Place Value Vocabulary

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Place Value Vocabulary
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Digits
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What is the Common Meaning?
4
Fingers. Your Fingers are Digits
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What is the mathematical meaning?
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The Digits are the Numbers 0 through 9.
0 1 2 3 4 5 6 7 8 9
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How are the common and mathematical meanings
related?
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Our number system is based on 10, the number of
fingers we have.
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How many digits are there in the number 4,056?
10
4,056 Answer 4
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How many digits are there in the number 11,302?
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11,302 Answer 5
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How many digits are there in the number 306,031?
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306,031 Answer 6
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Period
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What is the Common Meaning?
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A portion of time into which an event is divided.
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What is the mathematical meaning?
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A group of three digits in a number.
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A comma separates every group of three digits,
counting from right to left. Examples 456 2,305 9
4,049 385,023
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Thousands Period Ones
Period
Hundred Thousands
Ten Thousands
Thousands
Hundreds
Tens
Ones
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A comma separates the ones period from the
thousands period.
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For instance, the number 1,542 falls into two
periods. Notice that commas are used between
periods.
Thousandths Period
Ones Period

Tens
Hundredths
Thousands
Ones
1
5
4
2
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How are the common and mathematical meanings
related?
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One relates to dividing time one relates to
dividing digits.
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• Appropriately place a comma
• 7680
• 41207
• 503780
• 95201

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• Appropriately place a comma
• 7 , 680
• 41 , 207
• 503 , 780
• 95 , 201

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Place
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What is the Common Meaning?
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Space
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What is the mathematical meaning?
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The space a digit occupies in a number.
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How are the common and mathematical meanings
related?
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Both meanings are similar.
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Standard Form
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What is the Common Meaning?
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The most common way of writing or doing something.
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What is the mathematical meaning?
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The regular way of writing a number.
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How are the common and mathematical meanings
related?
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Both meanings are similar.
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Expanded Form
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What is the Common Meaning?
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To write in detail.
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What is the mathematical meaning?
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Shows the actual value of each digit.
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For instance 1,542 How would you write it in
expanded form?
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1,542 1,000 500 40 2
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How are the common and mathematical meanings
related?
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Both meanings are similar.
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Practice Problems
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Write each number in standard form.

• 50,000 400 20 8
• 200,000 6,000 90 1
• Sixty-four thousand, ten
• Two hundred ninety-five thousand, eight hundred
  sixty four

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Write each number in standard form.

• 50,428
• 206,091
• 64,010
• 295,864

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Write each number in expanded form.

• 4,362
• 28,567
• 529,680
• 670,415

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Answers

• 4,000 300 60 2
• 20,000 8,000 500 60 7
• 500,000 20,000 9,000 600 80
• 600,000 70,000 400 10 5

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Thats All Folks!