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**Place Value, Word, Expanded and Standard Forms**

Decimals Place Value, Word, Expanded and Standard Forms

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**What decimals are 0.45 is between 0 and 1 3.861 is between 3 and 4**

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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**Decimal Word Names four hundredths 0.04 seven and three tenths 7.3**

Decimal word names always end in “-th” or “-ths” one tenth four hundredths seven and three tenths 7.3

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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 4.5 = four and five tenths 17.61 = seventeen and sixty-one hundredths

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**How to write decimals numbers greater than one in word form**

To write a number containing a whole number and decimal follow these steps: Write the whole number in words Write “and” Write the numbers shown in the decimal Write the last place a digit occupies in the decimal (the farthest right) 32.46 thirty-two and forty-six 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 =

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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 =

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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.

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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 (be sure to line up your decimals). 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 8.153

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**Now you try it Standard form of one hundred thirty and three tenths**

Expanded form of 0.56 Word form of 0.234

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Understanding Decimal Numbers.

Understanding Decimal Numbers.

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