Show Me With The Money

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(No Transcript)
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Show Me With The Money

• Presented by
• A. Dávila, Ed.D.

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Scientific Notation andStandard Form

• Created by
• Dr. A. Dávila

4

• Scientific Notation a way of writing a number
  as a product of
• two factors

x
5

• Scientific Notation a way of writing a number
  as a product of
• two factors

The first factor has exactly one nonzero digit to
the left of the decimal point
x
6

• Scientific Notation a way of writing a number
  as a product of
• two factors

The first factor has exactly one nonzero digit to
the left of the decimal point (less then 10 but
greater than 1)
The second factor is a power of ten
10
x
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Place Value Review
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The value increases 10 times more than the
previous value.
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Ones
1
The ones is the starting point (no powers of ten)
0
10
10
multiply by 10
The value increases 10 times more than the
previous value.
11
Tens
10
12
Tens
10
from the ones place to the tens place (10 times
more)
1 x 10
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Tens
10
1 x 10
1
10
One power of ten
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Various methods of representing the Tens Place
Tens
10
1
10
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multiply by 10
The value increases 10 times more than the
previous value.
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Hundreds
100
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Hundreds
from the tens to the hundreds place (10 times
more)
100
10 x 10
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Hundreds
100
10 x 10
2
10
two powers of ten
19
Various methods of representing the Hundreds
Place
Hundreds
100
2
10
20
multiply by 10
As you continue to the left (higher value
sections) in the place value chart, the value
increases 10 times more than the previous value.
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Thousands
1,000
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Thousands
1,000
from the hundreds to the thousands place (10
times more)
10 0 x 10
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Thousands
1,000
10 0 x 10
10 x 10 x 10
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Thousands
1,000
10 0 x 10
10 x 10 x 10
3
10
three powers of ten
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Various methods of representing the Thousands
Place
Thousands
1,000
3
10
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multiply by 10
As you continue to the left (higher value
sections) in the place value chart, the value
increases 10 times more than the previous value.
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Ten-thousands
10,000
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Ten-thousands
10,000
1000 x 10
from the thousand to the ten thousands place (10
times more)
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Ten-thousands
10,000
1000 x 10
100 x 10 x 10
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Ten-thousands
10,000
1000 x 10
100 x 10 x 10
10 x 10 x 10 x 10
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Ten-thousands
10,000
1000 x 10
100 x 10 x 10
10 x 10 x 10 x 10
10
4
four powers of ten
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Various methods of representing the
Ten-thousands Place
Ten-thousands
10,000
10
4
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multiply by 10
As you continue to the left (higher value
sections) in the place value chart, the value
increases 10 times more than the previous value.
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One Hundred Thousands
100,000
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One Hundred Thousands
100,000
from the ten thousands to the hundreds thousands
place (10 times more)
10000 x 10
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One Hundred Thousands
100,000
10000 x 10
1000 x 10 x 10
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One Hundred Thousands
100,000
10000 x 10
1000 x 10 x 10
100 x 10 x 10 x 10
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One Hundred Thousands
100,000
10000 x 10
1000 x 10 x 10
100 x 10 x 10 x 10
10 x 10 x 10 x 10 x 10
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One Hundred Thousands
100,000
10000 x 10
1000 x 10 x 10
100 x 10 x 10 x 10
10 x 10 x 10 x 10 x 10
10
5
five powers of ten
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Various methods of representing the One Hundreds
Thousands place
One Hundred Thousands
100,000
10
5
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W H O L E N U M B E R S
0
10
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W H O L E N U M B E R S
0
1
10
10
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W H O L E N U M B E R S
0
1
2
10
10
10
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W H O L E N U M B E R S
0
1
2
3
10
10
10
10
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W H O L E N U M B E R S
0
1
2
3
4
10
10
10
10
10
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Powers of 10 for Whole Numbers
0
1
2
3
4
10
5
10
10
10
10
10
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Powers of 10for Decimal Places/Fractional Parts
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• Decimal Fraction a fraction in which the
  denominator is some power of ten

