Transcript Decimals

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.
B.
C.
D.
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:
A.
B.
C.
D.
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
A.
B.
C.
D.
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