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Decimals
Place Value, Expanded and Standard Forms
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Decimal Word Names
• Decimal word names always end in “-th” or “-ths”
one tenth
four hundredths
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Decimal Word Names
• Decimal word names always end in “-th” or “-ths”
one tenth
four hundredths
![Page 4: Decimals Place Value, Expanded and Standard Forms](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649e4c5503460f94b41b93/html5/thumbnails/4.jpg)
Representing the decimal
• The decimal is represented by the word “and” when writing and saying decimals in words.2.1 = two and one tenth
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Representing the decimal
• The decimal is represented by the word “and” when writing and saying decimals in words.2.1 = two and one tenth
![Page 6: Decimals Place Value, Expanded and Standard Forms](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649e4c5503460f94b41b93/html5/thumbnails/6.jpg)
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
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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)
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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)
32.46A. thirty-two
B. and
C. forty-six
D. hundredths
thirty-two and forty-six hundredths
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To write decimals in expanded form
• Write the place individually
5.306 =
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To write decimals in expanded form
• Write the place individually
5.306 = 5
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To write decimals in expanded form
• Write the place individually
5.306 = 5 + 0.3
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To write decimals in expanded form
• Write the place individually
5.306 = 5 + 0.3 + 0.006
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To write decimals in expanded form
• Write the place individually
5.306 = 5 + 0.3 + 0.006
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To show the value of the decimal places in expanded form
• Multiply the digit by the value of the corresponding place
5.306 =
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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)
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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)
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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)
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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)
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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
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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
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To put a number in standard form
• To put a number in standard (numeral) form from expanded form, just add all places together.
80.10.050.003+
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To put a number in standard form
• To put a number in standard (numeral) form from expanded form, just add all places together.
80.10.050.003+8.153
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To put a number in standard form
• To put a number in standard (numeral) form from expanded form, just add all places together.
80.10.050.003+8.153
Note: No place should have more than one digit in this addition