1. Place Value through Thousandths
Writing Decimals in
Expanded Form

2. Write decimals in expanded form
Learning Target

3. A review of expanded form…
34,584 = (3 x 10,000) + (4 x 1,000) + (5 x 100) + (8 x 10) + (4 x 1)

4. A review of expanded form…
98,274,000 = (9 x 10,000,000) + (8 x 1,000,000) + (2 x 100,000) + (7 x 10,000) + (4 x 1,000)

5. A review of expanded form…
300,091,115 = (3 x 100,000,000) + (9 x 10,000) + (1 x 1,000) + (1 x 100) + (1 x 10) + (5 x 1)

6. Expanded form works much the same way with decimals…1
_____ 10
Let’s start with tenths.

7. 0.2 = (2 x ) 1
_____ 10

8. 0.6 = (6 x ) 1
_____ 10

9. 0.4 = (4 x ) 1
_____ 10

10. 0.5 = (5 x ) 1
_____ 10

11. Now try tenths and hundredths.
0.98 = (9 x ) + (8 x ) 1
_____ 10 1
_____
100
Now try tenths and hundredths.

12. 0.52 = (5 x ) + (2 x ) 1
_____ 10 1
_____
100

13. 0.17 = (1 x ) + (7 x ) 1
_____ 10 1
_____
100

14. 0.63 = (6 x ) + (3 x ) 1
_____ 10 1
_____
100

15. Following the same steps, you can now include thousandths
0.983 = (9 x ) + (8 x ) + (3 x ) 1
_____ 10
Following the same steps, you can now include thousandths
as well. 1
_____
100 1
_____
1000

16. 0.382 = (3 x ) + (8 x ) + (2 x ) 1
_____ 10 1
_____
100 1
_____
1000

17. 0.177 = (1 x ) + (7 x ) + (7 x ) 1
_____ 10 1
_____
100 1
_____
1000

18. 0.857 = (8 x ) + (5 x ) + (7 x ) 1
_____ 10 1
_____
100 1
_____
1000

19. 0.004 = (0 x ) + (0 x ) + (4 x ) 1
_____ 10 1
_____
100 1
_____
1000

20. Interactive Math Notebook!
Your turn!!
These last four
go in your
Interactive Math Notebook!

21. Now you can put it all together..
= ( 7 x 100 ) + ( 5 x 10 ) + ( 4 x 1 ) + ( 3 x ) + ( 8 x ) + ( 2 x )
Now you can put it all together.. 1
_____ 10 1
_____
100 1
_____
1000

22. Now you can put it all together..
93,000, = (9 x 10,000,000) + (3 x 1,000,000) + (2 x 10) ( 5 x ) + ( 7 x ) + ( 1 x )
Now you can put it all together.. 1
_____ 10 1
_____
100 1
_____
1000

23. Now you can put it all together..
6, = (6 x 1,000) + (6 x 100) + (3 x 1) + ( 2 x ) + ( 2 x ) + ( 8 x )
Now you can put it all together.. 1
_____ 10 1
_____
100 1
_____
1000

24. Now you can put it all together..
43, = (4 x 10,000) + (3 x 1,000) + (5 x 1) + ( 2 x ) + ( 7 x ) +
Now you can put it all together.. 1
_____ 10 1
_____
100

25. Write decimals in expanded form
Learning Target