 # 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.

• 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   