10
A Math LookTM
SANDBOX 3
Drag and Drop Place Value Chart with Apples, Chart, Bills and Symbols P-n, Y-y, Obelus ÷, Cardinal, Ordinal, Notation
©2013 Author: Renee Hamilton-Newman
Standard Form
Scientific Notation
123,456,789.
1.23456789 ⋅ 108
Exponential Notation
Expanded Form
Place Value Expanded Form
1 ⋅ 108
1 ⋅ 100,000,000.
100,000,000.
+ 20,000,000.
+ 3,000,000.
+ 400,000.
+ 50,000.
+ 6,000.
+ 700.
+ 80.
+ 9.
+ 2 ⋅ 107
2 ⋅ 10,000,000.
+ 3 ⋅ 106
3 ⋅ 1,000,000.
+ 4 ⋅ 105
4 ⋅ 100,000.
+ 5 ⋅ 104
5 ⋅ 10,000.
+ 6 ⋅ 103
6 ⋅ 1,000.
+ 7 ⋅ 102
7 ⋅ 100.
+ 8 ⋅ 101
8 ⋅ 10.
+ 9 ⋅ 100
9 ⋅ 1.
da
da
da
da
da
8 × 7 = 56 8 ⋅ 7 = 56 8(7) = 56 8 * 7 = 56
56 ÷ 8 = 7 56/8 = 7 8 56 56 8
56 ÷ 7 = 8 56/7 = 8 7 56 56 7
7 × 8 = 56 7 ⋅ 8 = 56 7(8) = 56 7 * 8 = 56
= 7
= 8
Practice Many Ways
10
10
10
10
10
10
10
10
10
10
10
10
100
10
100
10
100
10
100
.1
100
.01
.001
ten
one
tenth
million
trillion
trillion
million
billion
trillion
billion
million
billion
thousand
hundred
thousand
thousand
hundredth
thousandth
101
103
105
107
1013
109
10-1
10-3
1011
1010
1012
100
102
104
106
108
1014
10-2
da
hecto
deca
uni
deci
centi
milli
kilo
kilo
kilo
mega
mega
mega
giga
giga
giga
tera
tera
tera
100
ten
one
tenth
million
trillion
trillion
million
billion
trillion
billion
million
billion
thousand
hundred
thousand
thousand
hundredth
thousandth
101
103
105
107
1013
109
10-1
10-3
1011
1010
1012
100
102
104
106
108
1014
10-2
10
10
100
10
10
.01
10
100
100
100
.1
.001
da
centi
uni
giga
mega
milli
kilo
deci
giga
giga
deca
tera
tera
mega
hecto
tera
mega
kilo
kilo
10
10
100
10
100
10
100
10
100
.1
100
.01
.001
trillion
101
103
105
107
1013
109
10-1
10-3
1011
1010
1012
100
102
104
106
108
1014
10-2
ten
tenth
one
thousand
hundredth
thousand
thousand
billion
million
billion
thousandth
million
hundred
billion
trillion
trillion
da
hecto
deca
uni
deci
centi
milli
kilo
kilo
kilo
mega
mega
mega
giga
giga
giga
tera
tera
tera
million
10
10
100
10
100
10
100
10
100
.1
100
.01
.001
ten
one
tenth
million
trillion
trillion
million
billion
trillion
billion
million
billion
thousand
hundred
thousand
thousand
hundredth
thousandth
1014
103
giga
106
1011
104
107
1012
100
102
1010
10-1
10-2
giga
kilo
tera
109
deca
kilo
105
mega
giga
tera
da
1013
tera
10-3
mega
deci
uni
101
centi
108
milli
hecto
mega
kilo
10
10
100
10
100
10
100
10
100
.1
100
.01
.001
da
centi
uni
giga
mega
milli
kilo
deci
giga
giga
deca
tera
tera
mega
hecto
tera
mega
kilo
kilo
ten
one
tenth
billion
trillion
billion
million
million
million
billion
trillion
trillion
hundred
thousand
thousand
thousand
hundredth
thousandth
101
103
105
107
1013
109
10-1
10-3
1011
1010
1012
100
102
104
106
108
1014
10-2
108
Scientific Notation:
put a point after the highest-value digit to isolate it
highest-value digit x power of 10
The division symbol is called an obelus.
obelus - Greek pointed pillar / obelisk
# of parts you have (numerator)
The pointed pillar erected to the sun god, represented man's relationship to god. The obelus represents the relationship between the whole and the parts. Point means part.
# of parts a whole was broken into (denominator) nom means name The NAME of the fraction or relationship.
Cardinal or Ordinal?
Cardinal or Ordinal?
Drag and drop.
In 2024, we had no school for fifteen snow days and four cold days.
It's our fifth snow day of 2025!
Write each word ten times.
Blacks were second-class citizens.
Bella was first to finish her lunch.
I saw six sleds on the snow hill.
Rep. Andy Ogles proposed changing the 22nd Constitutional Ammendment to allow Trump a third term.
Joe needs four new winter tires.
I made thirty valentines for my class.
