Download Place Value

Place Value Chart
WHOLE SIDE
- Values are arranged into periods
- Each period has 3 places: ones, tens, hundreds
- Values are greater than or equal to a whole
- Powers of 10 have positive exponents
- The exponent tells the number of zeros
- The exponent tells
the number of places
right of the decimal
Exception: The power of 10 for 1 is 100
hundred thousandths
ten thousandths
thousandths
hundredths
tenths
ones
tens
ones
hundreds
ones
thousands
tens
millions
hundreds
billions
PART SIDE
- Values are between
0 and 1
- Powers of 10 have
negative exponents
Place Value Patterns

Values are arranged into periods

Each period or group is divided into 3 places – ones, tens,
hundreds.

Each period or group is separated by a comma.
hundred thousandths
ten thousandths
thousandths
hundredths
tenths
ones
tens
ones
hundreds
ones
thousands
tens
millions
hundreds
billions
Place Value Patterns
100
10xx10
10==1000
1 x 10
100= 10 1
hundred thousandths
ten thousandths
thousandths
hundredths
Each place is 10 times greater than the
place to its right.
tenths

Place Value Patterns
Values on the part side end in “ths”
 Values mirror the whole side, but there is
no oneths place
hundred thousandths
ten thousandths
thousandths
hundredths
tenths

Reading Large Numbers

Read the numbers in the first period.

At the comma, say the name of the period you just read.

Repeat with each period.

In the ones period, just read the number. Do not say the name
of the period.
38,502,047
38million 502 thousand 47
42,050,100
42million
50 thousand 100
Reading Small Numbers
Read the whole number
 At the decimal, read the word “and”
 Underline the final digit on the part side
 Identify its place value
 Read the part side as you normally would
 Say the final place value

4,502 .1016
ten thousandths
4 thousand 5 hundred 2 and 1 thousand 16 ten thousandths
Reading Small Numbers
Read the whole number
 At the decimal, read the word “and”
 Underline the final digit on the part side
 Identify its place value
 Read the part side as you normally would
 Say the final place value

340.025
thousandths
3 hundred 40 and 25 thousandths
Reading Small Numbers
If there is no whole number, just skip to
the part side
 Underline the final digit on the part side
 Identify its place value
 Read the part side as you normally would
 Say the final place value

0.318
thousandths
358 thousandths
Writing Small Numbers
three hundred fifty-nine ten thousandths
3 5 9

Draw a decimal point and mark spaces up to
the place identified.
. 0
tenths
hundredths
thousandths
ten thousandths
Fill in the digits so the last digit is in the last
space at the right.
 Fill in any extra spaces in front with zeros

Writing Small Numbers
fourteen ten thousandths
1 4

Draw a decimal point and mark spaces up to
the place identified.
. 0 0
tenths
hundredths
thousandths
ten thousandths
Fill in the digits so the last digit is in the last
space at the right.
 Fill in any extra spaces in front with zeros

Writing Small Numbers
six and seven hundred thirty-eight thousandths
7 3 8
Write the whole number
 Write a decimal for the word “and”
 Mark spaces up to the place identified

6.
tenths
hundredths
thousandths

Fill in the digits so the last digit is in the last
space at the right.
Place Value
Let’s practice some place
value exercises!
Write the value of the
underlined digit
67,985,046
80,000
Write the value of the
underlined digit
67,985,046
40
Write the value of the
underlined digit
67,985,046
7,000,000
Write the value of the
underlined digit
125,761,942
700,000
Write the value of the
underlined digit
125,761,942
1,000
Write the value of the underlined
digit as a power of 10
43,520,819
5 x 100,000
Write the value of the underlined
digit as a power of 10
43,520,819
8 x 100
Write the value of the underlined
digit as a power of 10
43,520,819
9x1
Write the value of the underlined
digit as a power of 10
43,520,810
1 x 10
Write the value of the underlined
digit as a power of 10
43,520,810
5 x 100,000
Write the value of the underlined digit
as a power of 10 with exponents
179,542,603
1 2 3
2x
3
10
Write the value of the underlined digit
as a power of 10 with exponents
179,542,603
1 2
5x
3 4 5
5
10
Write the value of the underlined digit
as a power of 10 with exponents
179,542,603
1
2 3 4
7x
5 6 7
7
10
Write the value of the underlined digit
as a power of 10 with exponents
179,542,603
3x
0
10
Round to the hundreds place.
52,684
52,700
Round to the ten thousands place.
869,417,205
869,420,000
Round to the thousands place.
146,207,219
146,207,000
Round to the hundred thousands
place.
3,958,216
4,000,000