Place Value - Numeration ?

PLACE VALUE:-

We know that the value of a digit is the product of the digit and the value of the place.

Let us write a number using . The number name for 55,555 is 

'Fifty- Five thousand five hundred fifty- five'.

 

We can represent 55555 in the place value chart as follows:-

Thousands period		Ones Period
Ten thousands	Thousands	Hundreds	Tens	Ones
e	d	c	b	a
5	5	5	5	5

 

The place value of '5' in column 'e' is 5 ten thousands = 5*10000= 50,000

The place value of '5' in column 'd' is 5 thousands = 5*1000= 5,000

The place value of '5' in column 'c' is 5 hundreds = 5*100= 500

The place value of '5' in column 'b' is 5 tens = 5*10= 50

The place value of '5' in column 'a' is 5 ones= 5*1= 5

How many times is the place value of the number represented by '5' in column 'e' as bigger as the place value of the number represented by '5' in column 'd'

Ans:- 10 times

The '5' in column 'd' stands for a number 10 times the number represented by the '5' in column 'c'. 

The '5' in column 'c' stands for a number 10 times the number represented by the '5' in column 'b'. 

Hence, a number 5 in one column stands for a number 10 times as big as the number itself if it were placed in the column to the right of it.

The chart given below illustrates this point and will help us understand the above concept better.

Lets solve these two examples:-

Example 1:- 

Which digit is in the tens thousand place in the following numbers?

(a) 5,279

(b) 65,817

(c) 80,020

(d) 78,956

Ans:-

 

Example 2:-

Ans:-