Page 16 - Viva

Expanded Form and Standard (Short) Form
Expanded form of a number is the sum of the place values of its digits.

Consider the 4-digit number 8168. It can be written in the expanded form as shown below.
8168 = 8000 + 100 + 60 + 8

It can also be written in the expanded form in words.

8168 = 8 thousands + 1 hundred + 6 tens + 8 ones = 8 Th + 1 H + 6 T + 8 O
Similarly, if the expanded form of a number is given, its standard (short) form can be
written by writing the face value of each digit in the correct place.

For example, 7000 + 500 + 30 + 2 can be written in short form as follows.

Expanded form Standard form (Short form)
7000 + 500 + 30 + 2 7532

Example 4: Write 5 thousands + 3 hundreds + 8 tens + 1 one in standard form.

Solution: 5381
Example 5: Write 4653 in expanded form.

Solution: 4000 + 600 + 50 + 3 or 4 Th + 6 H + 5 T + 3 O

Exercise 1.2

1. Write the face value and the place value of the circled digits for the following

numbers.
(a) 7 430 (b) 1 4 26 (c) 491 2 (d) 6 8 21 (e) 82 9 6

2. Write the place value of digit 8 in the following numbers.

(a) 8456 (b) 8901 (c) 2857

(d) 6280 (e) 5478 (f) 1826

3. Write the following numbers in expanded form.

(a) 5720 = + + +

(b) 3209 = + + +

(c) 4068 = + + +

(d) 7032 = + + +

(e) 1111 = + + +

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