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example 2: Find the face value and the place value of each
Remember
digit in 9409. Place value of 0 is
Solution: th H t O always 0.

9 4 0 9 Face value Place value
9 9 ones = 9 × 1 = 9
0 0 tens = 0 × 10 = 0

4 4 hundreds = 4 × 100 = 400
9 9 thousands = 9 × 1000 = 9000

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

14 Mathematics-3