Page 14 - MathGPT_V1.0_C5

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\\November 3, 2023 10:40 AM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74

Example 2: Write the place value of each digit in the following numbers:
(a) 80,50,107 (b) 3,35,21,604

Solution:
(a)
TL L TTh Th H T O

8 0 5 0 1 0 7
Place value
7 × 1 = 7
0 × 10 = 0
1 × 100 = 100
0 × 1000 = 0
5 × 10000 = 50000
0 × 100000 = 0
8 × 1000000 = 8000000

(b)
C TL L TTh Th H T O Note
The place value and
3 3 5 2 1 6 0 4 the face value of 0 is

Place value always 0 in the number.
4 × 1 = 4
0 × 10 = 0

6 × 100 = 600
1 × 1000 = 1000
2 × 10000 = 20000

5 × 100000 = 500000
3 × 1000000 = 3000000
3 × 10000000 = 30000000

Example 3: Find the sum and the difference of the place values of the coloured digits in
3,72,90,785.
Solution:
C TL L TTh Th H T O

3 7 2 9 0 7 8 5 Get it right!
Place value 6 10 6 9 9 910
7 × 100 = 700 7000000 7000000
7 × 1000000 = 7000000 – 700 – 700
6000300 6999300
Sum of the place values of the 7 = 7000000 + 700

= 7000700
Difference of the place values of the 7 = 7000000 – 700

= 6999300

12 Mathematics-5