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divide by 10
As you move to the left on the place value chart
the value decreases 10 times.
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This is one-tenth. If we relate it to the USA
monetary, it has a value of 10.
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Tenths
0.1
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Tenths
0.1
from the ones to the tenths place (10 times less)
1 10
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Tenths
0.1
1 10
1
1 x
10
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Tenths
0.1
1 10
1
1 x
10
The denominator is power of ten
1
10
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Tenths
0.1
1 10
1
1 x
10
1
10
10
-1
one power of ten (denominator)
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Various methods of representing one-tenth
Tenths
0.1
1
10
10
-1
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This is one-hundredths. If we relate it to the
USA monetary, it has a value of 1.
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divide by 10
The value decreases 10 times.
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Hundredths
0.01
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Hundredths
0.01
from the tenths to the hundredths place (10
times less)
1
10
10
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Hundredths
0.01
1
10
10
1
1
x
10 10
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Hundredths
0.01
1
10
10
1
1
x
10 10
1
2
10
two powers of ten (denominator)
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Hundredths
0.01
1
10
10
1
1
x
10 10
1
2
10
-2
10
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Hundredths
0.01
1
100
1
2
10
-2
10
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divide by 10
As you move to the left on the place value chart
the value decreases 10 times.
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This is one-tenth. If we relate it to the USA
monetary, it has a value of 10.
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Thousandths
0.001
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Thousandths
0.001
1
from the hundredths to the thousandths place (10
times less)
10
100
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Thousandths
0.001
1
10
100
1
1
x
10
100
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Thousandths
0.001
1
10
100
1
1
x
10
100
1
10 x 10 x 10
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Thousandths
0.001
1
10
100
1
1
x
10
100
1
10 x 10 x 10
1
three powers of ten (denominator)
3
10
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Thousandths
0.001
1
10
100
1
1
x
10
100
1
3
10
10
-3
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Thousandths
0.001
1
100
1
3
10
10
-3
74
-3
10
F R A C T I O N A L
PARTS
75
-3
-2
10
10
F R A C T I O N A L
PARTS
76
-3
-2
-1
10
10
F R A C T I O N A L
10
PARTS
77
Write in standard form
2 x 10
5
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Write in standard form
5
10
2 x 10
5
79
Write in standard form
5
10
2 x 10
5
2 x 100000
80
Write in standard form
2 x 10
5
2 x 100000
2
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Write in standard form
2 x 10
5
2 x 100000
20
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Write in standard form
2 x 10
5
2 x 100000
200
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Write in standard form
2 x 10
5
2 x 100000
2000
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Write in standard form
2 x 10
5
2 x 100000
20000
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Write in standard form
2 x 10
5
2 x 100000
200000
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Write in standard form
3.1 x 10
4
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Write in standard form
4
10
3.1 x 10
4
88
Write in standard form
4
10
3.1 x 10
4
3.1 x 10000
89
Write in standard form
3.1 x 10
4
3.1 x 10000
3.1
90
Write in standard form
3.1 x 10
4
3.1 x 10000
31.
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Write in standard form
3.1 x 10
4
3.1 x 10000
310.
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Write in standard form
3.1 x 10
4
3.1 x 10000
3100.
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Write in standard form
3.1 x 10
4
3.1 x 10000
31000.
94
Write in standard form
7.05 x 10
-3
95
-3
10
Write in standard form
7.05 x 10
-3
96
-3
10
Write in standard form
7.05 x 10
-3
_ 1 _
7.05 x
1000
97
-3
10
Write in standard form
7.05 x 10
-5
_ 1 _
7.05 x
1000
7.05
98
-3
10
Write in standard form
7.05 x 10
-3
_ 1 _
7.05 x
1000
.705
99
-3
10
Write in standard form
7.05 x 10
-3
_ 1 _
7.05 x
1000
.0705
100
-3
10
Write in standard form
7.05 x 10
-3
_ 1 _
7.05 x
1000
.00705
101
Write in scientific form
5,200,000
102

• Scientific Notation a way of writing a number
  as a product of
• two factors

x
103

• Scientific Notation a way of writing a number
  as a product of
• two factors

The first factor has exactly one nonzero digit to
the left of the decimal point
x
104

• Scientific Notation a way of writing a number
  as a product of
• two factors

The first factor has exactly one nonzero digit to
the left of the decimal point
The second factor is the necessary power of ten
10
x
105
Write in scientific form
A number greater than or equal to one
106
Write in scientific form
A number greater than or equal to one
x 10
Power of 10
107
Write in scientific form
A number greater than or equal to one
x 10
Exponent
Power of 10
108
0
1
2
3
4
5
10
10
10
10
10
10
109
Write in scientific form
A number greater than or Equal to one
x 10
Exponent
Power of 10
0
1
2
3
4
5
10
10
10
10
10
10
110
Write in scientific form
A number greater than or equal to one
5.2
x 10
Exponent
Power of 10
0
1
2
3
4
5
10
10
10
10
10
10
111
Write in scientific form
A number greater than or equal to one
5.2
5
x 10
Exponent
Power of 10
0
1
2
3
4
5
10
10
10
10
10
10
112
Write in scientific form
0.0016
113
Write in scientific form
A number greater than or Equal to one
x 10
Exponent
Power of 10
114
-2
-3
-4
10
10
-1
10
10
Ten Thousandths
115
Write in scientific form
A number greater than or Equal to one
-2
-3
-4
10
10
-1
10
10
Ten Thousandths
116
Write in scientific form
A number greater than or Equal to one
1.6
x 10
Exponent
Power of 10
-2
-3
-4
10
10
-1
10
10
Ten Thousandths
117
Write in scientific form
A number greater than or Equal to one
1.6
-3
x 10
Exponent
Power of 10
-2
-3
-4
10
10
-1
10
10
Ten Thousandths
118
Write in scientific form
0.0216
119
Write in scientific form
A number greater than or Equal to one
x 10
Exponent
Power of 10
120
Write in scientific form
A number greater than or Equal to one
121
Write in scientific form
A number greater than or Equal to one
-2
-3
10
-1
10
10
Ten Thousandths
122
Write in scientific form
A number greater than or Equal to one
-2
-3
10
-1
10
10
Ten Thousandths
123
Write in scientific form
A number greater than or Equal to one
x 10
2.16
Exponent
Power of 10
-2
-3
10
-1
10
10
Ten Thousandths
124
Write in scientific form
A number greater than or Equal to one
-2
x 10
2.16
Exponent
Power of 10
-2
-3
10
-1
10
10
Ten Thousandths
125
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