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\\December 6, 2023 1:30 PM Bharat Arora P-6 Reader _________________________ Date: ___________________74

Now, if we add the place values of each digit together, then we get

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

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

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

(a) 23498 (b) 64021 (c) 578587 (d) 983198

Solution:
(a) We can express 23498 in the expanded form as

23498 = 2 × 10000 + 3 × 1000 + 4 × 100 + 9 × 10 + 8 × 1

= 20000 + 3000 + 400 + 90 + 8

(b) We can express 64021 in the expanded form as

64021 = 6 × 10000 + 4 × 1000 + 0 × 100 + 2 × 10 + 1 × 1

= 60000 + 4000 + 20 + 1

(c) We can express 578587 in the expanded form as

578587 = 5 × 100000 + 7 × 10000 + 8 × 1000 + 5 × 100 + 8 × 10 + 7 × 1

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

(d) We can express 983198 in the expanded form as

983198 = 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 short form.

(a) 40000 + 8000 + 900 + 90 + 1 Quick 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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