Ones, Tens, & Hundreds… Period!
(2) Number and operations. The student is expected to: • (A) interpret the value of each place-value position as 10
times the position to the right and as one-tenth of the value of the place to its left;
Why ten?
• How many digits are used in numbers?– 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 (there are ten digits)
• After the number 9, what’s next?– 10…. Two digits!!
• How do we describe the digit locations?– Let’s find out!!
Ones, tens, & hundreds
HU
ND
RE
DS
ON
ES
TEN
SCan show
amounts from 0 up to 9
A value of 3 means an amount
of 3 ones or 3
Can show amounts from 10
up to 90
A value of 3 means an amount
of 3 tens or 30
A value of 3 means an amount of 3
hundreds or 300
Can show amounts from 100 up to 900
Ones, tens, & hundreds
5=55=5
0
A value of 5 means an amount
of 5 ones or 5
A value of 5 means an amount
of 5 tens or 50
The relationship between:the tens place &the ones place
10
NOTICE:
Ones, tens, & hundreds
5=55=5
0
A value of 5 means an amount
of 5 ones or 5
A value of 5 means an amount
of 5 tens or 50
50 is 10 X 5
10
NOTICE:
Ones, tens, & hundreds
5=55=5
0
A value of 5 means an amount
of 5 ones or 5
A value of 5 means an amount
of 5 tens or 50
The relationship between:the ones place &
the tens place
10
NOTICE:
Ones, tens, & hundreds
5=55=5
0
A value of 5 means an amount
of 5 ones or 5
A value of 5 means an amount
of 5 tens or 50
10
5 is 1/10th of 50NOTIC
E:
Ones, tens, & hundreds
5=500
5=55=5
0
A value of 5 means an amount
of 5 ones or 5
A value of 5 means an amount
of 5 tens or 50
A value of 5 means an amount of 5
hundreds or 500
10 X 50is 500
10
NOTICE:
Ones, tens, & hundreds
5=500
5=55=5
0
A value of 5 means an amount
of 5 ones or 5
A value of 5 means an amount
of 5 tens or 50
A value of 5 means an amount of 5
hundreds or 500
10
500 divided by 10 is 50NOTIC
E:
Ones, tens, & hundreds
5=500
5=55=5
0
550500
Add all places for the total of 55555
5
Ones, tens, & hundreds
HU
ND
RE
DS
ON
ES
TEN
S
A value of 3 means an amount
of 3 ones or 3
A value of 3 means an amount
of 3 tens or 30
A value of 3 means an amount of 3
hundreds or 300
These three places (ones, tens, hundreds)
form a group called a PERIOD
Periods
HU
ND
RE
DS
ON
ES
TEN
S
ONES
HU
ND
RED
SO
NES
TEN
S
THOUSANDS
HU
ND
RE
DS
ON
ES
TEN
S
MILLIONS
HU
ND
RE
DS
ON
ES
TEN
SBILLIONS
This pattern (ones, tens, hundreds)is repeated in each period… in the same order
… with the same relationships.
Periods
HU
ND
RE
DS
ON
ES
TEN
S
ONES
HU
ND
RED
SO
NES
TEN
S
THOUSANDS
HU
ND
RE
DS
ON
ES
TEN
S
MILLIONS
HU
ND
RE
DS
ON
ES
TEN
SBILLIONS
Periods are separated with a comma.
,,,
Periods
HU
ND
RE
DS
ON
ES
TEN
S
ONES
HU
ND
RED
SO
NES
TEN
S
THOUSANDS
HU
ND
RE
DS
ON
ES
TEN
S
MILLIONS
HU
ND
RE
DS
ON
ES
TEN
SBILLIONS
The decimal point is always located after the ones place in the ones period.
,,, .
Values
HU
ND
RE
DS
ON
ES
TEN
S
ONES
HU
ND
RED
SO
NES
TEN
S
THOUSANDS
HU
ND
RE
DS
ON
ES
TEN
S
MILLIONS
HU
ND
RE
DS
ON
ES
TEN
SBILLIONS
So… if the relationships are always the same…
.
,,, .
Values
HU
ND
RED
S
ON
ES
TEN
S
ONES
HU
ND
RED
S
ON
ES
TEN
S
THOUSANDS
HU
ND
RED
S
ON
ES
TEN
S
MILLIONS
HU
ND
RED
S
ON
ES
TEN
SBILLIONS
Then the value of the 4 in theOne million place is _____ the
Value of the 4 in the ten millions place.
,, .000000448,,, .
1/10th
Try it for yourself!
ONESTHOUSANDSMILLIONS
H OTH OTH OTH OT
BILLIONS ,,, .03Jamie
Jamie has 30 pieces of candy. Her sister, Susan, has 10 times as many pieces of candy.How many pieces of candy does Susan have? A 3 B 30 C 3,000 D 300
Susan
Try it for yourself!
ONESTHOUSANDSMILLIONS
H OTH OTH OTH OT
BILLIONS
03Jamie
Jamie has 30 pieces of candy. Her sister, Susan, has 10 times as many pieces of candy.How many pieces of candy does Susan have? A 3 B 30 C 3,000 D 300
3 00Susan
30 10 = 300
Try it for yourself!
ONESTHOUSANDSMILLIONS
H OTH OTH OTH OT
BILLIONS ,,, .1 805 5523
Janie says the digits in the thousands period all represent the same amount. Mike disagrees. Who is right? Why?
Try it for yourself!
ONESTHOUSANDSMILLIONS
H OTH OTH OTH OT
BILLIONS ,,, .1 805 5523
What is the relationship between the 5 in the ten thousands place and the 5 in the one thousands place? The 5 in the ten thousands place is:A. 5X the one thousands placeB. 10X the one thousands place C. 1/10th the one thousands place D. 1/5th the one thousands place
