Place value - Definition with Examples

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What is Place Value?

In math, every digit in a number has a place value. 
Place value can be defined as the value represented by a digit in a number on the basis of its position in the number. 


Frequently Asked Questions

  • Why is understanding place value important?

    Place value has its application in many mathematical concepts. It builds the foundation for regrouping, multiplication, etc.

  • What manipulatives are used to teach place value?

    Manipulatives such as base-10 blocks, snap cubes, unifix cubes, beans, etc., are used to develop place value understanding.

  • Does the place value of a digit increase as it moves from left to right?

    No. The place value of a digit decreases by 10 times as it moves from left to right.

  • What is the difference between the face value and the place value of a digit?

    The face value of a digit is the magnitude that it possesses naturally. It is independent of the digit's position in the number. The place value of a digit depends on its position in the number. For example, the 5 in the number 253 has a face value of 5 and a place value is 50.

Practice Problems on Place Value

Pick the correct answer
1.   As per the place value rules, what is the correct placement of commas in the number 7901856?
2.   Which digit is at the hundredths place in the number 456.738?
3.   What is the place value of 5 in the decimal number 42.561?
4.   How many zeroes are there in the standard form of the number 6 million?
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