**Numbers**

**Place Value and Face Value for Class 3 Math**

This learning concept is about the 3-digit number and the introduction of a 4-digit number. Here students will learn how to write the 3-digit number in words, the place value and face value of 3-digit numbers and the difference between them. Also, they will get to know about their expanded form of math.

Also, the student will learn to

- Identify the greatest 2-digit number, the smallest 3-digit number, the greatest 3-digit number and the smallest 4-digit number.
- Write the 3- digit numbers in words and write in expanded form.
- Determining place value and the face value of the numbers.

This concept is explained to class 3 students using examples, illustrations and concept maps. At the end of the page, two printable worksheets with solutions are attached for the students.

Download the worksheets and solutions to assess our knowledge of the concept.

Number is an arithmetic value used for representing the quantity and used in making calculations. The symbols that are used to denote the numbers are called numerals.

Numbers are of various kinds. We have a long list that includes cardinal numbers, ordinal numbers, etc.

- Cardinal numbers define how many of something are there in a list such as one, five, ten etc.
- Ordinal numbers explain the position of something in a list.
- The smallest two-digit is 10. In words it is written as ‘ten’. We represent ten through a block of 10 unit cubes.
- The Greatest two-digit number is 99. In words it is written as ‘Ninety-nine’.
- 100 is written in word as Hundred.
- The smallest three-digit number is 100. We represent 100 through ten blocks of 10 as shown below.
- The greatest three-digit number is 999.
- 999 in words is written as ‘Nine hundred and ninety-nine’.
- 1000 is written as ‘One Thousand’.

## How Many Two-digit Numbers Are There?

99 can be represented by 9 ten blocks and 9 unit cubes as shown below.

If we add one more block with 99, then we get 100.

Easily we can count that there are 100 blocks of equal sizes.

So, 99 + 1 = 100

Three-digit Number

99 can be represented by 9 hundred blocks and 9 ten blocks.

Adding one smaller block with 999 results in 1000.

Easily we can count that there are 1000 blocks of equal sizes.

So, 999 + 1 = 1000

Write Three-Digit Numbers in Words

Here it is explained with an example.

Examples: Write these number in words:

(i)217 (ii) 408 (iii) 480 (iv) 699

**Answer:**

217 is written as Two hundred and seventeen.

408 is written as Four hundred and eight.

480 is written as Four hundred and eighty.

699 is written as Six hundred and ninety-nine.

## 4-Digit Number

- The smallest four-digit number is 1000.
- The greatest four-digit numbers is 9999.

We represent 1000 through a cube of 10 ten-blocks.

## What Is Place Value and Face Value?

## Place Value of Numbers:

- Place value is the value of each digit in a number.
- To get the Place value of a digit in a number,
- Multiply the digit with 100, if the digit is in the hundred’s place
- Multiply the digit with 10, if the digit is in the ten’s place.
- Multiply the digit with 1, if the digit is in one’s place.

Here, it is explained with an example.

Examples: Write the place value of the digits in the numbers

a)368 b)108 c) 390

**Answer:**

The place value of 3 is 3 × 100 = 300.

The place value of 6 is 6 × 10 = 60.

The place value of 8 is 8 × 1 = 8.

The place value of 1 is 1 × 100 = 100.

The place value of 0 is 0 × 10 = 0.

The place value of 8 is 8 × 10 = 80.

The place value of 3 is 3 × 100 = 300.

The place value of 9 is 9 × 10 = 90.

The place value of 8 is 0 × 1 = 0.

## Face Value of Numbers:

Face value is the actual value of a digit in a number.

Examples: Face value of the digit 6 in the number 634.

**Answer:**

6 is in the hundreds’ place.

Hence, the face value of the digit 6 in the number 634 is 6.

One should not confuse between the place value and the face value of a digit in a number.

Difference Between Place Value and Face Value:

Place Value | Face Value |
---|---|

1) Place value represents a digit in a number according to its position in the number. | 1)Face value is the actual value of a digit in a number |

2)To get the place value of a number, we multiply the digit value with its numerical value. | 2) The face value of a digit is the number itself. |

Expanded Form Math

The number that is represented by the sum of each digit multiplied by its place value is called the expanded form of the number.

Here it is explained with an example.

Examples: Write the expanded form of the numbers

a) 789 b) 605

**Example:**a) 789 = 700 + 80 + 9

b) 605 = 600 + 0 + 5