1. Understanding
Numbers

2. Place Value/Face Value
Face value is 4
Each digit in a number has a place value and a face value.
In the number 4856, the digit 4 is in the thousands place value.
Meaning the place value is thousands.
The number you see (4) is the face value.
4856
Place value is thousands

3. A place value chart helps us to read and understand large numbers.

5. THOUSANDS
BILLIONS
UNITS
ones, tens, hundreds
MILLIONS

6. LFH JBG CIA EKD Hundred Billion Hundred Thousand Ten Thousand
Ten Billion
Thousands
Billion
LFH JBG CIA EKD
Hundred
Million
Millions
Ones
Ten Million
Hundreds
Tens

7. Saying Large Numbers
Understand place value helps us say large numbers properly
When saying large numbers you should:
A) start with the largest place value grouping
B) say what you see, then say the grouped place value
C) continue until all number have been read

8. Try These

9. Writing Numbers In Words
When writing numbers in words you write exactly what you say:
Four hundred nine million, three hundred twenty thousand, one hundred ninety-nine

10. Try These Two hundred sixty four thousand, five hundred three
Ninety million, sixty-two thousand four
Seven hundred five million, twenty-two
Five hundred sixty-three thousand, four hundred thirteen
Two billion, three hundred million, seven thousand, sixteen

11. Standard and
Expanded Form

12. When numbers are presented in numerical digits, it is called the standard form of a number.
4856
Standard Form

13. Numbers can also be represented in expanded form.
This means writing the value of a number using the face value and place value of each digit.
The number 4856 in expanded form is:
Method a)
Method b)
4 x x x x 1

14. Try These
3982
23 508
3 x x x
8 x x x 1
6 x x x 100 +
5 x x 1

15. Try These
3 x x x 100 +
8 x x x 10
6 x x x
5 x x 100

16. Expanded Form
Using Powers of 10

17. Expanded Notation Using Powers of 10
Numbers can also be written in expanded form using powers of 10
We will call this expanded form Method C
Knowing Method A and B makes method C easy

18. The number 4856 in expanded form is:
Method a)
Method b)
4 x x x x 1
Method c)
4 x x x x 100

19. Try These
32 906
53 800
40 641
7 x x x x 100
9 x x x x 101
5 x x x x 100