1. Place Value, Expanded and Standard Forms
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 =

12. To write decimals in expanded form
Write the place individually
5.306 =

13. To write decimals in expanded form
Write the place individually
5.306 =

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.

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