Place Value and Face Value

A number is constructed by arranging digits in specific groupings.

  • Every digit is assigned a distinct position, known as its “Place.”
  • Each digit has a value depending on its place called the Place Value of the digit.
  • The “Face Value” of a digit for any place in the given number is the value of the digit itself.
  • The Place Value of a digit can be calculated by multiplying its face value by the numerical value of its place.

Place Value in Mathematics

Place Value in mathematics refers to the value of a digit due to its position or location of a digit within a number, i.e., the place of any digit with respect to decimal. Every digit within a number holds a specific place. When we represent the number in standard notation, the placement of each digit is expanded. This arrangement starts from the rightmost position, known as the unit’s place or one’s position. The sequence of place values, moving from right to left, holds units, tens, hundreds, thousands, ten thousand, hundred thousand, and so forth.

In this article, we will discuss the concept of Place Value in Maths in detail including its definition, properties, formula, and important terminology of Place Value. Other than that, we will also discuss types of Place Value Chart, some solved problems, and provide practice questions for a better understanding of the concept of this article.

Table of Content

  • Meaning of Place Value
  • How to Find the Place Value?
  • Properties of Place Value
  • Place Value Chart with Decimals
  • Place Value and Face Value
  • Difference Between Place Value and Face Value

Similar Reads

What is Place Value?

The position of a digit determines the Place Value in a number. Each digit holds a specific value based on its position within the number. It’s important to note that the same digits can have varying place values in a number. The determination of Place Value begins from the right side, known as the one’s position....

How to Find the Place Value?

The Place Value of a digit is determined by its position within a number, ensuring that each digit holds a unique value within the number. To know how place value is determined, we observe that the power of 10, representing the place value, increases by one as we move from right to left in the number....

Properties of Place Value

There are some key properties of place value given below:...

Place Value Chart

Place Value Charts for numbers help us to ensure proper alignment of digits according to their respective places. These charts provide a clear representation of where each digit should be positioned within a number. To identify the positional values of different digits in a number accurately, we write the individual digits in a number and then utilize a number place value chart to visually inspect their positions. In order to make the process, especially with larger numbers, we divide them into distinct periods separated by commas. Generally, there are two types of place value charts that are widely utilized for this purpose:...

Place Value Chart with Decimals

The Decimal Place Value Chart represents the significance of digits in a decimal number, a system that combines whole numbers and fractions through a decimal point. This point divides the whole number portion from the fractional part. While the whole numbers follow the conventional place value chart of ones, tens, hundreds, and so forth, there is a difference in place value for digits to the right of the decimal point....

Place Value and Face Value

A number is constructed by arranging digits in specific groupings....

Difference Between Place Value and Face Value

The key differences between Place Value and Face Value in math is listed below:...

Solved Examples on Place Value

Example 1: Determine the Place Value of the digit 5 in the number 84,520....

Practice Questions on Place Value

Question 1: Identify the digit situated at the place value of ten thousand within the number 883,425....

Place Value – FAQs

What does Place Value refer to?...

Contact Us