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A Math Look
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Transcript
10
A Math LookTM
SANDBOX 3
Drag and Drop Place Value Chart with Apples, Chart, Bills and Symbols P-n, Y-y, Obelus ÷, Cardinal, Ordinal, Notation
©2013 Author: Renee Hamilton-Newman
Standard Form
Scientific Notation
123,456,789.
1.23456789 ⋅ 108
Exponential Notation
Expanded Form
Place Value Expanded Form
1 ⋅ 108
1 ⋅ 100,000,000.
100,000,000.
+ 20,000,000.
+ 3,000,000.
+ 400,000.
+ 50,000.
+ 6,000.
+ 700.
+ 80.
+ 9.
+ 2 ⋅ 107
2 ⋅ 10,000,000.
+ 3 ⋅ 106
3 ⋅ 1,000,000.
+ 4 ⋅ 105
4 ⋅ 100,000.
+ 5 ⋅ 104
5 ⋅ 10,000.
+ 6 ⋅ 103
6 ⋅ 1,000.
+ 7 ⋅ 102
7 ⋅ 100.
+ 8 ⋅ 101
8 ⋅ 10.
+ 9 ⋅ 100
9 ⋅ 1.
da
da
da
da
da
8 × 7 = 56 8 ⋅ 7 = 56 8(7) = 56 8 * 7 = 56
56 ÷ 8 = 7 56/8 = 7 8 56 56 8
56 ÷ 7 = 8 56/7 = 8 7 56 56 7
7 × 8 = 56 7 ⋅ 8 = 56 7(8) = 56 7 * 8 = 56
= 7
= 8
Practice Many Ways
10
10
10
10
10
10
10
10
10
10
10
10
100
10
100
10
100
10
100
.1
100
.01
.001
ten
one
tenth
million
trillion
trillion
million
billion
trillion
billion
million
billion
thousand
hundred
thousand
thousand
hundredth
thousandth
101
103
105
107
1013
109
10-1
10-3
1011
1010
1012
100
102
104
106
108
1014
10-2
da
hecto
deca
uni
deci
centi
milli
kilo
kilo
kilo
mega
mega
mega
giga
giga
giga
tera
tera
tera
100
ten
one
tenth
million
trillion
trillion
million
billion
trillion
billion
million
billion
thousand
hundred
thousand
thousand
hundredth
thousandth
101
103
105
107
1013
109
10-1
10-3
1011
1010
1012
100
102
104
106
108
1014
10-2
10
10
100
10
10
.01
10
100
100
100
.1
.001
da
centi
uni
giga
mega
milli
kilo
deci
giga
giga
deca
tera
tera
mega
hecto
tera
mega
kilo
kilo
10
10
100
10
100
10
100
10
100
.1
100
.01
.001
trillion
101
103
105
107
1013
109
10-1
10-3
1011
1010
1012
100
102
104
106
108
1014
10-2
ten
tenth
one
thousand
hundredth
thousand
thousand
billion
million
billion
thousandth
million
hundred
billion
trillion
trillion
da
hecto
deca
uni
deci
centi
milli
kilo
kilo
kilo
mega
mega
mega
giga
giga
giga
tera
tera
tera
million
10
10
100
10
100
10
100
10
100
.1
100
.01
.001
ten
one
tenth
million
trillion
trillion
million
billion
trillion
billion
million
billion
thousand
hundred
thousand
thousand
hundredth
thousandth
1014
103
giga
106
1011
104
107
1012
100
102
1010
10-1
10-2
giga
kilo
tera
109
deca
kilo
105
mega
giga
tera
da
1013
tera
10-3
mega
deci
uni
101
centi
108
milli
hecto
mega
kilo
10
10
100
10
100
10
100
10
100
.1
100
.01
.001
da
centi
uni
giga
mega
milli
kilo
deci
giga
giga
deca
tera
tera
mega
hecto
tera
mega
kilo
kilo
ten
one
tenth
billion
trillion
billion
million
million
million
billion
trillion
trillion
hundred
thousand
thousand
thousand
hundredth
thousandth
101
103
105
107
1013
109
10-1
10-3
1011
1010
1012
100
102
104
106
108
1014
10-2
108
Scientific Notation:
put a point after the highest-value digit to isolate it
highest-value digit x power of 10
The division symbol is called an obelus.
obelus - Greek pointed pillar / obelisk
# of parts you have (numerator)
The pointed pillar erected to the sun god, represented man's relationship to god. The obelus represents the relationship between the whole and the parts. Point means part.
# of parts a whole was broken into (denominator) nom means name The NAME of the fraction or relationship.
Cardinal or Ordinal?
Cardinal or Ordinal?
Drag and drop.
In 2024, we had no school for fifteen snow days and four cold days.
It's our fifth snow day of 2025!
Write each word ten times.
Blacks were second-class citizens.
Bella was first to finish her lunch.
I saw six sleds on the snow hill.
Rep. Andy Ogles proposed changing the 22nd Constitutional Ammendment to allow Trump a third term.
Joe needs four new winter tires.
I made thirty valentines for my class.