show me with the money presented by a. dávila, ed.d
TRANSCRIPT
Show Me With The Money
Presented by
A. Dávila, Ed.D.
Scientific Notation andStandard Form
Created by
Dr. A. Dávila
Scientific Notation: a way of writing a number as a product of
two factors
x
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
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
x 10
Place Value Review
The value increases 10 times more than the previous value.
100
Ones1The ones
is the starting point (no powers of ten)
The value increases 10 times more than the previous value.
multiply by 10
Tens10
Tens101 x 10
from the ones placeto the tens place(10 times more)
Tens
101
101 x 10
One power of ten
Tens
101
10
Various methods of representing the Tens Place
The value increases 10 times more than the previous value.
multiply by 10
Hundreds100
Hundreds
10 x 10
100from the tensto the hundredsplace(10 times more)
102
10 x 10
100Hundreds
two powers of ten
Hundreds
102
100
Various methods of representing the Hundreds Place
As you continue to the left (higher value sections) in the place value chart, the value increases 10 times more than the previous value.
multiply by 10
1,000Thousands
10 0 x 10
1,000Thousands
from the hundredsto the thousands place (10 times more)
10 0 x 10
1,000
10 x 10 x 10
Thousands
10 3
10 0 x 10
1,000
10 x 10 x 10
Thousands
three powers of ten
10 3
1,000Thousands
Various methods of representing the Thousands Place
As you continue to the left (higher value sections) in the place value chart, the value increases 10 times more than the previous value.
multiply by 10
Ten-thousands10,000
Ten-thousands
1000 x 10
10,000from the thousandto the ten thousands place (10 times more)
Ten-thousands
1000 x 10
10,000
100 x 10 x 10
Ten-thousands
1000 x 10
10,000
100 x 10 x 10
10 x 10 x 10 x 10
Ten-thousands
104
1000 x 10
10,000
100 x 10 x 10
10 x 10 x 10 x 10
four powers of ten
Ten-thousands
104
10,000
Various methods of representing the Ten-thousands Place
As you continue to the left (higher value sections) in the place value chart, the value increases 10 times more than the previous value.
multiply by 10
100,000One Hundred Thousands
100,000One Hundred Thousands
10000 x 10from the ten thousandsto the hundreds thousands place (10 times more)
100,000One Hundred Thousands
1000 x 10 x 10
10000 x 10
100,000One Hundred Thousands
100 x 10 x 10 x 10
1000 x 10 x 10
10000 x 10
10 x 10 x 10 x 10 x 10
100,000One Hundred Thousands
100 x 10 x 10 x 10
1000 x 10 x 10
10000 x 10
105
10 x 10 x 10 x 10 x 10
100,000One Hundred Thousands
100 x 10 x 10 x 10
1000 x 10 x 10
10000 x 10
five powers of ten
105
100,000One Hundred Thousands
Various methods of representing the One Hundreds Thousands place
W H O L E N U M B E R S
100
W H O L E N U M B E R S
10101 0
W H O L E N U M B E R S
1010110
2 0
W H O L E N U M B E R S
1010110
2103 0
W H O L E N U M B E R S
1010110
2103104 0
100
10110
2103104105
Powers of 10 for Whole Numbers
Powers of 10for Decimal Places/Fractional
Parts
Decimal Fraction: a fraction in which the denominator is some
power of ten
As you move to the left on the place value chart the value decreases 10 times.
divide by 10
This is one-tenth. If we relate it to the USA monetary, it has a value of 10¢.
0.1Tenths
0.11 ÷ 10
Tenths
from the onesto the tenths place (10 times less)
10
0.1
1
1 ÷ 10
Tenths
1 x
10
0.1
1
1 ÷ 10
Tenths
1 x
101The denominator
is power of ten
10
0.1
1
1 ÷ 10
Tenths
1 x
101
10-1 one power of ten(denominator)
Tenths
10-1
0.1
Various methods of representing one-tenth
101
This is one-hundredths. If we relate it to the USA monetary, it has a value of 1¢.
The value decreases 10 times.
divide by 10
Hundredths0.01
÷ 10101
Hundredths0.01
from the tenthsto the hundredths place (10 times less)
10 10
÷ 10101
1 1x
Hundredths0.01
101
2
10 10
÷ 10101
1 1x
Hundredths0.01
two powers of ten(denominator)
10-2
101
2
10 10
÷ 10101
1 1x
Hundredths0.01
10
-2
1001
Hundredths0.01
101
2
As you move to the left on the place value chart the value decreases 10 times.
divide by 10
This is one-tenth. If we relate it to the USA monetary, it has a value of 10¢.
