Transcript Unit 7

Jeopardy
Exponential Scientific Positives & Expression Hodgepodge
Notation Notation Negative &Forms
Q $100
Q $100
Q $100
Q $100
Q $100
Q $200
Q $200
Q $200
Q $200
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Q $300
Q $300
Q $300
Q $300
Q $300
Q $400
Q $400
Q $400
Q $400
Q $400
Q $500
Q $500
Q $500
Q $500
Q $500
Final Jeopardy
$100 Exponential Notation
What is the name of the 4 and the 3 in this
expression?
4
$100 Exponential Notation
4=The Exponent
3=The Base
(Big Number …base)
$200 Exponential Notation
What does the base number tell us?
$200 Exponential Notation
The number that is being
multiplied over and over.
3³ tells us that we are
multiplying by 3.
$300 Exponential Notation
What does the exponent tell us?
$300 Exponential Notation
How many times the base is
multiplied or used as a factor.
3³ tells us we are multiplying 3,
3 times ore 3*3*3
$400 Exponential Notation
What is another way to say
9³?
$400 Exponential Notation
9 to the third power
Or 9*9*9
Or 729
$500 Exponential Notation
What is the value of this expression?
5
5
$500 Exponential Notation
5*5*5*5*5=3,125
5*5=25
25*5=125
125*5= 625
625*5= 3,125
$100 Scientific Notation
What types of numbers does scientific
notation combine?
$100 Scientific Notation
A standard number and a power of
10.
$200 Scientific Notation
What is a power of 10?
$200 Scientific Notation
A number in exponential notation
that has 10 as the base.
EXAMPLE:10²
$300 Scientific Notation
What is the rule for solving problems
Using scientific notation?
$300 Scientific Notation
•“Stick” down the standard number and
•Attach the zeros…
•The exponent tells how many.
5
Example: 3x10 = 300,000
$400 Scientific Notation
11
What is the value of 7 *10 ?
$400 Scientific Notation
700,000,000,000
700 Billion
$500 Scientific Notation
8
What is the value of 3.5 * 10 ?
$500 Scientific Notation
350,000,000
Take off one zero because there is one
digit after the decimal point.
$100
Positive & Negative
-234 is an example of a what?
$100 Positive
& Negative
A negative number
$200 Positive & Negative
Every negative number is less than this
Every positive number is greater than this
$200 Positive & Negative
ZERO
$300 Positive & Negative
Mr. Negative
Mr. Positive
Mr. Positive & Mr. Negative
are having a battle. Mr.
Positive throws positives (+)
and Mr. Negative throws out
Negatives (-).
WHO WINS THIS FIGHT
AND BY HOW MUCH?
- -- - --
+ +
+ +
+ +
$300 Positive & Negative
Mr. Negative wins by 2.
-8 + 6= -2
$400 Positive & Negative
What does same-change-change mean?
$400 Positive & Negative
When subtracting positive & negative
numbers….
Keep the first number the SAME
CHANGE the operation
CHANGE the sign of the second number
Example: 3 – (-6) = ___
3+ (+6)= _______
$500 Positive & Negative
Use < > or = to solve the following
Examples.
A.) -4 ____ 3
B.) 37 ____ -44
C.) 24/4 ____ 6- (-7)
D.) -5 + (-5) ____ -10
$500 Positive & Negative
A.) -4 < 3
B.) 37 > -44
C.) 24/4 < 6- (-7)
D.) -5 + (-5) = -10
$100 Expressions & Forms
What form is this number written in?
80 billion
$100 Expressions & Forms
Number and word form
$200 Expressions & Forms
Is this a number sentence?
Why or why not?
2*10³
$200 Expressions & Forms
No, it is not a number sentence because
It doesn’t have an equal sign or inequality
sign (< >).
$300 Expressions & Forms
What form is this number written in?
20,000+3,000+500+60+8
$300 Expressions & Forms
Expanded form
$400 Expressions & Forms
Is this number sentence true? Why or why not?
14 +(-25) > -50
$400 Expressions & Forms
Yes, because…
14+ (-24) = -10 and -10 > -55
$500 Expressions & Forms
Insert the parentheses to make this
number sentence true.
-5+8*12= 36
$500 Expressions & Forms
(-5+8)*12= 36
$100
Hodgepodge
What does “Please Excuse My Dear Aunt Sally”
represent?
$100 Hodgepodge
Please – Parentheses
Excuse – Exponent
My- Multiply
Dear- Divide
Aunt – Add
Sally - Subtract
$200 Hodgepodge
What is the answer to this number
sentence?
6 * (3 +2²) ÷ 2 =________
$200 Hodgepodge
21
$300 Hodgepodge
What do you do if you are left with
Only addition and subtraction OR
Only multiplication and division?
Example:
6 * 4 ÷ 2= _______
$300 Hodgepodge
Work left to right!
6 * 4 ÷ 2= _______
$400 Hodgepodge
Write this number using powers of 10
1,000,000,000,000
$400 Hodgepodge
12
10
$500 Hodgepodge
What is the value of this
expression?
3*3*3*3*3*3*3=?
$500 Hodgepodge
2,187
Final Jeopardy
And odd number, plus an odd
number always gives you what?
*HINT: Try a few examples.
Final Jeopardy Answer
An even number!
Try it!
1+1 = 2
3+3=6
5+5=10
11+11=22