Podcast
Questions and Answers
What is the value of the digit 7 in the number 7,842?
What is the value of the digit 7 in the number 7,842?
Which of the following expresses the number 2,135 in expanded form?
Which of the following expresses the number 2,135 in expanded form?
What is the word form of the number 4,507?
What is the word form of the number 4,507?
Which number is smaller, 5,312 or 5,231?
Which number is smaller, 5,312 or 5,231?
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In the number 1,804, what place does the digit 8 occupy?
In the number 1,804, what place does the digit 8 occupy?
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What is the value of the digit 3 in the number 5,763?
What is the value of the digit 3 in the number 5,763?
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How should you write the number 1,250 in word form?
How should you write the number 1,250 in word form?
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Which digit in the number 9,482 is in the tens place?
Which digit in the number 9,482 is in the tens place?
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What is the value of the digit 9 in the number 9,071?
What is the value of the digit 9 in the number 9,071?
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Which of the following represents 8,203 in expanded form?
Which of the following represents 8,203 in expanded form?
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Study Notes
Vocabulary
- Place Value: The worth of a digit determined by its position in a number. Example: In 4,523, the 4 in the thousands place equals 4,000.
- Value: The specific worth of a digit influenced by its place value. Example: The value of 4 in 4,523 is 4,000.
- Digit: A single numeral from 0 to 9, each having its own place value.
- Standard Form: Representation of numbers using digits. Example: 4,523.
- Expanded Form: A method of expressing numbers by detailing the value of each digit. Example: 4,523 = 4,000 + 500 + 20 + 3.
- Word Form: Expressing numbers in words. Example: 4,523 = "four thousand five hundred twenty-three."
Place Values
- Ones: The first position from the right. In 4,523, the digit 3 represents 3.
- Tens: The second position from the right. In 4,523, the digit 2 represents 20.
- Hundreds: The third position from the right. In 4,523, the digit 5 represents 500.
- Thousands: The fourth position from the right. In 4,523, the digit 4 represents 4,000.
Place Value Chart
- Thousands: 4
- Hundreds: 5
- Tens: 2
- Ones: 3
Number Forms
- Standard Form: 4,523
- Expanded Form: 4,000 + 500 + 20 + 3
- Word Form: Four Thousand Five Hundred Twenty-Three
Example Problems
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Identify Place Value:
- In 6,432, the value of 6 is 6,000 (thousands place).
- In 3,781, the value of 8 is 80 (tens place).
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Write in Expanded Form:
- 369 in expanded form is 300 + 60 + 9.
- 7,204 in expanded form is 7,000 + 200 + 4.
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Write in Word Form:
- 52 in word form is Fifty-two.
- 9,107 in word form is Nine thousand one hundred seven.
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Comparing Numbers:
- Between 4,523 and 4,752, 4,752 is greater due to the higher hundreds place (7 vs. 5).
- Between 3,204 and 3,240, 3,204 is smaller as its tens place (0) is less than that of 3,240 (4).
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Description
This quiz focuses on the fundamental concepts of place value, including the definitions of key terms such as digit, standard form, and expanded form. Engage with examples to reinforce your understanding of how to express numbers in various forms and recognize the worth of each digit based on its position.