0.001Thousandths
0.001÷ 10
1001
Thousandths
from the hundredthsto the thousandths place (10 times less)
0.001
101
÷ 101001
1001 x
Thousandths
0.001
101
÷ 101001
10 x 10 x 101
1001 x
Thousandths
0.001
101
÷ 101001
10 x 10 x 101
1001 x
Thousandths
101
3 three powers of ten(denominator)
10 -3
0.001
101
÷ 101001
1001 x
Thousandths
101
3
10 -3
0.001
1001
Thousandths
101
3
F
R
A
C
T
I
O
N
A
L
PARTS
10-3
F
R
A
C
T
I
O
N
A
L
PARTS
10-2
10-3
F
R
A
C
T
I
O
N
A
L
PARTS
10-1
10-2
10-3
Write in standard form
2 x 10 5
Write in standard form
2 x 10 5
105
Write in standard form
2 x 10 5
2 x 100000
105
Write in standard form
2
2 x 10 5
2 x 100000
Write in standard form
20
2 x 10 5
2 x 100000
Write in standard form
200
2 x 10 5
2 x 100000
Write in standard form
2000
2 x 10 5
2 x 100000
Write in standard form
20000
2 x 10 5
2 x 100000
Write in standard form
200000
2 x 10 5
2 x 100000
Write in standard form
3.1 x 104
Write in standard form
3.1 x 104
104
Write in standard form
3.1 x 104
3.1 x 10000
104
Write in standard form
3.1
3.1 x 104
3.1 x 10000
Write in standard form
31.
3.1 x 104
3.1 x 10000
Write in standard form
310.
3.1 x 104
3.1 x 10000
Write in standard form
3100.
3.1 x 104
3.1 x 10000
Write in standard form
31000.
3.1 x 104
3.1 x 10000
Write in standard form
7.05 x 10 -3
Write in standard form
7.05 x 10 -3
10-3
Write in standard form
7.05 x 10 -3
7.05 x
10-3
1000_ 1 _
Write in standard form
7.05
7.05 x 10 -5
7.05 x 1000_ 1 _
10-3
Write in standard form
.705
7.05 x 10 -3
7.05 x 1000_ 1 _
10-3
Write in standard form
.0705
7.05 x 10 -3
7.05 x 1000_ 1 _
10-3
Write in standard form
.00705
7.05 x 10 -3
7.05 x 1000_ 1 _
10-3
Write in scientific form
5,200,000
Scientific Notation: a way of writing a number as a product of
two factors
x
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
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
x 10
Write in scientific formA number greater than or equal to one
Write in scientific form
x 10 Power of 10
A number greater than or equal to one
Write in scientific form
x 10 Power of 10
A number greater than or equal to one
Exponent
100
101
102
103
104
105
Write in scientific form
100
101
102
103
104
105
x 10 Power of 10
A number greater than or Equal to one
Exponent
Write in scientific form
100
101
102
103
104
105
x 10 Power of 10
A number greater than or equal to one
Exponent5.2
Write in scientific form
100
101
102
103
104
105
x 10 Power of 10
A number greater than or equal to one
Exponent5.2 5
0.0016Write in scientific form
Write in scientific form
x 10 Power of 10
A number greater than or Equal to one
Exponent
10-1 10-2
10-3
TenThousandths
10-4
10-1 10-2
10-3
TenThousandths
10-4
Write in scientific formA number greater than or Equal to one
10-1 10-2
10-3
TenThousandths
10-4
Write in scientific form
x 10 Power of 10
A number greater than or Equal to one
Exponent1.6
10-1 10-2
10-3
TenThousandths
10-4
Write in scientific form
x 10 Power of 10
A number greater than or Equal to one
Exponent1.6 -3
0.0216Write in scientific form
Write in scientific form
x 10 Power of 10
A number greater than or Equal to one
Exponent
Write in scientific formA number greater than or Equal to one
10-1 10-2
10-3
Write in scientific formA number greater than or Equal to one
TenThousandths
10-1 10-2
10-3
Write in scientific formA number greater than or Equal to one
TenThousandths
10-1 10-2
10-3
Write in scientific form
x 10 Power of 10
A number greater than or Equal to one
Exponent
TenThousandths
2.16
10-1 10-2
10-3
Write in scientific form
x 10 Power of 10
A number greater than or Equal to one
Exponent
2.16-2
TenThousandths
