Decimals

1
Decimals

• Place Value, Expanded and Standard Forms

2
Decimal Word Names

• Decimal word names always end in -th or -ths
• one tenth
• four hundredths

3
Decimal Word Names

• Decimal word names always end in -th or -ths
• one tenth
• four hundredths

4
Representing the decimal

• The decimal is represented by the word and when
  writing and saying decimals in words.
• 2.1 two and one tenth

5
Representing the decimal

• The decimal is represented by the word and when
  writing and saying decimals in words.
• 2.1 two and one tenth

6
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

7
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)

8
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

9
To write decimals in expanded form

• Write the place individually
• 5.306

10
To write decimals in expanded form

• Write the place individually
• 5.306 5

11
To write decimals in expanded form

• Write the place individually
• 5.306 5 0.3

12
To write decimals in expanded form

• Write the place individually
• 5.306 5 0.3 0.006

13
To write decimals in expanded form

• Write the place individually
• 5.306 5 0.3 0.006

14
To show the value of the decimal places in
expanded form

• Multiply the digit by the value of the
  corresponding place
• 5.306

15
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)

16
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)

17
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)

18
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)

19
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

20
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
21
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
22
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
23
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