Page 16 - Math Genius C3

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\ 01-Oct-2025 Bharat Arora Proof-10 Reader’s Sign _______________________ Date __________

exPaNDeD Form oF a Number

Expanded form of a number means expressing the number as the sum of the place values
of its digits.

For example: Th H t O
4 5 8 9
9 ones = 9 × 1 = 9

8 tens = 8 × 10 = 80
5 hundreds = 5 × 100 = 500 Expanded form of 4589
4 thousands = 4 × 1000 = 4000 is 4000 + 500 + 80 + 9.

staNDarD Form

When we write a number using digits 0-9 according to their place values, the number is
said to be in standard form.
For 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 Standard Expanded

form form
Practice time 1b

1. Write the place value of each digit in the boxes.

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

2. Write the face value and 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) 6375 = 6000 + _____ + 70 + _____
(b) 5082 = ______ + 0 + ______ + 2

(c) 8421 = 8 thousands + _____ hundreds + _____ tens + 1 one

(d) 4095 = ___ thousands + ____ hundreds + 9 tens + ____ ones

14 Mathematics-3