Place Value in Maths

Place value in Maths describes the position or place of a digit in a number. Each digit has a place in a number. When we represent the number in general form, the position of each digit will be expanded. Those positions start from a unit place or we also call it as one’s position. After units, it comes tens, hundreds, thousands, ten thousand, hundred thousands and so on. Let us understand with the help of an example, say 3147286, and see below the place value of each digit.

Place Value

Place Value Chart

  Hundred
Thousands
      Ten
Thousands
Thousands Hundreds Tens Ones . Ones Tenths Hundredths
  • Place value tells you how much each digit stands for
  • Use a hyphen when you use words to write 2-digit numbers greater than 20 that have a digit other than zero in the ones place.
  • A place-value chart tells you how many hundreds, tens, and ones to use.
Number Place Value Value of digit
1,23 4 Units / Ones 4
1,2 34 Tens 30
1, 234 Hundreds 200
1 ,234 Thousands 1,000
7,8 91,234 Ten thousand 90,000
567, 891,234 Hundred thousand 800,000
56 7,891,234 Millions 7,000,000
5 67,891,234 Ten million 60,000,000

Zeros may stand for nothing, but that doesn’t mean you can leave them out. They keep other digits in the correct places.

Thousands Hundreds Tens Ones
2 0 4 0

Think: 2 thousand + 0 hundred + 4 tens + 0 ones

Write: 2,040

Say: Two thousand Forty

Face Value in Maths

Face value of a digit is the value of the digit itself, in a number. Whether the number is single-digit, double-digit, or three-digit or any number, each digit has its face value. Let us understand with the help of examples.

  1. For number 2, 2 is the face value.
  2. For number 89, the face value of 8 and 9 are 8 and 9 respectively.
  3. For 52369, the face value of 3 is 3.

Place Value and Face Value

As we have already discussed the definition of both place value and face value, let us discuss the difference between them. From the definition, we know place value states the position of a digit in a given number, whereas face value describes the value of the digit.

Let us take an example of a number say, 2456. Check the table below to understand the difference.

Digits

Place Value Face Value

2

Thousands

2

4

Hundreds

4

5

Tens

5

6 Units or ones

6


Place Value Through The Millions

    Millions Period   Thousands Period        Ones Period

The digits in large numbers are in groups of three places. The groups are called periods. Commas are usually used to separate the periods.

Let us take an example of a number, 71502700. Check the position of each digit in the given table below.                                       

Hundred Millions  Ten Millions  Millions Hundred Thousands  Ten Thousands  Thousands Hundreds    Tens  Ones
7 1 5 0 2 7 0 0

 

International Place Value System

           MILLION       THOUSANDS            ONES
H.M T.M M H.Th T.Th Th H T O

Example 9 – Write the number 27349811 in the International place value system. Also write it with commas and in words.

MILLION THOUSANDS ONES
T.M M H.Th T.Th Th H T O
2 7 3 4 9 8 1 1

With commas – 27,349,811

In words – Twenty-seven million three hundred forty-nine thousand eight hundred eleven.

Comparison Between The Two Systems

In both the systems 5-digit numbers are read in the same way.

    Indian System                              International System

6-digit numbers                                     1 lakh                =                    100 thousand
7-digit numbers                                     10 lakhs            =                     1 million
8-digit numbers                                      1 crore              =                    10 million
9-digit numbers                                      10 crores           =                    100 million

Example: In the number 783425, write the digit that is in –

(a) hundreds place (b) hundred thousands place

© ten thousands place (d) Ones place

Sol.     Ans. (a) 4   (b) 7   (c) 8   (d) 5.

 

 

Practise This Question

Pavan drew two lines and he measured some angles. He found that 1=5 and so he concluded that the two lines are parallel.

State whether his conclusion is true or false.

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