1. Place Value, Word, Expanded and Standard Forms
Decimals
Place Value, Word, Expanded and Standard Forms

2. 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

3. 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

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

5. 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

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

7. To write decimals in expanded form
Write the place individually
5.306 = 5

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

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 =

11. To show the value of the decimal places in expanded form
Multiply the digit by the value of the corresponding place
5.306 =

12. 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)

13. 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)

14. 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)

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) + (3 x 0.1) +(6 x 0.001)

16. To put a number in standard form
To put a number in standard (numeral) form from expanded form, just add all places together.

17. 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

18. 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

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
8.153

20. Now you try it Standard form of one hundred thirty and three tenths
Expanded form of 0.56
Word form of 0.234