PLACE VALUE

The place value of a digit in a number is the value it holds to be at the place in the number.

In this section, you will learn how to find place value of a particular digit in a number. 

When we look at the picture given below, we can clearly understand how to find the place-value. 

We can use the formula given below to find place value of a particular digit in a number. 

Place value of a digit is 

=  Face value of the digit x Value of the place 

Example : 

The place value of 7 in 5,782 is 

=  7 x 100

=  700

Note : 

1. The face value of a digit for any place in the given number is the value of the digit itself.

2. The place value of zero (0) is always 0. It may hold any place in a number, its value is always 0.

Example : 

The place value of 0 in 2,052 is 

=  0 x 100

=  0

Solved Examples

Example 1 :

Find the place value of 3 in 4,356.

Solution :

So, the place value of 3 is

=  3 x 100

=  300

Example 2 :

Find the place value of 1 in 1,248.

Solution :

So, the place value of 1 is

=  1 x 1000

=  1000

Example 3 :

Find the place value of 0 in 506

Solution :

So, the place value of 0 is

=  0 x 10

=  0

Example 4 :

Find the place value of 2 in 20,054.

Solution :

So, the place value of 2 is

=  2 x 10,000

=  20,000

Example 5 :

Find the place value of 3 in 102,345.

Solution :

So, the place value of 3 is

=  3 x 100

=  300

Example 6 :

Find the place value of 9 in 956.

Solution :

So, the place value of 9 is

=  9 x 100

=  900

Example 7 :

Find the place value of 2 in 2,466.

Solution :

So, the place value of 2 is

=  2 x 1,000

=  2,000

Example 8 :

Find the place value of 9 in 219,775.

Solution :

So, the place value of 9 is

=  9 x 1,000

=  9,000

Example 9 :

Find the place value of 2 in 219,775.

Solution :

So, the place value of  is

=  2 x 100,000

=  200,000

Example 10 :

Find the place value of 4 in 4,356.

Solution :

So, the place value of 4 is

=  4 x 1,000

=  4,000

Example 11 :

The face value of 5 in 53629 is -----------.

Solution :

The face value of a digit for any place in the given number is the value of the digit itself. So, the face value of 5 is 5.

Example 12 :

1 thousand = ---------- hundreds.

Solution :

1 thousand = 1000

= 10 x 100

So, it is equal to 10 hundreds.

Example 13 :

The successor of largest 4 digit number is ---------.

Solution :

Greatest 4 digit number = 9999

Successor of 9999 is 10000.

Example 14 :

The largest 6 digit number is ----------.

Solution :

The greatest six digit number is 999999.

Example 15 :

The smallest 5-digit numeral is ----------.

Solution :

The smallest 5 digit number is 10000.

Example 16 :

The numeral just before 90,000 is ----------.

Solution :

The numeral form of 90000 is ninety thousands.

Example 17 :

The places, thousands and ten thousands, belong to the -------- period.

Solution :

The places, thousands and ten thousands, belong to the thousands period

Example 18 :

------------ hundred = 10 tens.

Solution :

10 tens = 10 x 10

= 100

1 hundred = 10 tens

Choose the correct option.

Example 19 :

The sum of the place value and face value of 3 in 6,53,268 is---

(a) 3003     (b) 3030      (c) 3000     (d) 6

Solution :

The given number is 6,53,268

Place value of 3 = 3000

Face value of 3 = 3

= 3000 + 3

= 3003

So, the answer is option a.

Example 20 :

8 x 1,00,000 + 5 x 10,000 + 6 x 1,000 + 9 x 100 + 0 + 5

is equal to —

(A) 856095    (B) 856905     (C) 850695    (D) 865905

Solution :

= 8 x 1,00,000 + 5 x 10,000 + 6 x 1,000 + 9 x 100 + 0 + 5

= 856905

So, option (B) is correct.

Example 21 :

Find the sum and difference of the place values of two sevens in

3,98,73,270

Solution :

Place values of 7 in the given number is 70 and 70000

Difference between these two = 70000 - 70

= 69930

Example 22 :

4,00,000 + 7,000 + 60 + 1 = --------.

Solution :

= 4,00,000 + 7,000 + 60 + 1

= 407061

Example 23 :

Total number of two digit numbers are----.

Solution :

Smallest two digit number = 10

Greater two digit number = 99

Total number of two digit numbers = 99 - 9

= 90 numbers.

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