Name:________________________________________________________________________________Date:_____/_____/__________
Quiz Day Brain blitz/ warm-up
1) Convert in order to fill-in the missing parts (REDUCE fractions!):
SHOW YOUR WORK!
Fraction
Decimal
Percent
P to D:
Move 2 to
the left!
2.5%
D to F:
READ it, WRITE it, REDUCE it!
0.16
D to P:
Move 2 to
the right!
F to D:
Take the TOP #, Divide
it by the BOTTOM #!
𝟐
𝟗
Strategy #1: Convert everything to DECIMALS!
2) Place a “greater-than” sign
or a “less-than” sign in the
following blanks:
33% ____ 0.33
90% _____
3) Circle the answer that makes
the following true:
0.495 < _________ <
9
100
1
2
A) 0.5
B) 49.9%
C) 49.9
Strategy #2: Start with the WHOLE #’s, move on to the TENTHS, etc.
4) Order the following in descending order:
1
5
Answer:
200%
0.15
0.0285
Today’s lesson . . .
What:
Exponents
Why:
To evaluate #’s with both positive and
negative exponents and to analyze the
powers of 10.
4
5
exponent
_______________________
base number
_____________________________
How do you say the above power out
loud?
raised to the power of four
“Five ______________________________________
.”
Examples:
Re-write the following expressions as
repeated multiplication:
POWER
REPEATED MULTIPLICATION
1.
33
3x3x3
2.
65
6x6x6x6x6
3.
74
7x7x7x7
4.
97
9x9x9x9x9x9x9
Evaluate the following positive exponent
examples:
1.
3.
43
2.
25
4 x4 x4
2 x2 x2x 2x2
64
32
83
8 x8 x8
512
4.
54
5 x5 x5x 5
625
Powers of 10:
1010=
105=
10,000,000,000
100,000
109=
1,000,000,000
104=
10,000
Study the patterns.
How can you finish
this table without
multiplying?
100=
1
10-1=
0.1 or
108=
100,000,000
103=
107=
102=
10-3=
10,000,000
100
0.001 or
106=
101=
10-4=
1,000,000
1,000
10
Any # raised to the
power of zero is _____!
ONE
𝟏
𝟏𝟎
10-2=
0.01 or
0.0001 or
𝟏
𝟏𝟎𝟎
𝟏
𝟏,𝟎𝟎𝟎
𝟏
𝟏𝟎,𝟎𝟎𝟎
Powers of 10 Video . . .
Check out how “powerful” they really are!
What about other negative exponents?
Positive exponents make numbers
LARGER, while negative exponents make
smaller (less than 1)
numbers _________________________________
!!!
Negative exponents DO NOT make the base #
NEGATIVE!!!!!!!!!
Negative exponents DO NOT make the base #
NEGATIVE!!!!!!!!!
Negative exponents DO NOT make the base #
NEGATIVE!!!!!!!!!
Guided practice:
3-2
1.
𝟏
𝟑
𝒙
𝟏
𝟏
=
𝟑
𝟗
2.
2-4
𝟏 𝟏 𝟏
𝒙 𝒙
𝟐 𝟐 𝟐
𝟏
𝟏
𝒙 =
𝟐
𝟏𝟔
On your own:
5-3
3.
𝟏
𝟓
5.
𝒙
𝟏
𝟏
𝟏
𝒙 =
𝟓
𝟓
𝟏𝟐𝟓
10-5
𝟏
𝟏𝟎𝟎,𝟎𝟎𝟎
8-2
4.
𝟏
𝟖
6.
𝒙
𝟏
𝟏
=
𝟖
𝟔𝟒
2-2 + 50
1
𝟏
𝟒
IXL HOmework
I.2 - Evaluate Exponents
I.7 - Evaluate Negative Exponents
EARN a Smart Score of 70!
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(You won’t receive credit for doing your homework if you are not logged in!)
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•
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EARN a Smart Score of 70 on the assigned skill(s),
then you are done!
END OF LESSON
The next slides are student copies of the notes for this
lesson. These notes were handed out in class and
filled-in as the lesson progressed.
Math-7 NOTES
NAME:
DATE: ______/_______/_______
What: Exponents
Why: To evaluate #’s with both positive and negative exponents and to analyze the
powers of 10.
54
________
________
How do you say the above power out loud?
“Five ______________________________________________________________________________.”
Examples:
Re-write the following expressions as repeated multiplication:
POWER
1.
33
2.
65
3.
74
4.
97
REPEATED MULTIPLICATION
Evaluate the following positive exponent examples:
1.
43
2.
25
3.
83
4.
54
Study the patterns. How
can you finish this table
without multiplying?
Powers of 10:
1010= 10,000,000,000
105= __________________
100= __________________
109= 1,000,000,000
104= __________________
10-1= __________________
108= 100,000,000
103= __________________
10-2= __________________
107= __________________
102= __________________
10-3= __________________
106= __________________
101= __________________
10-4= _________________
Any # raised to the
power of zero is _____
What about other negative exponents?
Positive exponents make numbers LARGER, while negative exponents make
numbers _________________________________ !!!
Negative exponents DO NOT make the base # NEGATIVE!!!!!!!!!
1.
3-2
2.
2-4
3.
5-3
4.
8-2
5.
10-5
6.
2-2 + 50
NAME:________________________________________________________________________________DATE: _____/_____/__________
INDIVIDUAL PRACTICE
“Exponents/Powers of 10”
Re-write the following powers using repeated multiplication:
1. 124 = __________________________________________________________________________________
2. 85 = ___________________________________________________________________________________
3. 256 = __________________________________________________________________________________
Evaluate:
4.
73
5.
26
6.
142
7.
34
8.
What is the value of any number raised to the power of zero? ___________________
9.
In your own words, describe the difference between numbers with positive
exponents and numbers with negative exponents.________________________________
________________________________________________________________________________________
10. Using the pattern established for powers of 10, evaluate the following (do not
need to multiply):
1012 = _______________________________________________________________________
Evaluate:
11.
5-2
12.
4250
13.
10-3
14.
3-3 + 140
continued…
SOL PREP . . .
1)
Which of the choices correctly
represents 10 -5 ?
A.
100,000
B.
- 100,000
1
C.
2)
3)
4)
Which of the choices correctly
represents 10 -3 ?
Which of the choices correctly
represents 10 -8 ?
Which of the choices correctly
represents 0.0001 ?
100,000
-
A.
10 x 10 x 10
B.
1
x
1
10
x
1
10
C.
(-10) x (-10) x (-10)
D.
(-
A.
0.8
B.
0.000000001
C.
0.00000001
D.
-0.00000001
A.
1
1
10
x
10
) x (-
1
10
1
10
x
1
10
)
1
10
1
D.
1,000
1,000
:
1
1
𝑥
10
10
-100
) x (-
100
-
-2
x
1
10
1
C.
5) Circle EACH of the choices that represent 10
0.01
100,000
10
B.
1
100
1
D.
- 0.01
−
1
1
𝑥 −
10
10