1. L. Riddler 6th Grade Mathematics
Place Value
L. Riddler
6th Grade Mathematics

2. What is a “digit?”
A digit is just one number that is a part of a number
A digit can be one of these numbers:
Sometimes people call their fingers “digits”
“Digits” is also a slang word that means telephone number.

3. Let’s count the digits in these numbers:21
375 7
6,503,211 50
F) 30.7
G) 7,180
H) 70,
I) 911
J) 23, 004

4. Let’s add the digits in these numbers:23
407
1,234
2,200,256 96
F) 67
G) 593
H) 1,000,000
I) 96,301
J) 81

5. Let’s count the number of whole number digits:
31.5
1,341
F) 54,461.0
G) 67.89 H) I) J)

6. Let’s count the number of decimal digits:
31.5
1,341
F) 54,461.0
G) 67.89 H) I) J)

7. What is “place value?” Place value is the amount assigned to a digit.
Some important place values that we will use are: millions, hundred thousands, ten thousands, thousands, hundreds, tens, ones, tenths, and hundredths.

8. But there are way, way, way more than that.
Undecillion
Duodecillion
Tredecillion
Quattuordecillion
Quindecillion
Sexdecillion
Septendecillion
Octodecillion
Novemdecillion
Vigintillion
And on and on and on…
Googol
Googolplex
And there is even bigger numbers than that!
Million
Billion
Trillion
Quadrillion
Quintillion
Sextillion
Septillion
Octillion
Nonillion
Decillion

9. We will need to memorize the names of the important place values.
Take out a piece of unlined paper.
Fold it in half horizontally.
Use scissors to cut 10 flaps half way through the paper.
Look at the example to label your notes.

10. Use your foldable notes to help you answer these questions:
What is the place value of the digit that is 5?
345.7
85461
34.5

11. Now try to answer these WITHOUT your foldable notes:
Name the place value of the digit that is a zero (0). A) B) C) D)
E) 34.08 F)
G) 10789 H) I)
J) 50
If you are having trouble (there are two or more you CANNOT do on your own), raise your hand to let your teacher know!

12. Activity Break
Work on activities that your teacher has selected for you independently or in groups.
If you need help with place value, work with the teacher in small group.
Do not interrupt the teacher unless you have a really, really, really good reason during small group time.

13. What can I do with place value?
You can use it put numbers in order from least to greatest or greatest to least.
You can use it to put numbers into word form.
You can use it to put numbers into expanded form.

14. How do I put numbers in order?
Put the following numbers in order from least to greatest: ; ; 511; 307.7;

15. Step One: Find the number with the largest number of digits.
345.04
307.04
511
307.7
417.7
Both of these numbers have 5 digits!

16. Step Two: Make a Chart
This chart has 5 columns because the largest number of digits is 5. It has 5 rows because we are comparing 5 numbers.

17. Step Three: Line up the Decimals3 4 5 7 1

18. Step Four: Compare the Digits, Going from the Biggest (left side) to the Smallest (right side)
You always read the digits on a number in the same order you read words– from left to right. 3 4 5 7 1
Middle
Smallest
Biggest
Next to Smallest
Next to Biggest

19. Step Five: Write your numbers in the order that is asked for in the problem.
Least to Greatest =
307.04
307.7
345.04
417.7
511

20. Here are some practice problems that you can use your notes to help with:
Put these in order from least to greatest:
717
710
707
700.17
700.07
Put these in order from greatest to least:
1001
1001.5
100
100.5
5001.5

21. Here are some problems to do without your notes:
Put these in order from greatest to least:
5601
5061
5160
5161
5610
Put these in order least to greatest:
60.1
60.02
61.02
60.01 61
If you are having trouble (there are two or more you CANNOT do on your own), raise your hand to let your teacher know!

22. Activity Break
Work on activities that your teacher has selected for you independently or in groups.
If you need help with ordering numbers, work with the teacher in small group.
Do not interrupt the teacher unless you have a really, really, really good reason during small group time.

23. What is “word form?”
It is the way you say the number out loud with all the numbers spelled out.
People write numbers in word form when they write a check.

24. Practice writing these numbers in word form:
561= five hundred sixty one
1,342= one thousand three hundred forty two
1,789,453= one million seven hundred eighty nine thousand four hundred fifty three
56.45= fifty six and forty five hundredths
10.6= ten and six tenths

25. What is “expanded form?”
It looks like an addition problem with each digit represented as its own number.
Expanded form helps explain why you can carry and borrow when you add and subtract large numbers.

26. Practice writing these numbers in expanded form:
617=
7,846,567=
6001=
7801=
6.12=

27. Now without your notes, write each number in expanded form and in word form:
511
50 613
46.2
If you are having trouble (there is one or more you CANNOT do on your own), raise your hand to let your teacher know!

28. Activity Break
Work on activities that your teacher has selected for you independently or in groups.
If you need help with ordering numbers, work with the teacher in small group.
Do not interrupt the teacher unless you have a really, really, really good reason during small group time.

29. Vocabulary Study Guide
Digit
Place value
Decimal
Least
Greatest
Order
Increasing
Decreasing
Expanded form
Word form
Standard form