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
            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                                42,050,100
38 million 502 thousand 47            42 million   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
             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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