# Place Value by HC121106082524

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```									              Place Value Chart
WHOLE SIDE                                                 PART SIDE
- Values are arranged into periods                                            - Values are between
- Each period has 3 places: ones, tens, hundreds                             0 and 1
- Powers of 10 have
- Values are greater than or equal to a whole                                   negative exponents
- Powers of 10 have positive exponents                                         - The exponent tells
the number of places
- The exponent tells the number of zeros                                      right of the decimal
billions      millions       thousands                       ones

ten thousandths

hundred thousandths
hundreds

hundreds

thousandths
hundredths
ones

ones
tens

tens

tenths
Exception: The power of 10 for 1 is 100
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.

billions      millions       thousands                       ones

ten thousandths

hundred thousandths
hundreds

hundreds

thousandths
hundredths
ones

ones
tens

tens

tenths
Place Value Patterns

   Each place is 10 times greater than the
place to its right.

ten thousandths

hundred thousandths
thousandths
hundredths
tenths
10 10      1 100
100 xx10 ==1000x 10 = 10 1
Place Value Patterns

 Values on the part side end in “ths”
 Values mirror the whole side, but there is
no oneths place

ten thousandths

hundred thousandths
thousandths
hundredths
tenths
   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                                42,050,100
38 million 502 thousand 47            42 million   50 thousand 100
 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
 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
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
hundredths
ten thousandths
tenths 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
hundredths
ten thousandths
tenths 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.
hundredths
tenths 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   103
Write the value of the underlined digit
as a power of 10 with exponents

179,542,603
1 2   3 4 5

5x   105
Write the value of the underlined digit
as a power of 10 with exponents

179,542,603
1   2 3 4   5 6 7

7x    107
Write the value of the underlined digit
as a power of 10 with exponents

179,542,603

3x   100
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

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