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E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_01
\ 11-Sep-2024 Surender Prajapati Proof-4 Reader’s Sign _______________________ Date __________
5. Write the numbers for the following number names.
(a) Two thousand one hundred sixty-eight ___________________
(b) Four thousand ninety-nine ___________________
(c) Six thousand four hundred eleven ___________________
(d) Five thousand six hundred ___________________
FaCe Value aND PlaCe Value
The face value of a digit is the value of the digit itself.
The place value of a digit in a number is the value of the digit by virtue of its place.
It is obtained by finding the product of the face value of the digit and the value of its
corresponding place in the number.
example: In number 2176.
Face value Place value
th H t O th H t O
2 1 7 6 2 1 7 6
6 6 ones = 6 × 1 = 6
7 7 tens = 7 × 10 = 70
1 1 hundred = 1 × 100 = 100
2 2 hundreds = 2 × 1000 = 2000
example 1: Write the place value of 7 in the given set of numbers: 7; 78; 789 and 7893.
Solution:
th H t O Place value of 7 Note
7 7 ones or 7 As a number moves
7 8 7 tens or 70 towards left, its
7 8 9 7 hundreds or 700 place value keeps on
7 8 9 3 7 thousands or 7000 increasing by 10 times.
example 2: Find the face value and the place value of each
Remember
digit in 9409. Place value of 0 is
Solution: th H t O always 0.
9 4 0 9 Face value Place value
9 9 ones = 9 × 1 = 9
0 0 tens = 0 × 10 = 0
4 4 hundreds = 4 × 100 = 400
9 9 thousands = 9 × 1000 = 9000
Mathematics-3 13

