1. PLACE VALUE Understanding the Value of a Number NBT.1
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2. Learning Target
I can determine the value of a digit in a given number.
I can determine how much smaller or larger a digit is when moved to a different place value.
Repeat after me.
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3. Our Class Goal
Determine who is correct using your knowledge of place value. Wallace and Logan were arguing about the size of 2 numbers. Wallace thought eight-tenths was ten times larger than eight-hundredths. Logan thought eight-hundredths was ten times larger than eight-tenths. Who is correct?
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

4. Our Goal
Write in a place-value chart. The value of the ones digit is _______. The value of the tenths digit is ______. The value of the 3 in the ones place is _________ times as much as the value of the 3 in the place to its right.
Hundreds
Tens
Ones .
Tenths
Hundredths
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5. The value of a digit is based on where it is placed within a number.
It is the digit times the place value it is in.
For Example:
35.526
The digit 3 is in the tens place, so 3 x 10 = 30
The digit 2 is in the hundredths place, so 2 x
1/100 = 2/100 or 0.02.
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

6. The Value of a Digit
The value of a digit is based on where it is placed within a number. You Help Me: . 3, 1 2 9 3 8
Let’s name each digits value.
Randomly select digits, and then write them on the columns over the digit.
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

7. What is 35.04 written in expanded form with fractions?
The Value of a Digit
The value of a digit is based on where it is placed within a number. You Try:
What is the value of the digit 7?
What is the value of the digit 8?
What is the value of the digit 4?
Let’s name each digits value.
Randomly select digits, and then write them on the columns over the digit.
What is written in expanded form with fractions?
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

8. Applying what we know about Place Value
Now that we know what value is and can determine the value of a digit we are ready to move to the next part of our learning target.
We are going to work on telling how much smaller or larger a digit is when moved to a different place value.
We are going to look at some models and compare what is happening each time. Then, we will apply those concepts to numbers.
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

9. Let’s Recap
Can the whole change? What happens when you move to the right? What happens when you move to the left?

10. The Value of a Digit
The 1 furthest to the left is greater than the 1 furthest to the right.
How do they compare?
Millions
Hundred-thousands
Ten-Thousands
Thousands
Hundreds
Tens
Ones
Tenths
Hundredths
Thousandths 8, 1 4 3, 2 9 3 8
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

11. The Value of a Digit
When we move a digit in one place to the left, the value of the digit is 10 times greater.
LOOK… 1
1x10=
1,000
100 10 1
0.1
0.01
0.001
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

12. The Value of a Digit
When we move a digit in a number one place to the left, the value of the digit is 10 times greater.
LOOK… 10
10x10=
1,000
100 10 1
0.1
0.01
0.001
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

13. The Value of a Digit
When we move a digit in a number one place to the left, the value of the digit is 10 times greater.
LOOK…
100
100x10=
1,000
100 10 1
0.1
0.01
0.001
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

14. The Value of a Digit
When we move a digit in a number one place to the left, the value of the digit is 10 times greater.
LOOK…
1,000
1,000
100 10 1
0.1
0.01
0.001
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

15. The Value of a Digit
When we move a digit in a number one place to the right, the value of the digit is 1/10 less than before.
LOOK…
1,000
1,000/10=
1,000
100 10 1
0.1
0.01
0.001
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

16. The Value of a Digit
When we move a digit in a number one place to the right, the value of the digit is 1/10 less than before.
LOOK…
100
100/10=
1,000
100 10 1
0.1
0.01
0.001
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

17. The Value of a Digit
When we move a digit in a number one place to the right, the value of the digit is 1/10 less than before.
LOOK… 10
10/10=
1,000
100 10 1
0.1
0.01
0.001
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

18. The Value of a Digit
When we move a digit in a number one place to the right, the value of the digit is 1/10 less than before.
LOOK… 1
1/10=
1,000
100 10 1
0.1
0.01
0.001
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

19. The Value of a Digit
When we move a digit in a number one place to the right, the value of the digit is 1/10 less than before.
LOOK…
0.1
0.1/10=
1,000
100 10 1
0.1
0.01
0.001
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

20. The Value of a Digit
When we move a digit in a number one place to the right, the value of the digit is 1/10 less than before.
LOOK…
0.01
0.01/10=
1,000
100 10 1
0.1
0.01
0.001
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

21. The Value of a Digit
When we move a digit in a number one place to the right, the value of the digit is 1/10 less than before.
LOOK…
0.001
1,000
100 10 1
0.1
0.01
0.001
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

22. You Watch Me 2.2 3,595.27 The value of the first two is ______
The value of the second two is ________
The 2 in the ones place is ________ times the 2 in the tenths place.
3,595.27
Determine how much larger or smaller the 5 with the smaller value is than the 5 with the larger value.
________ is __________ times as great as _________.
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

23. You Help Me
63.38
1) Determine how much larger or smaller the digit 3 is in the ones place than the tenths place.
771.72
1) Determine how much larger or smaller the digit 7 in the tenths place is compared to the digit 7 in the tens place.
2) Determine how much larger or smaller the digit 7 in the hundreds place is compared to the digit 7 in the tens place.
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

24. Yellow/Green Partners
494.66
1) What is the value of the tenths digit?
2) What is the value of the hundredths digit?
3) The value of the 6 in the tenths place is ________ the value of the 6 in the hundredths place.
4) Compare the digit 4 with the smaller value to the digit 4 with the greater value.
USE THIS TO HELP IF YOU NEED IT: in the __________ place is ___________ times as great as the digit 4 in the ___________ place.
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

25. Try a Few on Your Own
1) 74,533.18
30 is __________ times as great as 3. 2)
The 4 in the thousandths place is ________ times as great as 4 in the hundredths place.
3) is __________ times as great as 2.
4) is __________ times as great as 0.09.
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

26. Evaluate Me
I was asked to determine how many times greater or smaller the digit 7 with the least value is compared to the digit 7 with the greatest value.
707.70
I knew the digit 7 with the least value is in the tenths place, and the digit 7 with the largest value is in the hundreds place. I know that each time the digit moves to the left it increases by a power of 10. I must take three hops to get from the tenths place to the hundreds place, so 10 x 10 x 10 = 1,000. This means that the 7 in the tenths place is 1/1,000 the value of the digit in the hundreds place. The tenths place is smaller than the hundreds place, so I can use a fraction.
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

27. PROVE IT!! Learning Target
Can you determine how much smaller or larger a digit is when moved to a different place value?
Can you determine the value of a digit in a given number?
PROVE IT!!
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

28. Yellow/Green Partners
With you partner, determine who is correct using your knowledge of place value. Wallace and Logan were arguing about the size of 2 numbers. Wallace thought eight-tenths was ten times larger than eight-hundredths. Logan thought eight-hundredths was ten times larger than eight-tenths. Who is correct?
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

29. Our Goal
Write in a place-value chart. The value of the ones digit is _______. The value of the tenths digit is ______. The value of the 3 in the ones place is _________ times as much as the value of the 3 in the place to its right.
Hundreds
Tens
Ones .
Tenths
Hundredths
If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop