Class 2 Exam  >  Class 2 Notes  >  Mathematics for Class 2  >  Chapter Notes: 3-Digit Numbers

3-Digit Numbers Class 2 Notes Maths

Counting 3 Digit Numbers

Three-digit numbers in terms of hundreds can be written as:

3-Digit Numbers Class 2 Notes Maths

  • 10 tens = 100 or 1 hundred
  • 20 tens  = 200 or 2 hundreds
  • 30 tens  = 300 or 3 hundreds
  • 40 tens  =  400 or 4 hundreds
  • 50 tens  =  500 or 5 hundreds
  • 60 tens  =  600 or 6 hundreds
  • 70 tens  =  700 or 7 hundreds
  • 80 tens  =  800 or 8 hundreds
  • 90 tens  =  900 or 9 hundreds
  • 100 tens  =  1000 or 10 hundreds = 1 thousand

Do you know?

  • 1000 is the smallest 4-digit number. 
  • 999 is the largest 3-digit number. 
  • 100 is the smallest 3-digit number. 
  • 99 is the largest 2-digit number.

Place Value of a Number

The place value of a digit depends on the position of the digit in the place value chart:

3-Digit Numbers Class 2 Notes Maths

  • The place value of 4 is 4 hundred or 400.
  • The place value of 6 is 6 tens or 60.
  • The place value of 9 is 9 ones or 9.

Question for Chapter Notes: 3-Digit Numbers
Try yourself:The digit at the hundreds place in the number 712 is ______.
View Solution


Face Value of a Number

In a numeral, the face value of a digit is the actual value of the digit, at whatever places it may be.

Thus, in the numeral 569, 

  • the face value of 5 is 5;
  • the face value of 6 is 6; 
  • the face value of 9 is 9.

Expanded Form of Numbers

To express a number as a sum of place values of its digits is called expanded form.

In the numeral 29,

3-Digit Numbers Class 2 Notes Maths

3-Digit Numbers Class 2 Notes Maths


Q.1. Write 4 8 2 in expanded form.

3-Digit Numbers Class 2 Notes Maths

3-Digit Numbers Class 2 Notes Maths


Question for Chapter Notes: 3-Digit Numbers
Try yourself:Write the short form for following expanded numbers. 700 + 60 + 8 =______.
View Solution


Comparison of Three-Digit Numbers

To compare 3-digit numbers, first we compare the digits at the hundreds place and then tens place and at last the ones place.

Let us compare the numbers 528 and 536.
Which one is lesser?

3-Digit Numbers Class 2 Notes Maths

Here digits at hundreds places in both the numbers are same. So, we compare tens place digits of both numbers.
Since 2 < 3
So, 528 < 536.
We say that 528 is less than 536.

Let us now compare 782 and 789. Which one is greater?

3-Digit Numbers Class 2 Notes Maths

Digits at hundreds and tens places in both the numbers are same. So, we compare digits at ones place.
Since 9 > 2
So,  789 > 782.
We say that 789 is greater than 782.

Note: A one-digit number < a two-digit number < a three-digit number.

Ascending and Descending Order

 

Ascending order: Ascending is increasing (i.e., small → big).

Example: Arrange these numbers in ascending order (i.e., smallest to greatest).  
498, 567, 834, 715

In the above numbers, the smallest number is 498 and the greatest number is 834.
Ascending order is: 498, 567, 715, 834
or
498 < 567 < 715 < 834

Descending order: Descending is decreasing (i.e., big → small).

Example: Arrange these numbers in descending order (i.e., biggest → smallest).
826, 736, 582, 914

In the above numbers, the largest number is 914 and the smallest number is 582.

Descending order is: 914, 826, 736, 582
or
914 > 826 > 736 > 582

Even and Odd Numbers

Even numbers

Let us take a collection of 6 apples.
3-Digit Numbers Class 2 Notes Maths
Group these apples into pairs (i.e., set of 2 apples each).
3-Digit Numbers Class 2 Notes Maths


Is there any apple left? No.
So, 6 can be fully grouped into pairs. Such numbers which can be fully grouped into pairs are called even numbers.

Note: Even numbers have 0, 2, 4, 6 or 8 at ones place.

Odd numbers

Let us take a collection of 7 oranges.
3-Digit Numbers Class 2 Notes Maths
Group these oranges into pairs (i.e., set of 2 oranges each).
3-Digit Numbers Class 2 Notes MathsIs there any orange left? Yes, one.
So, 7 cannot be fully grouped into pairs.
Such numbers which cannot be fully grouped into pairs are called odd numbers.

Note: Odd numbers have 1, 3, 5, 7 or 9 at ones place.

The document 3-Digit Numbers Class 2 Notes Maths is a part of the Class 2 Course Mathematics for Class 2.
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FAQs on 3-Digit Numbers Class 2 Notes Maths

1. What is the place value of a number?
Ans. The place value of a number refers to the value of a digit based on its position in the number. In a three-digit number, the place value of the digits can be determined as follows: - Hundreds place: The leftmost digit represents the hundreds place, and its value is 100 times the digit itself. - Tens place: The middle digit represents the tens place, and its value is 10 times the digit itself. - Ones place: The rightmost digit represents the ones place, and its value is the digit itself. For example, in the number 365, the place values are as follows: - 3 is in the hundreds place, so its value is 3 x 100 = 300. - 6 is in the tens place, so its value is 6 x 10 = 60. - 5 is in the ones place, so its value is 5.
2. What is the face value of a number?
Ans. The face value of a number refers to the value of the digit itself, regardless of its position in the number. In a three-digit number, the face value of each digit remains the same. For example, in the number 365, the face value of each digit is as follows: - The face value of 3 is 3. - The face value of 6 is 6. - The face value of 5 is 5.
3. What is the expanded form of a number?
Ans. The expanded form of a number represents the number as a sum of its place values. In a three-digit number, the expanded form can be written by adding the products of each digit and its respective place value. For example, in the number 365, the expanded form is: - 300 + 60 + 5
4. How do you arrange three-digit numbers in ascending order?
Ans. To arrange three-digit numbers in ascending order, start by comparing the hundreds place digits. If they are the same, compare the tens place digits. If those are also the same, compare the ones place digits. Repeat this process until all the numbers are arranged in ascending order. For example, to arrange the numbers 356, 254, and 489 in ascending order, the correct arrangement would be: - 254, 356, 489
5. What are even and odd numbers?
Ans. Even numbers are those that are divisible by 2, leaving no remainder. They can be recognized by having a units digit of 0, 2, 4, 6, or 8. In a three-digit number, if the units digit is any of these, the number is even. Odd numbers, on the other hand, are not divisible by 2 and always have a units digit of 1, 3, 5, 7, or 9. If the units digit of a three-digit number is any of these, the number is odd.
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