1. Place Value
Place Value
Ms. Cantu
4th grade

2. Objective:
You will be able to use place value to read, write, compare, and order whole numbers through 999,999,999 in standard, expanded, and written from.

3. Vocabulary
Digits: 0,1,2,3,4,5,6,7,8,9
Numbers: represent the value of something
Periods: groups of three places
Standard form: A way to write numbers (in words) that shows the place value of each digit.
Expanded form: A way to write numbers that shows the place value of each digit.
Written from: A way to write numbers that shows the place value of each digit.

4. THE VALUE OF A DIGIT DEPENDS ON ITS PLACE IN A NUMBER.
Place Value
THE VALUE OF A DIGIT DEPENDS ON ITS PLACE IN A NUMBER.
Read whole numbers.
Write whole numbers.
Compare
( less than, grater than, equal to)
(>,<,=)
Ordinal numbers.

5. Reading Large Numbers Periods
The digits in large numbers are in groups of three places (hundreds, tens, and ones places.) The groups are called periods.

6. How would you read this number?
Reading Large Numbers
Millions Period
Thousands
Period
Ones
How would you read this number?
Start at the left. Read to the first comma. Say the name of the period.
Two million
Read to the second comma. Say the name of the next period.
Four hundred
sixty- nine thousand
Read the three- digit number in the ones period. You don’t say the name of the ones period.
Six hundred

7. Let’s Try Ninety one million, four hundred two thousand, six hundred.
Millions Period
Thousands
Period
Ones
Ninety one million, four hundred two thousand, six hundred.

8. One more time… With your seat partner try reading these two numbers.
Millions Period
Thousands
Period
Ones

9. Reading Numbers Practice
4,578
65,387
876,965
6,345,233
75,325,832
923,876,288

10. Writing Numbers
Standard Form: A way to write numbers that shows the place value of each digit. The standard form for the number
two hundred six is 206.
Expanded Form: A way to write numbers that shows the place value of each digit.
The expanded form for the number 3689 is
= 3689
Written Form: A way to write numbers that shows the place value of each digit.
The written form of the number 289 is simply 289.

11. Standard Form Writing numbers in word from.
Here are some numbers written in words.
Remember use a hyphen when you use words to write 2-digit numbers greater than 20.
zero
ten
twenty
thirty
one
eleven
twenty- one
forty
two
twelve
twenty- two
fifty
three
thirteen
twenty- three
sixty
four
fourteen
twenty- four
seventy
five
fifteen
twenty- five
eighty
six
sixteen
twenty- six
ninety
seven
seventeen
twenty- seven
eight
eighteen
twenty- eight
nine
nineteen
twenty- nine

12. Let’s Try Write 8,976,567 in standard form.
eight million, nine hundred seventy-six thousand, five hundred sixty- seven.
Write 96,567,234 in standard form.
ninety- six million, five hundred sixty- seven thousand, two hundred thirty- four.
Write 876,345,265 in standard form.
eight hundred seventy- six million, three hundred forty- five thousand, two hundred sixty- five.

13. One more time… Write 23,456,873 in standard form.
Twenty-three million, four hundred fifty-six thousand, eight hundred seventy-three
Write 89,654,271 in standard form.
Eighty-nine million, six hundred fifty-four thousand, two hundred seventy-one
Write 2,872,982 in standard form.
Two million, eight hundred seventy- two thousand, nine hundred eighty two
Write 142,872,652 in standard form.
One hundred forty- two million, eight hundred seventy- two thousand, six hundred fifty- two

14. Writing Numbers Practice
Write 1,982,072 in standard form.
One million, nine hundred eighty- two thousand, seventy-two
Write 923,082,235 in standard form.
Nine hundred twenty- three million, eighty- two thousand, two hundred thirty- five
Write 91,726,982 in standard form.
Ninety-one million, seven hundred twenty- six thousand, nine hundred eighty- two

15. Expanded Form
A way to write numbers that shows the place value of each digit.
Example:
8,768= 8,
9,302= 9,

16. Comparing Numbers 563 521 different 60 is greater than 20.
1. Line up the place values by lining up the ones.
2. Begin with the greatest place. Find the first place where the digits are different.
3. Compare the value of the digits in that place.
563
521
different
same
60 is greater than 20.
So 563 > 521
BEWARE when comparing numbers that don’t have the same amount of digits. Make sure to line the numbers up by the ONES PLACE.

17. Comparing numbers
Millions Period
Thousands
Period
Ones

18. When one whole number has more digits than another,
Comparing Numbers
1. Line up the place values by lining up the ones.
2. Begin with the greatest place. Find the first place where the digits are different.
3. Compare the value of the digits in that place.
11,352,578
4,367,755
11,000,000 is greater than 4,000,000.
When one whole number has more digits than another,
it is greater.
So in our example 11,352,578 > 4,367,755

19. Samples for Comparing Numbers
The table below shows the number of airline tickets sold over the summer break Airline Tickets
Month
Number of Tickets Sold
June
30,876
July
32,688
August
36,578
Which list shows the months in order from least to greatest number of tickets sold by the airline?
July, June, August
August, July, June
July, August, June
June July, August

20. Samples for Comparing Numbers
The table below shows the number of airline tickets sold over the summer break Airline Tickets
How did you solve it?
Month
Number of Tickets Sold
June
30,876
July
32,688
August
36,578
Which list shows the months in order from least to greatest number of tickets sold by the airline?
July, June, August
August, July, June
July, August, June
June July, August 3 8 7 6 2 5

21. Ordinal Numbers
You can use ordinal numbers to tell the position of people or things that are in a certain order.
Ordinal numbers can be written with digits and letters or in words.
Example:
1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th etc.
first, second, third, fourth, fifth, sixth, seventh, eighth, ninth, tenth, etc.