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Questions and Answers
What is place value in mathematics?
Place value in mathematics refers to the value represented by a digit in a number based on its position in the number.
How is place value determined in a number?
Place value is determined by the position of a digit in a number.
Provide an example demonstrating the concept of place value.
The place value of 7 in 3,743 is 7 hundred or 700, while the place value of 7 in 7,432 is 7 thousand or 7,000.
What is a place value chart and how is it useful?
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How does the place value of a digit change as we move left or right on the place value chart?
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Study Notes
Place Value in Mathematics
- Place value is the value of a digit in a number based on its position or place in the number.
- It is the value of a digit in a number that depends on its location.
Determining Place Value in a Number
- In a number, each digit has a place value based on its position, starting from the right: units/hundreds, tens, hundreds, thousands, and so on.
Example of Place Value
- In the number 456, the place value of each digit is:
- 4 (hundreds place): 4 x 100 = 400
- 5 (tens place): 5 x 10 = 50
- 6 (units place): 6 x 1 = 6
Place Value Chart
- A place value chart is a table that displays the place value of each digit in a number, from right to left.
- It is useful for:
- Visualizing the place value of each digit
- Understanding the relationship between digits in a number
- Performing calculations and operations on numbers
Change in Place Value
- As you move left on the place value chart, the place value of a digit increases by a factor of 10.
- As you move right on the place value chart, the place value of a digit decreases by a factor of 10.
- This means that the place value of a digit changes exponentially as you move left or right on the chart.
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Description
Test your understanding of place value with this quiz. Explore the concept of place value and its significance in numbers through a series of examples and facts.
