Face Value : The face value of a digit in a number is the value of the digit itself, regardless of its position in the number. The face value of a digit remains the same no matter where it is located within the number.

Note :  The face value is the number itself. 

Example 

In the number 43857, the face value of 4 is 4, the face  value of 3 is 3 and so on.  

Place Value (Local Value) : The place value of a digit in a number depends on its position in the number. It is determined by multiplying the face value of the digit by the value of the place (unit, tens, hundreds, thousands, etc.) that the digit occupies.

Example

In the number 58321, we can find the place value of all  the digits by expanding the number as

5 × 10⁴ + 8 × 10³ + 3 × 10² + 2 × 10¹ + 1 × 10^o.

So, The place  value of 5, 8, 3 and 2 in the given number is 50000, 8000,  300 and 20, respectively.

Q. In the number 4753, the place value of:

• 4 (thousands place) is $4000$
• 7 (hundreds place) is 7 × 100 =700
• 5 (tens place) is 5 × 10 = 50
• 3 (units place) is 3 × 1 = 3

Q. Consider the number 28649.

The face value and place value of each digit are as follows:

• Digit : 2, Face Value : 2, Place Value : $20000$ (ten thousand place)
• Digit : 8, Face Value : 8, Place Value : 8 × 1000 =8000 (thousand place)
• Digit : 6, Face Value : 6, Place Value : 6 × 100 = 600 (hundred place)
• Digit : 4, Face Value : 4, Place Value : 4 × 10 = 40 (tens place)
• Digit : 9, Face Value : 9, Place Value : 9 × 1 = 9 (units place)

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Q. What is the difference between the place and  face values of 3 in 52310

Solution : 

• Face value of 3 = 3
• Place value of 3 = 300
• Required difference = 300 - 3 = 297

Decimal System :  In decimal system, we use ten symbols  0, 1, 2, 3, 4, 5, 6, 7, 8 and 9, which are called digits. These digits  are valid on National and International levels both.  

Numeration System : Numeration system deals with  expressing a number in words.

Indian/Hindu-Arabic System

International System

Example

Q. Convert the following numbers into figure form 

a. Five crore nine lakh sixty thousand and nine  

• 5 × 10⁷ + 9 × 10⁵ + 60 × 10³ + 9 × 1
• 50000000 + 900000 + 60000 + 9
• 50960009

b. Five million eight thousand seventy one  

• 5 × 10⁶ + 8 × 10³ + 7 × 10 + 1 × 1
• 5000000 + 8000 + 70 + 1
• 5008071

Q. Convert each of the following numbers into  words in both Indian and International Systems. 

(i) 973276  

Indian System = Nine lakh seventy three thousand two hundred  seventy six.  

International System = Nine hundred thousand seventy three  thousand two hundred seventy six.  

(ii) 1000567  

Indian System = Ten lakh five hundred sixty seven.  

International System = One million five hundred sixty seven.

Relate Post For CTET

1. What is the place value of 7 in the number 3,476 (৩,৪৭৬-ত ৭ সংখ্যাটোৰ স্থান মান কিমান)

a) 7
b) 70
c) 700
d) 7000

2. What is the face value of 5 in the number 8,952 (সংখ্যা ৮,৯৫২-ত ৫ সংখ্যাটোৰ মুখ্য মান কি)

a) 5
b) 50
c) 500
d) 5000

3. In the number 62,348, what is the place value of 3 (সংখ্যা ৬২,৩৪৮-ত ৩ সংখ্যাটোৰ স্থান মান কিমান) 

a) 3
b) 30
c) 300
d) 3000

4. The face value of 9 in 59,671 is (সংখ্যা ৫৯,৬৭১-ত ৯ সংখ্যাটোৰ মুখ্য মান কি)

a) 9
b) 90
c) 900
d) 9000

5. Find the place value of 4 in 54,682 (সংখ্যা ৫৪,৬৮২-ত ৪ সংখ্যাটোৰ স্থান মান বিচাৰক)

a) 4
b) 40
c) 400
d) 4000

6. In 27,149, the face value of 1 is (সংখ্যা ২৭,১৪৯-ত ১ সংখ্যাটোৰ মুখ্য মান হ’ল) 

a) 1
b) 10
c) 100
d) 1000 

7. What is the place value of 8 in 48,259 (সংখ্যা ৪৮,২৫৯-ত ৮ সংখ্যাটোৰ স্থান মান কিমান) 

a) 8
b) 80
c) 800
d) 8000

8. The face value of 2 in the number 92,134 is (সংখ্যা ৯২,১৩৪-ত ২ সংখ্যাটোৰ মুখ্য মান কি) 

a) 2
b) 20
c) 200
d) 2000

9. What is the place value of 6 in 36,587 (সংখ্যা ৩৬,৫৮৭-ত ৬ সংখ্যাটোৰ স্থান মান কিমান) 

a) 6
b) 60
c) 600
d) 6000

10. The face value of 3 in 43,216 is (সংখ্যা ৪৩,২১৬-ত ৩ সংখ্যাটোৰ মুখ্য মান কি) 

a) 3
b) 30
c) 300
d) 3000

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