Expanded Form of Numbers

The way of writing a number as the sum of the place values of its digits is called the expanded form of numbers.


Consider the numeral 478:

We know that:      478

                       = 4 hundreds + 7 tens + 8 ones

                       = 400 + 70 + 8

                       = 478.

400 + 70 + 8 is the expanded form of 478.


478 is the short form of 400 + 70 + 8.

1. Write each of the following in expanded form: 

One has been done for you.

(i)

815

=

800

+

10

+

5

(ii)

313

=

_____

+

_____

+

_____

(iii)

907

=

_____

+

_____

+

_____

(iv)

749

=

_____

+

_____

+

_____

(v)

639

=

_____

+

_____

+

_____

(vi)

880

=

_____

+

_____

+

_____

(vii)

768

=

_____

+

_____

+

_____

(viii)

435

=

_____

+

_____

+

_____

(ix)

691

=

_____

+

_____

+

_____

(x)

986

=

_____

+

_____

+

_____


Answer:

1. (ii) 300 + 10 + 3

(iii) 900 + 00 + 7

(iv) 700 + 40 + 9

(v) 600 + 30 + 9

(vi) 800 + 80 + 0

(vii) 700 + 60 + 8

(viii) 400 + 30 + 5

(ix) 600 + 90 + 1

(x) 900 + 80 + 6


2. Write each of the following in short form:

One has been done for you.

(i) 700 + 80 + 1 = 781

(ii) 900 + 70 + 9 = _____

(iii) 500 + 10 + 9 = _____

(iv) 600 + 90 + 0 = _____

(v) 500 + 70 + 2 = _____

(vi) 500 + 50 + 5 = _____


Answer:

2. (ii) 979

(iii) 519

(iv) 690

(v) 572

(vi) 555



2nd Grade Math Practice

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