Place Value Study Guide
Test Date: ______________________________
Digits:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Place Value Names and Locations:
The comma is located in between the hundreds place and thousands place.
Place: The LOCATION of a digit in a number
316,758 - The 8 is in the ones place.
316,758 - The 5 is in the tens place.
316,758 - The 7 is in the hundreds place.
316,758 - The 6 is in the thousands place.
316,758 - The 1 is in the ten thousands place.
316,758 - The 3 is in the hundred thousands place.
Value: How much a digit is WORTH.
316,758 - The value is 8 because the 8 is in the ones place.
316,758 - The value is 50 because the 5 is in the tens place.
316,758 - The value is 700 because the 7 is in the hundreds place.
316,758 - The value is 6,000 because the 6 is in the thousands place.
316,758 - The value is 10,000 because the 1 is in the ten thousands place.
316,758 - The value is 300,000 because the 3 is in the hundred thousands place.
Representing Numbers
Standard Form- A way to write numbers using DIGITS
Ex: 4,576
Expanded Form – A way to write the number showing the sum of the value of the digits.
Ex: 4,000 + 500 + 70 + 6
Word or Written Form- A way to write numbers using WORDS
Ex: four thousand five hundred seventy-six
Picture Form/Base Ten Blocks- Using base ten blocks to represent the number
70
4,000
6
500
Reading Numbers in written form:
one = 1
eleven = 11
two = 2
twelve = 12
twenty = 20
three = 3
thirteen = 13
thirty = 30
four = 4
fourteen = 14 forty = 40
five = 5
fifteen = 15
fifty = 50
six =
sixteen = 16
sixty = 60
seven = 7
seventeen = 17
seventy = 70
eight = 8
eighteen = 18 eighty = 80
nine = 9
nineteen = 19 ninety = 90
6
hundred = 100
thousand = 1,000
ten = 10
316,758 = three hundred sixteen thousand, seven hundred fifty-eight
**THE COMMA MAKES YOU SAY THOUSAND**
Comparing Numbers:
>
greater than
4,516
> 4,156
<
less than
=
526
< 652
83
equal to
=
83
=
87
NOT equal
=
12
Rules for rounding:

If the number you are rounding is followed by a 5, 6, 7, 8, or 9,
round the number UP.
Example: 38 rounded to the nearest tens place is 40.

If the number you are rounding is followed by a 0, 1, 2, 3, or 4,
round the number DOWN.
Example: 33 rounded to the nearest tens place is 30.
When you are rounding inside of a big number:

Circle the place in the number that you are rounding to

Underline the digit to the right of the place you circled

If that number is 5 or higher, you will round the number you circled up one and the
digits to the right change to zero. (Digits to the LEFT are LEFT ALONE)

If that number is 4 or lower, the number you circled will stay the same and the digits
to the right change to zero. (Digits to the LEFT are LEFT ALONE)
Ex: Round 4,687 to the nearest thousand.
4, 687
The 6 is greater than 5 so you round the 4 to 5 and the numbers to the right change to 0.
Answer: 5,000
Other ways to remember the rounding rules: