1. Place Value and Patterns

2. Place Value Chart (PVC)
You can use number patterns to understand the relationship among place value positions.
Billions
Millions
Thousands
Ones/Units
Hundred million
Ten million
Hundred thousands
Ten thousands
Hundreds
Tens
Ones , , ,

3. x10
Thousands
Ones/Units
Hundred thousands
Ten thousands
Hundreds
Tens
Ones 5
500,000
50,000
5,000
500 50 , ,
Value
The value of the digit in the ones place is 5.
The value of the digit in the tens place is 50.
So, the digit in the tens place is 10 times the value of the digit in the ones place. 5 x 10 = 50

4. x10
x10
Thousands
Ones/Units
Hundred thousands
Ten thousands
Hundreds
Tens
Ones 5
500,000
50,000
5,000
500 50 , ,
Value
The value of the digit in the tens place is 50.
The value of the digit in the hundreds place is 500.
So, the digit in the hundreds place is 10 times the value of the digit in the tens place. 50 x 10 = 500

5. x10
x10
x10
Thousands
Ones/Units
Hundred thousands
Ten thousands
Hundreds
Tens
Ones 5
500,000
50,000
5,000
500 50 , ,
Value
The value of the digit in the hundreds place is 500.
The value of the digit in the thousands place is 5,000.
So, the digit in the thousands place is 10 times the value of the digit in the hundreds place x 10 = 5,000

6. x10
x10
x10
x10
x10
Thousands
Ones/Units
Hundred thousands
Ten thousands
Hundreds
Tens
Ones 5
500,000
50,000
5,000
500 50 , ,
Value

7. Thousands
Ones/Units
Hundred thousands
Ten thousands
Hundreds
Tens
Ones 5
500,000
50,000
5,000
500 50 , ,
Value 1 10
The value of the digit in the thousands place is 5,000.
The value of the digit in the hundreds place is 500.
So, the digit in the hundreds place is the value of the digit in the thousands place of 5,000 is 500 1 10

8. Thousands
Ones/Units
Hundred thousands
Ten thousands
Hundreds
Tens
Ones 5
500,000
50,000
5,000
500 50 , ,
Value 1 10 1 10
The value of the digit in the hundreds place is 500.
The value of the digit in the tens place is 50.
So, the digit in the tens place is the value of the digit in the hundreds place of 500 is 50 1 10

9. Thousands
Ones/Units
Hundred thousands
Ten thousands
Hundreds
Tens
Ones 5
500,000
50,000
5,000
500 50 , ,
Value 1 10 1 10 1 10
The value of the digit in the tens place is 50.
The value of the digit in the ones place is 5.
So, the digit in the ones place is the value of the digit in the tens place of 50 is 5 1 10

10. x10
x10
x10
x10
x10
Thousands
Ones/Units
Hundred thousands
Ten thousands
Hundreds
Tens
Ones 5
500,000
50,000
5,000
500 50 , ,
Value 1 10 1 10 1 10 1 10 1 10

11. Use your white board to answer the following questions.

12. Thousands
Ones/Units
Hundred thousands
Ten thousands
Hundreds
Tens
Ones 2 ,
How does the value of the digit in the hundreds place compare to the value of the digit in the tens place?
It is 10 times as much. Reasoning: The value of the digit in the tens place is 20. The value of the digit in the hundreds place is x 10 = 200

13. Thousands
Ones/Units
Hundred thousands
Ten thousands
Hundreds
Tens
Ones 2 ,
How does the value of the digit in the hundreds place compare to the value of the digit in the thousands place?
It is the value. Reasoning: The value of the digit in the thousands place is 2,000. The value of the digit in the
hundreds place is of 2,000 is 200 1 10

14. Mrs. Smith asked her students to use base ten blocks to model the number that is ten times the value of 6 flats. What will their models look like? (draw the model on your desk)
The students will show 6 cubes.
What is the value of their model?
6,000

15. The table shows the number of Box Tops each student turned in.
Bethany
1,687
George
2,847
Cameron
1,765
Elizabeth
2,536
Which student’s total number of Box Tops contains a 6 with a value the value of the 6 in Cameron’s total? 1 10
Elizabeth’s because the value of the 6 in Cameron’s total is 60 and of 60 is 6. Elizabeth’s total number of Box Tops has a 6 in the ones place. 1 10

16. Fill in the blanks with “10 times” or “ ”.
The digit 5 in 257,032 has a value ____________ the value of the digit 5 in 695,187. The digit 8 in 135,278 has a value ____________ the value of the digit 8 in 439,681. The digit 2 in 82,105 has a value _____________ the value of the digit 2 in 29,438.
10 times 1 10 1 10