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E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_01
\ 11-Sep-2024 Surender Prajapati Proof-4 Reader’s Sign _______________________ Date __________

exPaNDeD Form oF a Number

Expanded form of a number means expressing the given number as the sum of the place
value of its each digit.

example: th H t O
4 5 8 9
9 ones = 9 × 1 = 9 Expanded form of 4589 is

8 tens = 8 × 10 = 80 4000 + 500 + 80 + 9.
5 hundreds = 5 × 100 = 500
4 thousands = 4 × 1000 = 4000

short Form

When we write a number using digits (0, 1, 2, 3, ..., 9), keeping in mind its place value,
the number is said to be in short form.
example: 7000 + 500 + 80 + 4 = 7 × 1000 + 5 × 100 + 8 × 10 + 4 × 1

= 7 thousands + 5 hundreds + 8 tens + 4 ones 7584 = 7000 + 500 + 80 + 4

= 7584 Short Expanded

form form
Practice time 1b

1. In the given numbers, write the place value of each digit in blank boxes.

(a) 6 3 2 9 (b) 1 5 0 8 (c) 4 9 8 0

2. Write the face value and the place value of the underlined digits.

(a) 1234 (b) 7851 (c) 9802
Face value: _______ Face value: _______ Face value: _______

Place value: _______ Place value: _______ Place value: _______

3. Fill in the blanks.

(a) 6,375 = 6,000 + _____ + 70 + _____
(b) 5,082 = ______ + 0 + _____ + 2

(c) 8,421 = 8 thousands + _____ hundreds + _____ tens + 1 one

(d) 4,095 = ___ thousands + ____ hundreds + 9 tens + ____ ones

14 Mathematics-3