1. Introduction to place value and whole numbers
Prof. Radcliffe

2. Objectives Identify whole numbers
Give the value of each digit in a number
Write a number in expanded form
Write a number in words
Write a number with digits instead of words
Visualize large numbers

3. What is a whole number?
The whole numbers (or counting numbers) are 0, 1, 2, 3, 4, etc.
They do not include negative numbers or fractions.
Our number system is based on the number 10 (decimal).
We write all numbers using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
The positions of the digits in a number determine the values of the digits. This is called place value.

4. Hundred Thousands Column
Place Value
Millions Column
Hundred Thousands Column
Ten Thousands Column
Thousands Column
Hundreds Column
Tens Column
Ones Column
1,000,000
100,000
10,000
1,000
100 10 1
The first digit on the right is in the ones column.
The next digit to the left of the ones column is in the tens column.
Each time we move to the left, the columns get 10 times bigger.

5. Example: Place Value
Find the value of each digit in the number 6,081,459.
6,081,459 = 6,000, , ,
This is called expanded form.
Digit
Value
Words 6
6,000,000
Six million
Zero 8
80,000
Eighty thousand 1
1,000
One thousand 4
400
Four hundred 5 50
Fifty 9
Nine

6. Naming Large Numbers
One hundred twenty-three trillion, four hundred fifty-six billion, seven hundred eighty-nine million, twelve thousand, three hundred forty-five.
Trillions
Billions
Millions
Thousands
Ones
Hundreds
Tens 1 2 3, 4 5 6, 7 8 9, 2, 3

7. One thousand = 1,000 = 103
This cube contains 1,000 magnetic spheres (10 x 10 x 10 = 1,000). A typical adult horse weighs about 1,000 pounds.
Image Source:

8. One million = 1,000,000 = 106 One million is one thousand thousands.
This clear lucite case holds one million pennies.
The maximum takeoff weight of an Airbus A380 is about one million pounds.

9. One billion = 1,000,000,000 = 109
One billion is one thousand millions.
The Golden Gate Bridge weighs about two billion pounds.

10. One trillion = 1,000,000,000,000 = 1012
One trillion is one thousand billions.
The distance to the nearest star (except the Sun) is about 25 trillion miles.
The total weight of all humans is about half a trillion pounds.

11. Which of these are whole numbers?27
–14
3.6
1,000,000,001
2/5
Answer: a, c, e

12. Find the value of each digit in the number 987,654,321.
Words 9
900,000,000
Nine hundred million 8
80,000,000
Eighty million 7
7,000,000
Seven million 6
600,000
Six hundred thousand 5
50,000
Fifty thousand 4
4,000
Four thousand 3
300
Three hundred 2 20
Twenty 1
One

13. Write the number 987,654,321 in words
Nine hundred eighty-seven million, six hundred fifty-four thousand, three hundred twenty-one.

14. Write the number 6,000,450,000,000 in words.
Six trillion, four hundred fifty million.

15. Write the number 40,319 in expanded form.
40,

16. Write the number using digits: Seventeen billion, two hundred eleven million.
17,211,000,000