Expanded Form and Standard Form of a Number

EXPANDED FORM AND STANDARD FORM OF A NUMBER:

Expanded Form:

The expanded form of a number is written as the sum of the place values of each digit.

Standard Form :

In writing the standard form of a number ,we have to write the face value of each digit at its correct place.

 Expanded Form:

1) 5736 :

Answer:

There are 4 digits in the number  5736. The digits occupies four place values .i.e; Ones(O),Tens(T),Hundreds(H),Thousands(Th).

The place values for the digits are given from right to left in the number.

5736 = 5000 + 700 + 30 + 6.

 

2)  9406:

 In this number  9406, zero is in tens place.If digit zero is in any place in the number,then we need not write the digit zero place value in the expansion of that number.

9406 = 9000 + 400 + 0 + 6

         = 9000 + 400 + 6.

3)  68927 = 60,000 + 8,000 + 900 + 20 + 7.

4)  5040 =  5000 + 40.

 

Standard Form:

1)  7000 + 200 + 1 =

  In the expanded form , the greatest place value is Thousands and the digit is 7. The next greatest place value is Hundreds,the digit  is 2.The next is Tens place, and then  it is Ones place,the digit is 1.

In the given problem,there is no digit in the tens place.If there is no place value for a digit in the expansion,we have to put zero in its place value while writing the number.

So, in writing the number we have to put zero in Tens place value of the number.

7000 + 200 + 1 = 7201 .

 

2)  6000 + 40 + 5 =

Here, the greatest place value is Thousands and the digit is 6, next greatest is Hundreds: in Hundreds place no digit is there i.e; 0.so we have to put 0 in Hundreds Place value.The next place value is Tens,the digit is 4. The next place value is Ones,the digit is 5.

Therefore; 6000 + 40 + 5 = 6045.

 

3) 40000 + 900 + 50 =

The greatest Place value is TenThousands,the digit is 4.The next greatest place value is Thousand,no digit is there so the digit is 0 .The next is Hundreds place value,the digit is 9.The next place value is Tens,the digit is 5.The next place value is Ones, no digit is there in Ones place,so the digit is 0.

 Therefore, 40000 + 900 + 50 = 40950.

 

4) 8000 + 200 + 50 + 7 = 8257.

5) 900 + 80 + 3 = 983.