1. Place Value
A digit is a number 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 that names a place-value location.
For large numbers, digits are separated by commas into groups of three, called periods.
Each period has a name: ones, thousands, millions, billions, trillions, and so on.
Ones
Thousands
Millions
Billions
Trillions
PLACE-VALUE CHART
Hundreds
Tens
Ones
Thousands
Millions
Billions
Trillions
PLACE-VALUE CHART
Hundreds
Tens
63 billions, 748 millions, 28 thousands, 952 ones
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2. When a whole number is written using the digits 0  9 it is said to be in the standard form. The position that each digit occupies determines its place value.
Example 1.
What does the digit 4 mean in each number?
a. 4 thousands
b. 4 hundred thousands
c. 4 billions
Solution
a. 234,598
b. 456,901
c. 24,355,567,222
Your Turn Problem #1
,289
,570
3. 37,218,021,593
Solution
What does the digit 7 mean in each number?
1. 7 ten thousands
2. 7 tens
3. 7 billions
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3. Writing numbers in expanded notation.
34,123 = 3 ten thousands + 4 thousands + 1 hundred + 2 tens + 3 ones
= 30,000 +4,
This number can be written in what is called expanded form, shown below:
Standard Notation: 34,123
Example 2.
Write 74,289,416 in expanded notation.
Answer: 70,000, ,000, , , ,
Your Turn Problem #2
Write 5,034,319 in expanded notation.
Answer: 5,000, , ,

4. seven hundred eighty-nine
Writing numbers in words.
Procedure: When asked to rewrite a number using words:
Proceeding left to right, write in words the number in each period, then write its period name (example: trillion, million, etc...), then write a comma, then proceed to the next period, etc... Note: The period on the right (the last period) has no period name.
Notes: 1. Commas are used after each period.
2. The word “and ” is only used for numbers which have decimals.
3. Hyphens are used for the numbers except for the multiples of 10.
Examples: 23: twenty-three
57: fifty-seven
40: forty (no hyphen is necessary)
Example 3. Write a word name for the following.
a) 123 = one hundred twenty-three
= fifty-six thousand,
seven hundred eighty-nine
b) 56, 789
Answers
a) 123.
b) 56,789.
Your Turn Problem #3
b) 3,429,718.
a) 9,207
a) Nine thousand, two hundred seven
Three million, four hundred twenty-nine thousand, seven hundred eighteen
Answers

5. Example 4a. Three million, two hundred thirty-five thousand, eight hundred eleven
Writing numbers with digits instead of words
Procedure: When asked to rewrite a written number in words into numbers using digits:
Proceeding left to right, for each period (separated by commas) write the number using digits and place commas where they are placed in the written form using word. If a period is not written, write “000”, and continue to the next period.
Example 4b. Four billion, twenty million, three hundred forty-eight
3, ,
Solution:
3,235,811
4, , ,
Solution:
4,020,000,348
Note: 000 is for the thousands period.
Your Turn Problem #4
a) One hundred thirty-five thousand, four hundred two
b) Four billion, four hundred eight thousand, forty-six
b) 4,000,408,046
a) 135,402
Answers
The End
B.R.
6-1-08