.8 x 10-3
I. The first part
There MUST be ONLY ONE digit to the left of the decimal. Between $1.00 but less than $10.00
Examples: 3.45, 1.320 Non-Examples: 11.56, .0565
We must move the decimal in order to meet this rule.
Write the width of the universe in scientific notation
210,000,000,000,000,000,000,000 miles
Where is the decimal point now?
Where would you put the decimal to make this number be between 1 and 10?
Write the width of human hair in scientific notation
.0018 cm Where is the decimal point now?
Where would you put the decimal to make this number be between 1 and 10?
If you do not see a decimal point in a number, it is understood to be at the end of the number.
Reading Math
Helpful Hint #1
23 = 23.0
Positive Exponent
•What you notice about the exponent and the number of zeroes?
Negative Exponent
•What do you notice about the exponent and the number of zeroes?
II. Powers of 10
Conclusion?
Positive Exponent
Move decimal point to the RIGHT
Exponent corresponds with the amount of zeroes after 1
Negative Exponent
Move the decimal point to the LEFT
Exponent minus 1 corresponds with the amount of zeroes before 1
Find the value of each power of 10.
a. 10–2 c. 1010 b. 105
10,000,000,000100,0000.01
Start with 1.0 and move the decimal point two places to the left.
Start with 1.0 and move the decimal point five places to the right.
Start with 1.0 and move the decimal point ten places to the right.
YOU TRY!
Write each number as a power of 10
A. 1,000,000
The decimal point is six places to the right of 1, so the exponent is 6.
B. 0.0001 C. 1,000
The decimal point is four places to the left of 1, so the exponent is –4.
The decimal point is three places to the right of 1, so the exponent is 3.
Writing Powers
III. Puttingit all together!Scientific to Standard
Steps 1. Look at
EXPONENT Positive=Right Negative=Left 2. Move decimal
that direction3. Empty spaces fill
in with a zero!
Just Watch!Write in Standard form
3
102.34 x
1. Positive exponent= move DECIMAL to right
2. 2340.0
Standard form refers to the usual way that numbers are written—not in scientific notation.
Reading Math
Helpful Hint #1
You Try!!!
1. 23.5 x
2. .04 x
3. 9.2 x
4. .007 x
5
102
10
4
10
4
10
To the left, to the left….?
To the right, to the right….?
IV. Standard to Scientific
Steps: 1. Write the number
with only one number to the left of the decimal
2. Power of 10:How do I get back to the
original decimal? Right=Positive Left=Negative 3. Put it all together!
Just Watch! Write in Scientific
Notation2345
1. 2.3452. Move to right to get
to 2345.3 to the right=
3. 2.345 x
3
103
10
You try!!!!!
1. .0023
2. 233456
3. .0001234
4. 12345
Stuck?Got
notes!
Any Questions?!?!?!?!
WORKSHEET 1-3 EXPONENTS
Homework