Page 15 - Math Genius C3

E:\Working\Orange_Education\Math_Genius_3\Open_Files\CHAP_01
\ 01-Oct-2025 Bharat Arora Proof-10 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 digit itself.

The place value of a digit is the value of the digit depending on its place.

To find the place value of a digit, multiply the digit by the value of its place.

For example: In the 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 thousands = 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 Be Aware
7 7 ones or 7 If a digit moves
7 8 7 tens or 70 towards the left in
7 8 9 7 hundreds or 700 a number once, its
place value increases
7 8 9 3 7 thousands or 7000 10 times.
Example 2: Find the face value and the place value of each Math Insight
digit in 9409. The place value of 0 is
always 0.
Solution: Th H t O
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

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