Place Value

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Place Value
Standard: 3.N.1.1
Reading, modeling, writing, and interpreting whole
numbers up to 10,000. Comparing and ordering
numbers up to 1,000.
Concept Skill:
Place Value
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A place value is the value assigned to the place that a digit
occupies in a number. (Example: In 346, the digit 3 is in the
hundreds place and has a value of 300).
You can use a place-value chart to help you find the value of
a number. Using the example in the number 346, each digit
has a value.
Hundreds
Tens
Ones
3
4
6
There are 3 hundreds: 300.
There are 4 tens: 40
There are 6 ones: 6
“Teacher Sample Materials”
Place Values
Example 1:
What is the value of “8” in the number 784?
Hundreds
Tens
Ones
7
8
4
Step 1: Draw out a place-value chart.
Numbers, such as 784, have three digits. Each digit is a
different place value.
Step 2: Find the value of the number it is asking you
for.
The first digit is called the hundreds' place. It tells you how
many sets of one hundred are in the number. The number
784 had seven hundreds.
The middle digit is the tens' place. It tells you that there are
8 tens in addition to the seven hundreds.
The last or right digit is the ones' place which is 4 in this
example. Therefore, there are 7 sets of 100, plus 8 sets of
10, plus 4 ones in the number 784.
The value of number “8” is 80.
Example 2:
Which digit is in the thousands place in the number
6,392?
Step 1: Draw out your place-value chart.
Thousand
6
Hundreds
3
Tens
Ones
9
2
Step 2: What is the question asking?
(You need to find out which number is in the thousands
place).
Step 3: Find the digit in the thousands place.
(The number 6 is in the thousands place). Its value is 6
thousand.
“Student Practice Materials”
Thousand
Hundreds
Tens
Ones
Sara made a 4 digit number using counters. Write her
four digit number on the place value chart above.
Make your own 4 digit number by writing it on the
place value chart. Then show your number using
counters.
Thousand
Hundreds
Tens
Ones
Two thousand, three hundred five people live in the
town of Roswell.
Which of these is another way to write two thousand,
three hundred and five?
A.
B.
C.
D.
2,035
2,305
2, 000,305
20,003,005
Johnny has six thousand, eight hundred seventy-two
baseball cards.
Which of these is another way to write six thousand,
eight hundred seventy-two?
A.
B.
C.
D.
6,072
6000,872
8000,672
6,872
Thousand
4
Hundreds
9
Tens
Ones
0
3
Write the 4 digit number above using words.
Write each number in expanded form.
a. 9,245 = _______ + _______ + _______ + _______
b. 1,203 = _______ + _______ + _______ + _______
c. 7,889 = _______ + _______ + _______ + _______
d. 8,035 = _______ + _______ + _______ + _______
e. 3,476 = _______ + _______ + _______ + _______
f. 2,400 = _______ + _______ + _______ + _______
Write these numbers in standard form.
g. 6,000 + 400 + 30 + 6 = ______________
h. 7,000 + 50 + 8 = ______________
i. 4,000 + 700 + 7 = ______________
j. 9,000 + 900 + 90 + 9 = ______________
Write the number that is in the thousands place and
give its value.
26, 945
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___________________________________________
___________________________________________
___________________________________________
Thousand
5
Hundreds
1
Tens
Ones
3
6
Sara made a 4 digit number using counters. Write her
four digit number on the place value chart above.
Make your own 4 digit number by writing it on the
place value chart. Then show your number using
counters.
Thousand
Hundreds
Tens
Ones
Answers will vary but counters should match the
number given on the chart
Two thousand, three hundred five people live in the
town of Roswell.
Which of these is another way to write two thousand,
three hundred and five?
E.
*F.
G.
H.
2,035
2,305
2, 000,305
20,003,005
Johnny has six thousand, eight hundred seventy-two
baseball cards.
Which of these is another way to write six thousand,
eight hundred seventy-two?
E.
F.
G.
*H.
6,072
6000,872
8000,672
6,872
Thousand
4
Hundreds
9
Tens
Ones
0
3
Write the 4 digit number above using words.
___________________________________________
Four thousand nine hundred three________________
___________________________________________
___________________________________________
___________________________________________
Write each number in expanded form.
a. 9,245 = _9000__ + __200__ + __40___ + __5___
b. 1,203 = _1000__ + __200__ + __0___ + ___3___
c. 7,889 = _7000__ + __800__ + __80__ + ___9___
d. 8,035 = _8000__ + __0___ + __30___ + ___5___
e. 3,476 = _3000__ + _400___ + __70___ + __6___
f. 2,400 = _2000__ + _400__ + ____0__ + ___0___
Write these numbers in standard form.
g. 6,000 + 400 + 30 + 6 = ___6,436____
h. 7,000 + 50 + 8 = ____7,058____
i. 4,000 + 700 + 7 = __4,707______
j. 9,000 + 900 + 90 + 9 = __9,999______
Write the number that is in the thousands place and
give its value.
26, 945
__6, the value of the thousands place is 6000._____
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