Place Value of Numbers: Explained - Embibe
  • Written By Sumana_C
  • Last Modified 18-07-2022
  • Written By Sumana_C
  • Last Modified 18-07-2022

Place Value of Numbers: Detailed Explanation

Place Value of Numbers: Students must understand the concept of the place value of numbers to score high in the exam. In mathematics, place value refers to the relative importance of each digit in a number. These locations begin at the unit’s location, that is, one’s place. The order of the place value of digits is expressed in the following order: ones/units, tens, hundreds, thousands, ten thousand, and so on.

Place Value: Overview

The value of each digit in a number is known as the place value. Every digit in a number has a distinct value depending on its location. The value of a digit depends on its position in the number, which might result in a number having two comparable digits with distinct values.

What does Place Value Mean?

Place value refers to how much a digit is worth in relation to where it is in a number, such as the ones, tens, hundreds, and so forth. For instance, 5 in 3458 has a place value of 5 tens, or 50. However, 5 thousand, or 5,000, is used to represent the place value of 5 in 5781. It is crucial to understand that a digit can be the same, but its value relies on its position in the number.

Example: In the number 543, write down the place value of each digit.

We have expressed the correct place value of each digit in the number.

  • 3 × 1 = 3 or 3 ones
  • 4 × 10 = 40 or 4 tens
  • 5 × 100 = 500 or 5 hundreds

Place Value Chart

We can use place value diagrams to check that the digits are positioned correctly. The right place for each digit in a number is shown on a place value chart. We must first write the given digits in the place value chart to check their position before we can accurately determine the positional values or worth of different digits in a number. The higher numbers are divided into periods separated with the aid of commas to simplify the process. The most widely used place value charts fall into two categories:

  • Chart of Indian place values
  • International table of place values

Based on the number system that both charts use, we might refer to the International or Indian place value chart. The international place value chart is based on the internationally recognised numeral system, while the Indian place value chart is based on the Indian numeral system. The positioning of the separators (commas) and the name of various place values are the two fundamental differences between the Indian and the International numeric systems.

Place Value of Numbers: Indian Place Value Chart

Get introduced to a table, the Indian place value chart used with the Indian numeral system to determine the value of each digit in a number based on its position. A 10-digit number is divided into periods of ones, thousands, lakhs, crores, and so on in this place value chart. The 3:2:2 rule is used to separate these integers with commas. This indicates that beginning on the right, the first comma should be placed after three digits, followed by commas every two digits. Consider the commas in the following number, for instance: 5,43,13,62,283

Look at the Indian place value chart in the section below, which displays the place value of digits up to ten crores.

PeriodsFiguresPlaces
CroresTen Crores100000000TC
CroresCrores10000000T
PeriodsFiguresPlaces
LakhsTen Lakhs1000000TL
LakhsLakhs100000L
PeriodsFiguresPlaces
ThousandsTen Thousand10000T-TH
ThousandsThousands1000TH
PeriodsFiguresPlaces
HundredsHundreds100H
TensTens10T
OnesOnes1O

Place Value of Numbers: International Place Value

Worldwide, using the International Numerical System, people count in units of ones, tens, hundreds, thousands, ten thousand, hundred thousand, millions, and so on. The numbers in this place value chart are organised into periods of ones, thousands, millions, and so forth. We use a comma to separate each set of three digits, starting from the right. Look at the commas in the following number, for instance: 135,912,332. Take note of the international place value chart, which is provided below and displays the place value of digits up to 100,000,000.

PeriodsFiguresPlaces
MillionsHundred Millions1009
MillionsTen Millions108
MillionsMillions17
PeriodsFiguresPlaces
ThousandsHundred Thousands100,0006
ThousandsTen Thousands10,0005
ThousandsThousands10004
PeriodsFiguresPlaces
OnesHundreds1003
OnesTens102
OnesOnes11

Printable Place Value Charts

A printable place value chart simplifies learning and solving problems involving place value systems. Place values are printed across blank spaces in these charts in a tabular format for each digit in a number. While using these charts to solve a problem, we may directly set the digits in their proper positions following the one in the number, and we can assess their place values appropriately.

Place Value Chart with Decimals

The place values of the digits in a decimal number are displayed on the decimal place value chart. A decimal point is used to express both whole numbers and fractions in a decimal number system. This decimal point sits between the component of whole numbers and the component of fractions. The place value of the numbers to the right of the decimal point differs slightly from that of the whole number portion, which follows the standard place value chart of ones, tens, hundreds, and so on. The place values start at tenths and increase as we move to the right of the decimal point, becoming hundredths, thousandths, and so forth. The one-tenth (1/10) position is the first place to the right of the decimal, and the following one is 1/100 and continues.

Place Value vs Face Value

Any number’s digit’s face value is the digit itself. Regardless of whether a number is single, double, or any other number, each digit has a face value. Let’s use the following examples to grasp this better.

If the provided number is 4, it has a face value of 4 and a place value of 4 (4 ones = 4*1 = 4).

7 has a face value of 7 and a place value of 70 for the given number 78 (7 tens = 7*10 = 70).

The place value of 3 in the number 52369 is 300, but its face value is 3 (3 hundreds = 3*100 = 300).

Difference between Face Value and Place Value

The place value of a digit in a given integer describes that digit’s location. Face value, on the other hand, is the actual value of the number. Let us use the number 1437 as an example. The table below explains the difference between the numbers’ place value and face value.

Digits in the Number 1325Face ValuePlace Value
11 Thousands (1*1000) = 10001
33 Hundreds (3*100) = 3003
22 Tens (2*10) = 202
55 Units or Ones (5*1) = 57

Place Value in Numbers

We can express the place value in numbers in two different ways. For instance, we can express the place value of 4 in 1469 as 4 hundred or 400. Let us take another example. We can express the place value of 4 in 4592 as 4 thousand or 4,000.

To put it simply, we multiply the number by the name of the column it belongs under to convey place value in the numeric form. Let us take the number 76529. To find the place value of 5, for instance, we would first place the supplied number under the place value chart, ensuring that each digit is correctly positioned under its corresponding column. As we can see in this instance, 5 is located in the hundreds column. Therefore, we can state that 5 multiplied by 100 equals 500. As a result, in the provided number, 5 has a place value of 500.

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