Algebra2go®
Objective 1
Place value
Determine the place value of a digit in a
number.
The position of a digit in a number
determines its place value.
Example 1: Find a pattern for place value in
a whole number.
3 9 0 , 5 8 4 , 7 2 6.
Ones place.
Tens place.
Hundreds place.
One-millions place.
Ten-millions place.
Hundred-millions place.
One-thousands place.
Ten-thousands place.
Hundred-thousands place.
Answer the following homework questions
using the whole number given in Example 1.
1) What pattern occurs with place values?
2) How are the commas being used?
3) What is the place value of the 9?
4) The 4 is in which thousands place?
5) The digit to the left of the decimal is which place value?
6) How many digits are always placed between two commas?
Page 1 of 4
Algebra2go®
Objective 2
Learn how to say and write numbers
using digits.
Note: Each group of three digits in a number
is called a period.
Example 2: Define each period in the number
below.
34,436,781,525,372
Ones
Thousands
Millions
Billions
Trillions
Example 3: Write each of the following word
statements as a number using digits.
a) Four thousand, three hundred twelve.
4 comma 3 1 2
b) Eighty seven thousand, one hundred forty-one.
8 7 comma 1 4 1
c) Seven hundred fifty three thousand, five
hundred ninety-eight.
Page 2 of 4
7 5 3 comma 5 9 2
Algebra2go®
Example 4: Write each of the following
numbers as a word statement.
a) 3 , 5 0 1
Three thousand, five hundred one.
b) 4 3 , 8 6 2
Forty three thousand, eight hundred sixty-two.
c) 7 0 4 , 0 1 6
Seven hundred four thousand, sixteen.
Objective 3
Learn how to write numbers in expanded
form.
Understanding place value allows us to
represent a large number as a simple addition
problem. Seeing numbers in this form is a
good way to develop good addition techniques!
Example 5: Write each of the following
numbers in expanded form.
a) 856
800 + 50 + 6
b) 1,397
Page 3 of 4
1,000 + 300 + 90 + 7
Algebra2go®
C) 23,512
20,000 + 3,000 + 500 + 10 + 2
d) 105,408
100,000 + 5,000 + 400 + 8
Example 6: Calculate the number written in
expanded from by performing each addition
problem.
a) 500 + 80 + 7 = 587
b) 2,000 + 300 + 50 + 9 = 2,359
c) 40,000 + 2,000 + 40 + 1 =
d) 200,000 + 7,000 + 600 = 207,600
Answer the following homework questions.
7) Write the following word statement as a number using
digits; Two thousand, seven hundred thirty-eight.
8) Write the following number as a word statement; 406,348.
9) Write the number 315,006 in expanded form.
10) What number is equal to 70,000 + 5,000 + 80 + 3?
Page 4 of 4