Place Value
Review for Quiz
Place Value
Place Value – the value assigned to a digit based on its
position in a number.
Example: The 2 in 37,254 is in the hundreds place.
Hundred
Thousands
Ten
Thousands
3
Thousands
Hundreds
Tens
Ones
7
2
5
4
Value
Value - how much the digit is worth based on the place
value.
Example: The value of the 2 in 37,254 is 200. It is worth
200.
Hundred
Thousands
Ten
Thousands
3
Thousands
Hundreds
Tens
Ones
7
2
5
4
Expanded Form
Place value chart showing the number 27,138
Hundred
Thousands
Ten
Thousands
2
Thousands
Hundreds
Tens
Ones
7
1
3
8
The 2 has a value of 2 ten-thousands, or 20,000.
The 7 has a value of 7 thousands, or 7,000.
The 1 has a value of 1 hundred, or 100.
The 3 has a value of 3 tens, or 30.
The 8 has a value of 8 ones, or 8.
Expanded Form
Place value chart showing the number 27,138
Hundred
Thousands
Ten
Thousands
2
Thousands
Hundreds
Tens
Ones
0
0
0
0
1
0
7
0
27,138 = 20,000 + 7,000 + 100 + 30 + 8
0
0
3
0
0
8
Word Form
Place value chart showing the number 27,138
Thousands Period
Hundred
Thousands
Ten
Thousands
2
Ones Period
Thousands
Hundreds
Tens
Ones
7
1
3
8
To read 27,138 start at the left and read to the comma. Then say the name of the
period.
Twenty-seven thousand
Then read the three-digit number in the ones period. Do not say the name of the
ones period.
One hundred thirty-eight
Now put the them together. Twenty-seven thousand, one hundred thirty-eight.
Word Form
Zeroes as place holders
Place Value chart showing the number 25,028
Thousands Period
Hundred
Thousands
Ten
Thousands
2
Ones Period
Thousands
Hundreds
Tens
Ones
5
0
2
8
To read 25,028 start at the left and read to the comma. Then say the name of the
period.
Twenty-five thousand
Then read the three-digit number in the ones period. Do not say the name of the
ones period. Do not say the zero in the hundreds place. It is acting as a place holder.
Twenty-eight
Now, put the them together. Twenty-five thousand, twenty-eight.
Standard Form
Standard Form – the way a number is written with
numerals.
Example: the standard form of one hundred twentyfour is 124
Place Value Using
Base Ten Blocks
It takes 10 ones units to equal 1 tens rod.
1 tens rod equals 10 ones cubes.
1 tens rod is 10 times as many as 1 ones
unit.
In order to make a tens rod out of ones
cubes, you must draw a ones unit ten
times.
Hundred
Thousands
Tens
Ten
Thousands
Ones
Thousands
Hundreds
Tens
1
Ones
1
The 1 in the tens place is worth 10
ones. The 1 in the tens place is 10 times
as many as the 1 in the ones place.
It takes 10 tens rods to equal 1 hundreds flat.
1 hundreds flat equals 10 tens rods.
1 hundreds flat is 10 times as many as 1 tens
rod.
In order to make a
hundreds flat out of
tens rods, you would
have to draw a tens rod
10 times.
Hundred
Thousands
Hundreds
Ten
Thousands
Tens
Thousands
Hundreds
1
Tens
Ones
1
The 1 in the hundreds place is worth 10
tens rods. The 1 in the hundreds place
is 10 times as many as the 1 in the tens
place.
It takes 10 hundreds flats to equal 1 thousands cube.
1 thousands cube equals 10 hundreds flats stacked on
top of each other.
1 thousands cube is 10 times as many as 1 hundreds
flat.
In order to make a
thousands cube out of
hundreds flats, you
would have to stack a
hundreds flat 10 times.
Hundred
Thousands
Thousands
Ten
Thousands
Hundreds
Thousands
1
Hundreds
Tens
Ones
1
The 1 in the thousands place is worth
10 hundreds flats.
The 1 in the thousands place is 10
times as many as the 1 in the hundreds
place.
Hundred
Thousands
Tens
Ten
Thousands
Ones
Thousands
Hundreds
Tens
2
Ones
2
The 2 in the tens place is worth 20
ones. The 2 in the tens place is 10 times
as many as the 2 in the ones place.
2 X 10 = 20
You would have to draw a set of 2 units
10 times to equal the amount of units
in 2 tens rods.
Any digit in the tens place is always 10
times as many of that same digit in the
ones place.
Try It Out
• Draw 2 units
10 times.
• Count the number of units you just drew, and
write down your answer.
• Now draw 2 tens rods, and count the number
of units in the tens rods. Write down your
answer.
• Did the number of units in the 2 tens rods
equal the number of units you drew in groups
of 2?
Hundred
Thousands
Hundreds
Ten
Thousands
Tens
Thousands
Hundreds
2
Tens
Ones
2
The 2 in the hundreds place is worth 20
tens. The 2 in the hundreds place is 10
times as many as the 2 in the tens
place.
You would have to draw a set of 2 tens
rods 10 times to equal the amount of
cubes in 2 hundreds flats.
Any digit in the hundreds place is
always 10 times as many of that same
digit in the tens place.