math 3 - unit 1 - place value and expanded form

Name: ___________________________________ Date: ______________

Place Value 1

This is a place value chart.

Millions Hundred Thousand

s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

If I wanted to write 34, I would write on the chart like this:

3 4


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

If I wanted to write 634, I would write on the chart like this:

6 3 4


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

Write 927 on this chart. What place is the 2 in? ________________________

1


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

Write 63 on this chart. What place is the 3 in? _________________________


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones



s

Ten Thousand

s

Thousands

Hundreds

Tens Ones



s

Ten Thousand

s

Thousands

Hundreds

Tens Ones


2


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones



s

Ten Thousand

s

Thousands

Hundreds

Tens Ones



s

Ten Thousand

s

Thousands

Hundreds

Tens Ones



s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

Name: ___________________________________ Date: ______________

Place Value 2

If I wanted to write 2,634, I would write on the chart like this:

3

2 , 6 3 4


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

Do you see the comma after the 2?

A comma ALWAYS goes in the thousand's place. ALWAYS.

Write 3,510 on this chart. Did you remember to put a comma in? ____________


Ten Thousand

Thousands

Hundreds

Tens Ones

4

s s

Write 6,423 on this chart. What place is the 4 in? _______________________


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones



s

Ten Thousand

s

Thousands

Hundreds

Tens Ones



s

Ten Thousand

s

Thousands

Hundreds

Tens Ones



s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

5



s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

Write 9,897 on this chart. Did you remember to put a comma in? ____________


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones



s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

Name: ___________________________________ Date: ______________

Place Value 3

What number is this? ____________________ (Did you remember the comma?)

6

1 , 7 2 4Millions Hundred

Thousands

Ten Thousand

s

Thousands

Hundreds

Tens Ones

What number is this? ____________________

8, 2 7 5


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones


3, 3 1 3


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones


6, 3 2 4


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones


7

8 5 1


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones


9, 0 0 0


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones


4, 0 3 7


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

Which number is bigger? ____________________

Why is it bigger? ________________________________________________

______________________________________________________________


8

Why is it bigger? ________________________________________________

______________________________________________________________


Why is it bigger? ________________________________________________

______________________________________________________________

Name: ___________________________________ Date: ______________

Expanded Form 1

Let's talk about something called "expanded form".

Suppose you had the number 52.

5 2


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

9

52 in expanded form would look like this: 50 + 2.

Why does it look like that? Well, close your eyes and listen to me say the number slowly.

Fifty.

Two.

Open your eyes. Did you hear me say 50? And then did you hear me say 2? That's one reason why we write 50 + 2... because 52 IS the same as 50 + 2. It even sounds the same.

Write 34 in expanded form. ____________________

Add 30 + 4. What does that equal? _______________

Well isn't that tricky?

3 4


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones


Add the numbers. What do they equal? ____________

7 6


Ten Thousand

Thousands

Hundreds

Tens Ones

10

s s



2 1


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones



9 9


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones



6 8


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones


11


3 0


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones













12


Name: ___________________________________ Date: ______________

Expanded Form 2

Suppose you had the number 385.

3 8 5


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

385 in expanded form would look like this: 300 + 80 + 5.


Three.

Hundred.

Eighty.

Five.

Open your eyes. Did you hear me say 300? Did you hear me say 80? Did you hear me say 5? That's one reason why we write 300 + 80 + 5... because 385 IS the same as 300 + 80 + 5. It even sounds the same.


Add 100 + 20 + 7. What does that equal? _______________

13

1 2 7


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

Write 934 on the place value chart.

Now write 934 in expanded form. ____________________



s

Ten Thousand

s

Thousands

Hundreds

Tens Ones





s

Ten Thousand

s

Thousands

Hundreds

Tens Ones



What place is the 9 in? _________________________

14

9 0 3


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones



What place is the 6 in? _________________________

2 6 7


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones




Name: ___________________________________ Date: ______________

Expanded Form 3

Suppose you had the number 7,268.

7 , 2 6 8

15


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

7,268 in expanded form would look like this: 7,000 + 200 + 60 + 8.


Seven thousand.

Two hundred.

Sixty.

Eight.

Open your eyes. Did you hear me say 7,000? Did you hear me say 200? Did you hear me say 60? Did you hear me say 8? That's one reason why we write 7,000 + 200 + 60 + 8... because 7,268 IS the same as 7,000 + 200 + 60 + 8. It even sounds the same.

Write 1,482 on the place value chart. Did you remember to add a comma?

Now write 1,482 in expanded form. ____________________



s

Ten Thousand

s

Thousands

Hundreds

Tens Ones




16


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones





s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

Write 8,392 on the place value chart.




s

Ten Thousand

s

Thousands

Hundreds

Tens Ones




17


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones





s

Ten Thousand

s

Thousands

Hundreds

Tens Ones




s

Ten Thousand

s

Thousands

Hundreds

Tens Ones




s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

18




s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

Name: ___________________________________ Date: ______________

Place Value 4

Write 10,524 on this chart. Did you remember to put a comma in? ___________


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

Write 25,915 on this chart. What place is the 9 in? ______________________


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones


19


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones



s

Ten Thousand

s

Thousands

Hundreds

Tens Ones



s

Ten Thousand

s

Thousands

Hundreds

Tens Ones



s

Ten Thousand

s

Thousands

Hundreds

Tens Ones


20


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

In the number 56,301 what place is the 3 in? ___________________________


In the number 21,532 what place is the 1 in? ____________________________











21

Name: ___________________________________ Date: ______________

Expanded Form 4

Suppose you had the number 82,926.

