Decimals Place Value and Forms by xiangpeng

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									      Decimals

Place Value, Expanded and
     Standard Forms
      Decimal Word Names
• Decimal word names always end in “-th” or
  “-ths”

   one tenth
   four hundredths
      Decimal Word Names
• Decimal word names always end in “-th” or
  “-ths”

   one tenth
   four hundredths
    Representing the decimal
• The decimal is represented by the word
  “and” when writing and saying decimals in
  words.
  2.1 = two and one tenth
    Representing the decimal
• The decimal is represented by the word
  “and” when writing and saying decimals in
  words.
  2.1 = two and one tenth
         What decimals are
• Decimals show amounts between two
  consecutive counting numbers (3,4…)

    0.45 is between 0 and 1

    3.861 is between 3 and 4

    25,196.8 is between 25,196 and 25,197
    How to write decimals numbers
           greater than one
•   To write a number containing a whole
    number and decimal fowllow these steps:
    A.   Write the whole number in words
    B.   Write “and”
    C.   Write the numbers shown in the decimal
    D.   Write the last place a digit occupies in the
         decimal (the farthest right)
    How to write decimals numbers
           greater than one
•    To write a number containing a whole number and decimal fowllow these
     steps:
    A.   Write the whole number in words
    B.   Write “and”
    C.   Write the numbers shown in the decimal
    D.   Write the last place a digit occupies in the decimal (the farthest right)


    32.46
    A.   thirty-two
    B.   and
    C.   forty-six
    D.   hundredths


    thirty-two and forty-six hundredths
To write decimals in expanded form
• Write the place individually

5.306 =
To write decimals in expanded form
• Write the place individually

5.306 = 5
To write decimals in expanded form
• Write the place individually

5.306 = 5 + 0.3
To write decimals in expanded form
• Write the place individually

5.306 = 5 + 0.3 + 0.006
To write decimals in expanded form
• Write the place individually

5.306 = 5 + 0.3 + 0.006
 To show the value of the decimal
     places in expanded form
• Multiply the digit by the value of the
  corresponding place

5.306 =
 To show the value of the decimal
     places in expanded form
• Multiply the digit by the value of the
  corresponding place

5.306 = (5 x 1)
 To show the value of the decimal
     places in expanded form
• Multiply the digit by the value of the
  corresponding place

5.306 = (5 x 1) + (3 x 0.1)
 To show the value of the decimal
     places in expanded form
• Multiply the digit by the value of the
  corresponding place

5.306 = (5 x 1) + (3 x 0.1) + (6 x 0.001)
 To show the value of the decimal
     places in expanded form
• Multiply the digit by the value of the
  corresponding place

5.306 = (5 x 1) + (3 x 0.1) +(6 x 0.001)
 To put a number in standard form
• To put a number in standard (numeral)
  form from expanded form, just add all
  places together.
8 + 0.1 + 0.05 + 0.003
 To put a number in standard form
• To put a number in standard (numeral)
  form from expanded form, just add all
  places together.

    8    0.1    0.05    0.003
 To put a number in standard form
• To put a number in standard (numeral)
  form from expanded form, just add all
  places together.
                 8
                 0.1
                 0.05
             +   0.003
 To put a number in standard form
• To put a number in standard (numeral)
  form from expanded form, just add all
  places together.
                 8
                 0.1
                 0.05
             +   0.003
                 8.153
    To put a number in standard form
  • To put a number in standard (numeral)
    form from expanded form, just add all
    places together.
                       8
                       0.1
                       0.05
                   +   0.003
                       8.153
Note: No place should have more than one digit in this
addition

								
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