Page 20 - Math Genius C2

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\ 26-Sep-2025 Bharat Arora Proof-10 Reader’s Sign _______________________ Date __________

Look at the numbers shown on the abacus.

H T O H T O
3 6 7 digit Place value 7 3 6 digit Place value

7 7 ones or 7 6 6 ones or 6
6 6 tens or 60 3 3 tens or 30
3 3 hundreds or 300 7 7 hundreds or 700

Observe how the place value of each digit changes when their positions change in
the two numbers 367 and 736.

Face Value Get it right!

The face value of a digit in any number is the digit The place value of 2 in

itself. The face value of a digit always remains the same 208 is 100 because 2 is

irrespective of its position in the number. in the hundreds place. 7
The place value of 2
Consider the number 186. in 208 is 2 hundreds
or 200. 3
1 8 6
Face value of 6 is 6. Math Insight
Face value of 8 is 8. The place value and the face
Face value of 1 is 1. value of a digit in the ones
place are always equal.

Fast Check Logical Thinking

1. The place value and face value of 0 at any place in any number is
always 0. Is it true for other digits also?

_________________________________________________________________

2. Which digit in the number 397 has the same place value as its face value?

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3. Write the place value and the face value of each digit in the following numbers.

(a) 520 __________________________________________________________

(b) 515 __________________________________________________________

(c) 307 __________________________________________________________

18 Mathematics-2