Page 17 - Math Genius C4

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\\September 30, 2025 9:37 AM Bharat Arora P-9 Reader _________________________ Date: ___________________74

Now, if we add the place values of all the digits together, then we get

100000 + 20000 + 4000 + 500 + 80 + 7 = 1,24,587 ← Standard Form
Inversely, we can express the number as the sum of the place values of the digits as:

1,24,587 = 100000 + 20000 + 4000 + 500 + 80 + 7 ← expanded Form

example 2: Express the following numbers in their expanded form.

(a) 23,498 (b) 64,021 (c) 5,78,587 (d) 9,83,198

Solution:
(a) We can express 23,498 in the expanded form as

23,498 = 2 × 10000 + 3 × 1000 + 4 × 100 + 9 × 10 + 8 × 1

= 20000 + 3000 + 400 + 90 + 8

(b) We can express 64,021 in the expanded form as

64,021 = 6 × 10000 + 4 × 1000 + 0 × 100 + 2 × 10 + 1 × 1

= 60000 + 4000 + 20 + 1

(c) We can express 5,78,587 in the expanded form as

5,78,587 = 5 × 100000 + 7 × 10000 + 8 × 1000 + 5 × 100 + 8 × 10 + 7 × 1

= 500000 + 70000 + 8000 + 500 + 80 + 7

(d) We can express 9,83,198 in the expanded form as

9,83,198 = 9 × 100000 + 8 × 10000 + 3 × 1000 + 1 × 100 + 9 × 10 + 8 × 1

= 900000 + 80000 + 3000 + 100 + 90 + 8

example 3: Write the numbers in their standard form.

(a) 40000 + 8000 + 900 + 90 + 1 Fast Check

(b) 700000 + 30000 + 5000 + 100 + 20 + 8 Fill in the blanks.
(c) 800000 + 4000 + 600 + 30 + 2 1. 200000 + ______ + 100 +

(d) 600000 + 90000 + 7 60 + ____ = 250169

Solution: 2. 3 × 10000 + 7 × 1000 +
6 × 100 + 8 × 1 = ______
(a) 40000 + 8000 + 900 + 90 + 1 = 48,991

(b) 700000 + 30000 + 5000 + 100 + 20 + 8 = 7,35,128
(c) 800000 + 4000 + 600 + 30 + 2 = 8,04,632

(d) 600000 + 90000 + 7 = 6,90,007

teacher’s Explain to the students that zero is the only digit whose place value is always zero, irrespective of the place it
tip occupies in the number. For example, in 55077, the place value of 0 in the hundreds place is zero.

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