Place Value, Expanded and Standard Forms

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Presentation transcript:

Place Value, Expanded and Standard Forms 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: 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)

How to write decimals numbers greater than one To write a number containing a whole number and decimal fowllow 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

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