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In mathematics, place value refers to a digit’s location within a number. In a number, each digit has its place. The positions of the digits will enlarge as we represent the number in general form. These positions begin at a unit place, often known as an individual’s position. The digits of a number are arranged from right to left in the following order: units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so forth.

Let’s examine an example to better understand, such as 7231468. The place value of each digit is shown in the picture below.

## Place Value Chart

Place value charts are a useful tool in mathematics for verifying that the digits are positioned correctly. Write the numbers in the normal and standard form after writing the digits in the place value chart in order to precisely determine the positional values of the numbers.

**The numbers are represented by the following ten digits:**

0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |

For your convenience, we have included the Indian System place value chart here. Look through this chart to get the number’s place value.

## Place Value Chart For Indian System

Below is a place value chart for the Indian System.

Place Value Chart For Indian System | ||||||||

Crores | Lakhs | Thousands | Ones | |||||

Ten Crores(TC)(10, 00,00,000) | Crores (C) (1, 00,00,000) | Ten Lakhs (TL)(10,00,000) | Lakhs(L)(1,00,000) | Ten- Thousands (TTh)(10,000) | Thousands (Th)(1000) | Hundreds (H)(100) | Tens(T)(10) | Ones(O) (1) |

### Place Value Chart For International System

Place Value Chart For International System | ||||||||

Millions | Thousands | Ones | ||||||

Hundred- Millions(HM)(100, 000,000) | Ten-Millions(TM)(10, 000,000) | Millions(1,000,000) | Hundred -Thousands (HTh)100,000) | Ten- Thousands (TTh)(10,000) | Thousands (Th)(1000) | Hundreds (H)(100) | Tens(T)(10) | Ones(O) (1) |

## Comparison Between Indian and International System

Five-digit numerals are read the same in both systems. This section will compare the methods for reading numbers in the Indian and international systems.

No. of. Digits | 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 |

## Place Value for Decimals

HundredThousands | TenThousands | Thousands | Hundreds | Tens | Ones | . | Tenths | Hundredths |

- Place value indicates the value of each digit.
- When writing 2-digit integers larger than 20 with a digit other than zero in the place of the zero, use a hyphen.
- You may find out how many hundreds, tens, and ones to use by using a place-value chart.

## Place Value Table

Number | Place Value | Value of Digit |

67,891,234 | Units / Ones | 4 |

67,891,234 | Tens | 30 |

67,891,234 | Hundreds | 200 |

67,891,234 | Thousands | 1,000 |

67,891,234 | Ten thousand | 90,000 |

67,891,234 | Hundred thousand | 800,000 |

67,891,234 | Millions | 7,000,000 |

67,891,234 | Ten million | 60,000,000 |

Even though zeros have no meaning, you still can’t exclude them. They maintain the proper positions of other digits.

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

A digit’s face value is its own value expressed as a number. Every digit in a number, whether it be single, double, triple, or any other number, has a face value. Let’s use examples to help us comprehend.

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

## Difference Between Place Value and Face Value

According to the definition, place value indicates a digit’s location within a particular number, whereas face value indicates the digit’s value.

Let’s use the number 2456 as an example. To see the differences, look at the table below.

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 | One’s Period |

In large numbers, the digits are grouped into three positions. We refer to the groupings as periods. Usually, commas are used to divide the periods.

Let’s use 71502700 as an example of a number. Examine each digit’s location in the table provided below.

Hundred Million | Ten Million | Millions | Hundred Thousand | Ten Thousand | Thousands | Hundreds | Tens | Ones |

7 | 1 | 5 | 0 | 2 | 7 | 0 | 0 |

## Solved Examples

**Example 1:**

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

**Solution:**

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.

**Example 2:**

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

(a) hundreds place (b) hundred thousand place

(c) ten thousand’s place (d) One’s place

**Solution:**

(a) A number in hundreds place is 4

(b) A number in hundred thousand’s place is 7

(c) A number in ten thousand’s place is 8

(d) A number in One’s place is 5

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### Practice Questions

- Find the place value of:
- 2 in 230
- 4 in 1490
- 9 in 129
- 6 in 67878

- Expand the numbers representing the place value of each digit.
- 799
- 56788
- 101000
- 1119

## Frequently Asked Questions – FAQs

### Q1. Describe Place Value. Give an illustration.

The location of every digit in a number is known as its place value. Depending on where they fall in the number, digits can have place values of ones, tens, hundreds, thousands, ten-thousands, and so forth. For instance, 1 in 1002 has a place value of thousands, or 1000.

### Q2 What is 6 in 64 to the nearest place value?

Since 6 tens, or 60, is the place value of 6 in 64, 6 tens plus 4 equals 64.

### Q3 1 in 100 has what place value?

One in one hundred has a place value of hundreds place, or 1 x 100 = 100.

### Q4 In 123456, what is the place value of 2? Increase the number as well.

The place value of 2 in 123456 is ten-thousands, such that, 2 x 10,000 = 20000.

Expanded form of 123456 = 1 x 100000 + 2 x 10000 + 3 x 1000 + 4 x 100 + 5 x 10 + 6.

### Q5 In 209, what is the place value of 0?

Tens are the place value of 0 in 209.

### Q6 What distinguishes face value from place value?

A digit’s place in the number is indicated by its place value, but its precise value is displayed by its face value.

For instance, in 2003, 2 had a place value of thousands but just a face value of 2.