Maths For Class 1 To 12

Expanded Form of a Number By Aashish Gupta  Sir              Class  2               Expanded Form of a Number Expanded form of a number is simply the sum of place value of different digits of a numeral. Place Value of a number = Number × Value of that place Steps : 1. Write given number in place value chart. 2. Write each Digit with its place and put  addition sign. 3. Multiply each Digit with value of the place. 2- Digit Number Example 1. Write the expanded form of 45. 5 is at Ones Place and Value at Ones place is 1 times. 4 is at Tens Place and Value at Tens place is 10 times. So 45 =  4 Tens  +  5 Ones       =  4 × 10   +  5 × 1       =  40    +    5 3 - Digit Number Example 2. Write the expanded form of 618. 8 is at Ones Place and Value at Ones place is 1 times. 1 is at Tens Place and Value at Tens place is 10 times. 6 is at Hundreds Place and Value at Hundreds place is 100 times. So 618  = 6 Hundreds  +  1 Tens   +  8 Ones          =  6 × 100        

Increasing / Ascending Numbers & Decreasing / Descending Numbers By Aashish Gupta Sir               Class   2              Increasing & Decreasing Numbers How To Arrange Numbers in increasing order To Arrange numbers in increasing order we arrange from SMALLEST  to   LARGEST To Arrange numbers in decreasing order we arrange from LARGEST   to   SMALLEST Steps to arrange in increasing numbers Example 1 : Arrange   312,  65  ,  208 in increasing order. Step 1 : Put given numbers in  Place Value Chart                H            T          O                3             1          2                               6          5                2             0          8 Step 2 : 65 is a 2-digit numbers but others are 3- digit number.  Formula 1 : We know numbers with less digits are smaller than more digit numbers. So 65 is smallest among the three numbers. Now check remaining numbers for smaller number. Formula 2 : Since 65 is a 2-digit number and others

Even Numbers & Odd Numbers  By Aashish Gupta Sir              Class 1 & 2          Even Numbers Numbers which are exactly divisible by 2 , are called Even Numbers.  Even numbers have 0, 2, 4, 6 or 8 at their ONE'S place. Example -   1 8   , 4 0 , 5 4 , 7 2 , 5 6 etc. Odd Numbers Numbers which are not  exactly divisible by 2 , are called Odd  Numbers.  Odd numbers have 1, 3, 5, 7 or 9 at their ONE'S place. Example -  1 9 , 2 7 , 3 3 , 4 5 ,  7 1 etc. How to check a numbers for Even or Odd Example 1. Check whether 57 is even or odd. Step 1 : One's digit in 57 is 7. Step 2 : We know that  one's digit in odd number should be 1,3,5,7 or 9. Step 3 : Here one's digit is 7. So we can say that 57 is an odd number. Example 2. Check whether 56 is even or odd. Step 1 : One's digit in 56 is 6. Step 2 : We know that  one's digit in even number should be 0,2,4,6 or 8. Step 3 : Here one's digit is 6.  So we can say that 56

Bigger Number & Smaller Number By Aashish Gupta Sir                Class 1 &  2           Bigger Number How to Find Bigger Number in 2- digit numbers Example 1 :  Which is Bigger  - 34  or 67 Step 1 :  Put given numbers in a Place Value Chart                Tens      Ones            3              4            6              7     Step 2 : Check Tens digit of both the numbers. Number having bigger Tens digit is bigger. Step 3 :Here Tens digit are  3 &  6. We know 6 is bigger than 3. So 67 is bigger than 34. Example 2 :  Which is Bigger  33 or 36 Step 1 :Put given numbers in a Place Value Chart         Tens      Ones            3              3            3              6     Step 2 : Check Tens digit of both the numbers. Number having bigger Tens digit is bigger. Step 3 :Here Tens digit are  3  &  3. Both have same Tens digit 3. So we proceed to next step. Step 4 : Since Tens digits are same, so we now compare Ones digits. Here ones digit are 3