8 2 , 9 2 6


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

82,926 in expanded form would look like this: 80,000 + 2,000 + 900 + 20 + 6.

Why does it look like that?

Let's start with the 8 in the ten thousands place. How many numbers come after that 8? (4, right?) Imagine turning all those 4s into 0s.

82,926

22

8 2 , 9 2 6


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

Here's another way you can think about it:

Numbers in the one's place have no spaces after them, so we don't add any zeroes. So 6 is just six.

6 no zeroes

Numbers in the ten's place have one space after them, so we add one zero. So 2 becomes 20.

20 one zero

Numbers in the hundred's place have two spaces after them, so we add two zeroes. So 9 becomes 900.

900 two zeroes

Numbers in the thousand's place have three spaces after them, so we add three zeroes. So 2 becomes 2,000. (Don't forget your comma!)

2,000 three zeroes

Numbers in the ten thousand's place have four spaces after them, so we add four zeroes. So 8 becomes 80,000. (Where does your comma go?)

80,000 four zeroesWrite these numbers in expanded form:

4 5 , 3 1 9


Ten Thousand

Thousands

Hundreds

Tens Ones

23

s s

2 3 , 7 6 5


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

6 8 , 2 3 4


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

7 1 , 8 2 6


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

1 3 , 2 3 4


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

24

9 9 , 9 9 9


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

4 5 , 6 1 2


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

7 2 , 4 3 8


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

Name: ___________________________________ Date: ______________

Expanded Form 5

3 2 , 8 9 5


Ten Thousand

Thousands

Hundreds

Tens Ones

25

s s

What number is this?

Write it in expanded form.

Add it. 3 0, 0 0 0 2, 0 0 0 8 0 0 9 0 + 5 00

Did you get the number you started with?

Write the number in expanded form, then add it.

4 8 , 1 4 2


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

26

1 7 , 2 9 1


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

4 7 , 1 5 6


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

8 1 , 4 2 3

Millions Hundred Ten Thousand Hundred Tens Ones

27

Thousands

Thousands

s s

Name: ___________________________________ Date: ______________

Expanded Form 6

How do you write a number in expanded form if there is a zero in one of the places?

4 0 , 2 1 3


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

Well, you could show the zero in your expanded form or you could ignore it.

For example, if you wrote 40,213 in expanded form and showed the zero, it would look like this:

40,000 + 0 + 200 + 10 + 3

If you decided to ignore the zero, it would look like this:

28

40,000 + 200 + 10 + 3

Which seems easier to you? Either way you want to write it is okay.

Write the expanded form:

2 7 , 1 0 5


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

5 9 , 0 0 1


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

8 0 , 7 0 3


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

6 2 , 0 0 029


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

23, 013 ________________________________________________________

40, 760 _______________________________________________________

87, 100 ________________________________________________________

10, 693 ________________________________________________________

77, 000 _______________________________________________________

63, 905 _______________________________________________________

20, 300 _______________________________________________________

58, 760 _______________________________________________________

80, 000 _______________________________________________________

30

Name: ___________________________________ Date: ______________

Place Value 5

Write 204,756 on this chart. Did you remember to put a comma in? __________


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

Write 113,905 on this chart. What place is the 9 in? _____________________


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones



s

Ten Thousand

s

Thousands

Hundreds

Tens Ones


31


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones



s

Ten Thousand

s

Thousands

Hundreds

Tens Ones



s

Ten Thousand

s

Thousands

Hundreds

Tens Ones



s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

Write two hundred thirteen thousand, five hundred twenty-two.

32


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

Write eight hundred forty-six thousand, five hundred two hundred fifteen.


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

Write six hundred one thousand, three hundred thirty-three.


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

Write four hundred thousand, two hundred thirty-four.


s

Ten Thousand

s

Thousands

Hundreds

Tens Ones

Name: ___________________________________ Date: ______________

Expanded Form 7

33

Match the expanded number to the standard number. Draw a line to match each one.

50,000 + 6,000 + 700 + 10

20,000 + 3,000 + 100 + 7

400 + 50 + 7

2,000 + 30 + 3

100,000 + 90,000 + 6,000 + 400 + 20 + 1

500,000 + 20,000 + 2,000 + 400 + 30 + 9

400,000 + 50,000 + 7,000

5,000 + 600 + 70 + 1

2,033

56,710

196,421

522,439

23,107

457

5,671

457,000

Name: ___________________________________ Date: ______________

Place Value 6


Ten Thousand

Thousands

Hundreds

Tens Ones

34

s s

In the number 203,456, what is the place value of 6? ______________________













35

math 3 - unit 1 - place value and expanded form

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