1. Place Value

2. Do Now Create a 4 digit number and underline one digit.
For the underlined digit provide the three pieces of information that we can learn from a place value.

3. Do Now: Would anyone like to share their number?
There are 3 things we can learn from a digit within a number. Using the underline digit tell me those 3 pieces of information.
3 7 6
6 is in the ones place
There are 6 ones
There is a value of 6

4. Place Value Place value-the value of where the digit is in the number
Think how many sets!

5. Decimals Part of whole Based on 10 (tenth, hundredth, thousandth)
Think of it as another way of writing fractions

6. Decimals

7. Tenths
First place behind the decimal
1/10

8. Hundredths
Second place behind the decimal
1/100

9. Thousandths
Third Place behind the decimal point
1/1000

10. Decimals
When we look at the place value of decimals we still learn our three things:
The place
How may sets
The value

11. Decimal .896 - tenths place - there are 8 one tenths (1/10)
- there is a value of 8 tenths (8/10)

12. Decimal .128 - hundredths place - there are 2 one hundredths (1/100)
- there is a value of 2 hundredths (2/100)

13. Decimal .658 - thousandths place
- there are 8 one thousandths (1/1000)
- there is a value of 8 one thousandths (8/1000)

14. Let’s Practice!
What information do we know about the underlined digit?
.396
.243
.075

15. You try!
Please work on the following worksheet!

16. Place Value and Decimals
Standard Form
Word Form
Expanded Form

17. Place Value and Decimals
23.56
Standard Form: 23.56
Word Form: twenty-three and fifty six hundredths
Since we have decimals we use the word “and” to represent the decimal
To write which part is the decimal we emphasize the “ths”; this symbolizes a part of a whole
Expanded Form:
2(10)+3(1)+5(1/10)+6(1/100)

18. Place Value and Decimals
Standard Form:
Word Form: four hundred fifteen and eight hundred fifty six thousandths
Since we have decimals we use the word “and” to represent the decimal
To write which part is the decimal we emphasize the “ths”; this symbolizes a part of a whole
Expanded Form:
4(100)+1(10)+5(1)+8(1/10)+5(1/100)+6(1/1000)

19. Let’s practice
8.65
39.206
89.76

20. You try!
Please work on the following hand out!

21. Let’s look at value!
Remember when we think place value we think about how many sets the digit represents
Think of decimals as fractions! The larger the denominator the smaller the piece!
1/1000<1/100<1/10

22. Which has a larger value?
.75 vs .092
The digit 7 has the larger value because it has a value of 7/10 compared to the digit 9 which has a digit of 9/100
Think about food would you rather have to share food with 10 people or 100 people

23. Which has a larger value?
.215 vs .3592
The digit 2 has the larger value because it has a value of 2/10 compared to the digit 9 which has a digit of 9/1000
Think about food would you rather have to share food with 10 people or 1000 people

24. Which has the larger value?
vs .924
vs .123
.908 vs .298

25. You try!
Your on the following sheet!

26. Before you go!
Please write the expanded form of the following decimals:
.321
.9087
.4567